Answer:
y° = 25°
Step-by-step explanation:
Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.
According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles. In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.
Solve for y:Hence, we could simply solve for the value of y algebraically:
m∠y° + m∠90° = m∠115°
y° + 90° = 115°
Subtract 90° from both sides:
y° + 90° - 90° = 115° - 90°
y° = 25°
Double-check:Verify whether we have the correct value for y by solving for x:
Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:
m∠115° + m∠x° = 180°
115° + x° = 180°
Subtract 115° from both sides:
115°- 115° + x° = 180° - 115°
x = 65°
According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.
Hence:
m∠x° + m∠y° + m∠90° = 180°
65° + 25° + 90° = 180°
180° = 180° (True statement).
Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.
ANALYZE The table below shows the values of a cubic function. Could there be a zero between
x= 2 and x = 3? Justify your argument.
ONLY QUESTION 30
Answer:
No; no sign change of g(x) in that interval
Step-by-step explanation:
The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.
There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].
_____
Additional comments
We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].
__
First differences of the table values are ...
-5, +1, +2, -3, 0
Second differences are ...
6, 1, -5, 3
Third differences are ...
-5, -6, +8
This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...
g(x) = -5/6x^3 +1/2x^2 +7/3x -1
You may want to discuss this question with your teacher.
determine x+3 is a factor of P(x)=-2x^3-4x^2-7
Answer:
p(0)= -7
Step-by-step explanation:
3|x + 7| + 6 = 18 How many solutions are there to the equation?
Answer:
There are two solutions.
Step-by-step explanation:
x = -3
x = -11
A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta financially affected by the split
Garnetta will have 3,200 shares worth $ 34,125 each.
Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:
3 = 2400 4 = X 4 x 2400/3 = X 9600/3 = X 3200 = X (2400 x 45.50) / 3200 = X 109200/3200 = X 34.125 = X
Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.
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(5, -2); slope =-1 please help I need answers asap
Answer:
y = - x + 3
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 , then
y = - x + c ← is the partial equation
To find c substitute (5, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - x + 3 ← equation of line
Quadrilateral BCHS is a parallelogram with diagonal BH
intersecting diagonal CS at P.
angle BCH = 3x-3.86
angle CHS = 2x+6.58
Find the measure of angle HSB
Answer:
Step-by-step explanation:
HSB will equal BCH
The four internal angles of a parallelogram sum to 360°
Opposite internal angles are equal.
2(3x - 3.86) + 2(2x + 6.58) = 360
6x - 7.72 + 4x + 13.16 = 360
10x = 354.56
x = 35.456
HSB = (3(35.456) - 3.86) = 102.508°
as an estimation we are told 5 miles is 8km convert 40 miles to km
Answer:
62
Step-by-step explanation:
Just do 5/8 = 40/x, and cross-multiply to get:
320 = 5x,
And x will be equal to 62
write the percent as a decimal .84
Answer: 84%
Step-by-step explanation:
The sampling distribution of the ratio of two independent sample variances selected randomly from normal populations with equal variances is:
Answer: F distribution. chi-square distribution. t distribution. normal distribution.
Step-by-step explanation:
HELP ME
WHATS THE PERIMETER
Answer:
12
Step-by-step explanation:
divid half of line
Answer:
Perimeter = 60
Step-by-step explanation:
In order to find the perimeter of the given triangle, we must first determine the value of the missing side. We can use the Pythagorean Theorem to find the missing side of the given right triangle.
According to the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse (the side that is opposite of the right angle, 90°), and a and b represent the legs of the triangle. Use the formula to solve for the missing side. Rearrang the formula to isolate the variable, a:
a² + b² = c²
Subtract b² from both sides:
a² + b² - b² = c² - b²
a² = c² - b²
Next, substitute the given values into the formula:
c (hypotenuse) = 26
b (leg) = 24
a² = c² - b²
a² = (26)² - (24)²
a² = 676 - 576
a² = 100
[tex]\sqrt{(a)^{2}} = \sqrt{100}[/tex]
a = 10
The value of the missing side is 10.
Now, we can solve for the perimeter of the triangle:
P = a + b + c
P = 10 + 24 + 26
P = 60
Therefore, the perimeter of the given right triangle is 60.
write the algebraic expression for 3 less than the product of Y and 2
Answer:
2y-3
Step-by-step explanation:
the product of y and 2 is just multiplying
then 3 less means subt. 3
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answer:
W4 is our new scaled side
Step-by-step explanation:
Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.
3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3
In our case it gets bigger
do 16 divided by 2 which gives us 8 then times that by 3 to get 24
now thats how I solved this problem but if that not how you did it then you can do it your way :3
HOOE THIS HEEELPPED :DDD
solve this equation: x/5+3=2
[tex]\frac{x}{5} +3=2\\\frac{x}{5} =-1\\x=-5[/tex]
Let me know if you need any clarification, I just don't have much to say on a simple question like this
f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=
we have f (x)= -3x + 10
so f(-5)= (-3)(-5) +10 = 15 + 10 = 25
we have g (x) = x^2 - 7x
so g(2)= 2^2 - 7.2 = 4 - 14 = -10
we have f (x)= -3x + 10
so f(4m)= -3(4m)+10 = -12m + 10
ok done. Thank to me :>
A department store sells a pair of shoes with a 15% discount. The original price of the shoes is $75. What is the sale price?
Answer:
$63.75
Step-by-step explanation:
10% = 7.5
5% = 3.75
15% = 11.25
75.00
-11.25
63.75
no link or bot q bpe
Answer:
(3,7)
Step-by-step explanation:
n will be located in x positive , y positive
factor by grouping x^3 − 4x ^2 + 6x − 24
Answer:
[tex](x-4)(x^2+6)[/tex]
Step-by-step explanation:
x³-4x²+6x-24 is our equation
Once we factor it we get
[tex](x-4)(x^2+6)[/tex]
Help plz I don’t understand how to do this math below
Gretchen bought her 3 daughters a 27-page sticker book. She split the pages equally among the girls. If each page had 24 stickers, how many sticker did each girl get?
Answer: the daughters got 216 stickers each
Step-by-step explanation:
27 times 24 is 648
648 devided by 3 is 216
so therefore your answer would be 216
hope this helps
Determine whether each sequence is an arithmetic sequence.
a. 3, 6, 12, 24 … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
b. 1.5, 4.5, 7.5, 10.5, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
c. 8, 10, 12, 14, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
d. 9, 5, 1, –3 … [ A. Arithmetic Sequence, B. Not an Arithmetic Sequence ]
e. –2, 8, –18, 28, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
Answer:
a) A. Arithmetic Sequence
b) A. Arithmetic Sequence
c) A. Arithmetic Sequence
d) A. Arithmetic Sequence
e) B. Not an arithmetic Sequence
Step-by-step explanation:
if there is a common difference it is arithmetic, if there not then it is not arithmetic.
a) d= 3
b)d=3
c)d=2
d)d=-4
e)not arithmetic
how do you solve this?? pls add your work as well..
Answer:
[tex](A) - \sqrt2[/tex]
Step-by-step explanation:
Let's find the velocity and acceleration first:
[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]
(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)
At this point, the first time when the velocity is 0 is given by
[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]
At this point the acceleration is (let's use the first value of t for the sake of our sanity!)
[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]
there is 26 students 15 like maths 13 like english and 9 dont like either
Answer:
yes, yes they do
Step-by-step explanation:
i dont know what you're asking
Thanksgiving Meal Challenge
Considering the final price of the meal, would you rather have a $25 gift
card to apply toward to total price or a 35% off coupon? Show your work
and explain.
If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.
Let y represent the price of the meal.
For a $25 gift card to be applied, the final price is:
Final price = y - 25
For a 35% off coupon, the final price is:
Final price = y - 0.35y = 0.65y
y - 25 < 0.65y
0.35y < 25
y < 71.42
If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.
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Solve 25- (6-) A. -31 B-20 C.20 D. 31
Answer:
The answer is 31
Explanation:
25 - (-6) = 31
we have 25 - (-6) = 25 + 6 = 31
so the answer is D
ok done. thank to me :>
What is the product of -13/8 and 24/5
Answer:
-7 4/5 or -7.8
Step-by-step explanation:
Product means multiplication
( - 13/8 )( 24/5)
= (-13 · 24)/(8 · 5) negative · positive = negative
= - 312/40
= -7 32/ 40 = -7 4/5 or 7.8
Need to know this, please help
Also no links or wrong answers
11x - 2(x + 3) = 30. (filling up space) iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
x=4
Step-by-step explanation:
11x - 2(x + 3) = 30
distribute: 11x-2x-6=30
add like terms: 9x-6=30
add 6: 9x=36
divide by 9: x=4
Answer:
x = 4
Step-by-step explanation:
11x - 2(x +3) = 30
11x -2x - 6 = 30
11x - 2x = 30 + 6
9x = 36
9x/9 = 36/9
x = 4
whats the answer can someone answer please
Answer:
b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
3 is being distributed into x and 3 inside the parenthesis. So it is distributive property.
4. When you _________ the problem, it makes it easier to understand how you solved it.
Answer:
When you explain the problem, it makes it easier to understand how you solved it.
I hope this helped at all.
Jane & Jim spent the same amount of money today. If Jim spent
$5.25 on food and rode the train 3 times, and Jane spent $12.45 on
food and rode the roller coaster twice, then how much does a
token cost?
Answer:4$
Step-by-step explanation
The cost of one token is 7.2 dollars.
What is a linear equation in one variable ?A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.
According to the given question Jane & Jim spent the same amount of money today.
Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.
Assuming cost of a token to be T.
∴ 5.25 + 3T = 12.45 + 2T.
3T - 2T = 12.45 - 5.25
T = 7.2.
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