Answer:
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)
Hope it helped... Plz mark as BRAINLIEST... And follow me..
Thanks
The coordinates of the vertex of the parabola is given by V ( 4 , -5 )
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the equation of the parabola be represented as f ( x )
Now , f ( x ) = -7 ( x - 4 )² - 5
And , equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
Comparing the given equation to the vertex form, we can see that the vertex is at (4, -5), and the coefficient a = -7.
Hence , the coordinates of the vertex are (h, k) = (4, -5)
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If y varies inversely with x and y= 17
when z = 11
when y = 11
find y when x=19
.
Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar.
Distinct four-letter sequences are formed by picking 4 letter tiles from a bag containing 11 different alphabet tiles. Note that the order in which the letters are picked matters.
The probability of getting a particular four-letter sequence is .
The probability of getting a particular four letter sequence is [tex]\frac{1}{7920}[/tex].
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]
Where:
n – the total number of elements in a set
k – the number of selected elements arranged in a specific order
! – factorial
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula for probabilityP(E) = number of favorable outcomes/ total number of outcomes
According to given question
We have
Total number of tiles = 11
And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.
⇒ n = 11 and k = 4
So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]
⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]
Since, we have to get only one particular sequence.
⇒ Total number of favorable outcomes = 1
And there are total number of four teller sequence = 7920
⇒ Total number of outcomes = 7920
Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]
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Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?
Answer:
Masses Below 6: Histogram
Median Mass: Box Plot
Step-by-step explanation:
For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.
For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.
Brainilest Appreciated.
what is it- help meh pwese
Answer:
Option A
Step-by-step explanation:
Because 72/9 = 8 or 8/1
Hope this helps and pls make as brianliest :)
Answer:
A
Step-by-step explanation:
the numerator is 72
while the denominator is 9
divide
72/9 = 8
we have a numerator 8
when the answer is a whole number the denominator is always 1
so the answer is 8/1
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answer:
Option A.
Step-by-step explanation:
there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let x and y be the number of stamps of 40 cents and 55 cents respectively.
Total number of stamps is 45. So
[tex]x+y=45[/tex]
Total cost of stamps is $18.75. So
[tex]0.40x+0.55y=18.75[/tex]
But Krista wrote the system of equations as
[tex]0.40x+y=45[/tex]
[tex]x+0.55y=18.75[/tex]
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not write 0.40 in the second equation meant for the value of stamps.
Therefore, the correct option is A.
Answer:
The answer is A
Step-by-step explanation:
TOOK THE TEST!
The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...? an = 2 · 3n - 1 an = 2 · (-3)n - 1 an = 3 · 2n - 1 an = -3 · 2n - 1
Answer:
The second choice
Step-by-step explanation:
So first we would plug in the first term which is 2 so we would get [tex]an=2[/tex] times [tex]rn-1[/tex] so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be [tex]an= 2[/tex] times [tex]-3n-1[/tex]. Now we would just find the choice that matches and it would be the second choice.
Answer:
option 2
Step-by-step explanation:
First term [tex]a_{1} = 2\\[/tex]
common ratio = r = second term ÷ first term
= -6 ÷2 = -4
Plug in the values of [tex]a_{1}[/tex] & r in the formula
[tex]a_{n} = a_{1}*r^{n-1}\\\\\\a_{n}=2 * (-3)^{n-1}[/tex]
Please I need help!
Write the equation of the line that passes through the points (7, -4) and ( 1, 3), first in point-slope form, and then in
slope intercept form
The slope of the line is
When the point (7, -4) is used, the point-stope form of the line is
The slope intercept form of the line is
Answer:
1)
[tex]\text{ Slope = -3}[/tex]
2)
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
Step-by-step explanation:
We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.
1)
First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:
[tex]m=\frac{3-(-4)}{-1-7}[/tex]
Subtract. So, our slope is:
[tex]m=\frac{7}{-8}=-7/8[/tex]
2)
Now, let's use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:
[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]
Simplify. So, our point-slope equation is:
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
Finally, we want to convert this into slope-intercept form. So, let's solve for our y.
On the right, distribute:
[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]
Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:
[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]
Subtract. So, our slope-intercept equation is:
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
And we're done!
Answer: Shown Below
Step-by-step explanation:
1. -7/8
2. y+4= (-7/8)(x-7)
3. y=(-7/8)x+ (17/8)
Just did it
Which of the following geometric series converges?
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
[tex]S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}[/tex]
Multiply both sides by r :
[tex]rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n[/tex]
Subtract the latter sum from the first, which eliminates all but the first and last terms:
[tex]S_n-rS_n=a-ar^n[/tex]
Solve for [tex]S_n[/tex]:
[tex](1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}[/tex]
Then as gets arbitrarily large, the term [tex]r^n[/tex] will converge to 0, leaving us with
[tex]S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}[/tex]
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Answer:
(-6,6), (0,12), (4,8)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 2 --> 2(x, y)
Before-> After dilation
2(-3,3) = (-6,6)
2(0,6) = (0,12)
2(2,4) = (4,8)
Please leave a 'thanks' if this helps!
What’s the slope for this graphed?
A.1/2
B.-2
C.2
D.-3
Answer:
the answer is just 2
Step-by-step explanation:
start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.
4) Jacqueline, Hanry, and Stanley bought a pizza pie to share for dinner. Harry ate
1/2 of the pie, and then Jacqueline ate 1/2 of what was left. After Jacqueline
finished, Stanley ate 1/2 of what was left of the pie. What fractional part of the
pizza pie was left after Stanley finished eating? Help please
Answer:
1/8
Step-by-step explanation:
ok so before i start i wanna say that this is gonna get confusing.....
Since the pizza is a whole quantity let us take it as 1.
Harry ate half of the pizza therefore the fraction that Harry ate = 1/2 of 1
= 1/2 × 1 = 1/2
Therefore fraction Harry ate = 1/2
Fraction of pizza left = 1 - 1/2 (LCM = 2)
= 1/2
Jacqueline ate 1/2 of what was left.
So, Fraction of pizza Jacqueline ate = 1/2 × 1/2 = 1/4
Therefore fraction of pizza left after both Harry and Jacqueline ate =
1 - (1/2 +1/4) = 1 - 3/4 (LCM = 4) = 1/4
Therfore fraction of pizza left = 1/4
Stanley ate 1/2 of what was left.
So, fraction of pizza Stanley ate = 1/2 × 1/4 = 1/8
Therefore, fraction of pizza left after all three of them ate =
1 - (1/2 + 1/4 + 1/8) = 1 - 7/8 (LCM = 8) = 1/8
I hope this helps .......i know this is rlly confusing but i dont know how else to put it : )
Have a nice day!
Does anyone know this
Answer:
I believe it's 220 in.
Step-by-step explanation:
area = base 1 + base 2 divided by 2 times the height
Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?
Answer:
2/52 or 1/26 or 0.0385 or 3.85%
Step-by-step explanation:
There are 2 black 10's in a standard 52 card deck.
2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)
IMPORTANT! ANSWER QUESTION NOW. Will award brainliest. Find the value of x. Give reasons to justify your solution.
Answer:
48 degrees for A and 7 12 degrees for B
Step-by-step explanation:
As you can see in the first picture, C and x share the same angle and the angle is 48 degrees. On the second picture the answer is 12 because 3*4=12.
PLEASE HELP!!!! Emily is making 2 gallons of punch with 4 parts grape juice to 3 parts pineapple juice to 1 part sparkling cider. How many cups of pineapple juice will Emily need?? Hint (1 gallon = 16 cups)
1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.
The ratio is 4:3:1
Add the ratios: 4+ 3 + 1 = 8
Divide total cups by total ratio:
32/8 =4
Now multiply that by each portion of the ratio:
Grape juice = 4 x 4 = 16 cups
Pineapple juice = 3x4 = 12 cups
Cider = 1x 4 = 4 cups
She needs 12 cups of pineapple juice.
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44
Answer:
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
Step-by-step explanation:
we will use the concept of triangle
1. sum of two sides of triangles is always greater than the third side
2. difference of trow sides of triangle is always less than the third side.
Given two sides
23 and 44
let the third side b x
using first concept
sum of to sides = 23+44 = 67
thus,
x <67
using second concept
Difference of to sides = 44 - 23 = 21
thus,
x > 21
Combining
x <67 and x > 21
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
Help needed urgently explain how to do for each and everyone, please
Answer:
1) a0.1 = 1/10
b).0.64 = 64/ 100 = 16/25
2).a0.7841 = 7841 / 10,000
b).0.67 = 67/100
3). a0.53 = 53/100
b).0.26 = 26/100 = 13/50
4). a0.6 = 6/10 = 3/5
b.0.42 = 42/100 = 21/50
Hope this helps you
Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle. (C) Their angle measures have a sum of 90°. (D) Their angle measures cannot be equal.
Answer:
(D) Their angle measures cannot be equal.
Step-by-step explanation:
(A) It's fine if both angles are acute.
(B) None of the angles can be a right angle.
(C) Their sum has to be 90°.
(D) Their angle measures can be equal.
Answer:
Step-by-step explanation:
D is correct. Complementary angles can certainly be equal (e. g., 45 and 45 degrees) or unequal (e. g., 30 and 60 degrees).
Find the.equation of the line through point (-4,1) and parallel to y=-1/2x -2
Answer: y = -1/2x -1
Step-by-step explanation: since the new line is parallel to the given line the slope of both the lines world be same. Therefore putting the new values in the equation
y-y1=m(x-x1)
y-1=-1/2(x+4)
y-1=-1/2x -2
y=-1/2x-1
Find the odds in favor of rolling two different numbers when rolling a pair of dice.
Answer:
5/6Step-by-step explanation:
The total number of outcomes is 6 x 6 (because a dice has 6 sides) or 36. On the dice, there are 6 sets of matching numbers:
1,1
2,2
3,3
4,4
5,5
6,6
The probability of this is 6/36 or 1/6. The probability of not matching is 30/36 or 5/6.
I'm always happy to help :)The probability of rolling a pair of different numbers when two dices are rolled is 5/6.
What is probability?The probability is the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
How to calculate probability?Total number of combinations when two dices are rolled=[tex]6^{2}[/tex]=36.
Combinations having same pair of numbers=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).
Number of combinations having same pair of numbers=6.
Number of combinations having different pairs of numbers=36-6=30.
Probability of having different pair of numbers=Number of combinations having different pair of numbers/Total combinations
Probability=30/36
=5/6
Hence the probability of rolling a pair of different numbers when two dices are rolled is 5/6.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
2. x = -16 y = -10.5
3. x = 4
4. x = 3 y = 2/9 or 0.2222222222222...
Step-by-step explanation:
2.
in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12
+8y and -8y could delete each other, then y will be gone.
-5x + 6y = 1x = x because -5 + 6 = 1
so then you could got x = (-4) + (-12) which means x = -16
if x = -16 that will then means
(-5) x (-16) + 8y = -4
80 + 8y = -4
8y = -4 - 80
8y = -84
y = -10.5
3.
This question has already given you that y = -5
that means, 3x + 6 × (-5) = -18
3x + -30 = -18
3x = -18 - (-30)
3x = 12
x = 4
4.
Like the 2. qestion, you first plus the 2 equation together,
+9y + -9y = 0
-7x + 4x = -3x
-19 + 10 = -9
than means
-3x = -9
x = 3
then put the x = 3 in one of the equation.
4 x 3 - 9y = 10
12 - 9y = 10
-9y = 10 - 12
-9y = -2
-7 x 3 + 9y = -19
-21 + 9y = -19
9y = -19 + 21
9y = 2
y = 2/9 or 0.2222222222...
Wish this could help you!
Answer:
Step-by-step explanation:
FIRST ,
ADD BOTH EQUATIONS
THEREFORE X=-16 , Y =-21/2
SECOND,
SUBSTITUTE Y=-5 IN EQN.1
THEREFORE X= 4 , Y=-5
THIRD ,
ADD BOTH EQUATIONS
THEREFORE X= 3 , Y= 2/9
MARK ME AS BRAINLIEST PLS...........................................
-----------------> 10x - 3 - 2x = 4
Answer:
[tex]x=\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]10x-3-2x=4[/tex]
First, collect and rearrange the like terms.
[tex]10x-3-2x=4[/tex]
[tex]8x-3=4[/tex]
[tex]8x=4+3[/tex]
Then, solve the equation:
[tex]8x=4+3[/tex]
[tex]8x=7[/tex]
[tex]x=\frac{7}{8}[/tex]
So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!
If you still cannot get the point, you can ask me anytime.
Answer:
x=7/8
Step-by-step explanation:
10x-3-2x=4
collect like term
8x-3=4
move constant to the right-hand side and change its sign
8x-3=4 into 8x=4+3
add up the number : 8x=4+3
8x=7 divide both sides of the equation by 8
x = 7/8
(30 POINTS) Which graph best represents the function f(x) = (x − 1)(x + 3)(x − 3)?
Answer:
C
Step-by-step explanation:
f(x) = (x − 1)(x + 3)(x − 3)
This functions has 3 zeros as 1 ,-3, and 3
Lets evaluate the function at 0
f(0) = (0 − 1)(0 + 3)(0 − 3) = -1 * 3 * -3 = 9
f(2) = (2 − 1)(2 + 3)(2 − 3) = 1 * 5 * -1 = -5
Question below. Please answer it, its math.
Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis
= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "
= [tex]2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}[/tex] - 2x
= [tex]\frac{6x}{5}+3[/tex] - 2x, Combine fractions
= [tex]-\frac{4x}{5}[/tex] + 3
= [tex]-\frac{4}{5}[/tex]x + 3
So we have our simplified expression " [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
If we suppose that Earth is a perfect sphere and its radius is 3,959 miles, then the earth's surface area is ____ . Round your answer to the nearest whole square mile. Enter just a number for your answer. Use pi instead of 3.14 in your calculations.
Answer:
196,961,284
3.5
Step-by-step explanation:
4pi r-squared=
4xpix3959x3959=
196,961,284
196961819/55734819=
3.5
The coefficients of the first three terms in the expansion of (x – y) 4 are PLESE HELP! a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
the answer is C
Step-by-step explanation
I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6
The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.
The coefficient is defined as the number present former to any variable is called a coefficient.
Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6
Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
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From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C. none of these D. 24
================================================
Explanation:
In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.
We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time
Let's try x = 6
4 + x < 20
4 + 6 < 20 ... replace x with 6
10 < 20 ... this is a true statement as 10 is less than 20
So x = 6 is a solution
Let's try x = 16
4+x < 20
4+16 < 20
20 < 20 ... this is false because we can't have a number smaller than itself
Lastly, let's try x = 24
4+x < 20
4+24 < 20
28 < 20 ... also false; 28 is not smaller than 20
We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.
-----------------
Alternative method:
4+x is the same as x+4. We can add two numbers in any order we want.
x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.
x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.
please solve these questions for me. i am having a difficult time understanding.
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
[tex]\angle ABC = 90^{\circ}[/tex]
In ΔDBC
BC=DC (Given)
So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle CDB=\angle DBC=x[/tex]
So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]
Now,
[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]
So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]
In ΔABD
AB = BD (Given)
So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle BAD=\angle BDA=y[/tex]
So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
Can someone help me please
Answer:
No more than ≥
Not under ≤
No less than ≤
maximum ≥
Greater than or equal to ≥
Less than or equal to ≤
Does not exceed ≥
At most ≥
At least ≤
Minimum ≤
hi there plz help me
Answer:
for every 3 tomato plants there will be 1 squash plants
Step-by-step explanation:
9 divided by 3 = 3. That will find the tomatoes
then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.
The answer is B
Answer:
B. Squash
Step-by-step explanation:
There are 9 tomato plants and there are 3 squash plants.
9 ÷ 3 = 3
3 tomato plants = 1 squash plants
3 × 3 = 1 × 3
9 = 3
9 tomato plants = 3 squash plants