Answer:
The correct option is;
∠A ≅ ∠A ; reflective property
Step-by-step explanation:
1. ΔABC is isosceles with legs AB and AC
ΔAYX is also isosceles with legs AY and AX
2. AB ≅ AC and AY ≅ AX (Definition of isosceles triangle)
3. AB = AC and AY = AX (Definition of congruency)
4. AY · AC = AX · AC (Multiplication property of equality)
5. AY · AC = AX · AB (Substitution property of equality)
6. [tex]\dfrac{AC}{AX} = \dfrac{AB}{AY}[/tex] (Division property of equality)
7. [tex]\dfrac{AC}{AX} = \dfrac{AB}{AX}[/tex] (Division property of equality)
8. ∠A ≅ ∠A ; reflective property
9. ΔABC ~ ΔAXY SAS similarity theorem (The two triangles have the same vertex angle A hence they are similar based on the Side Angle Side theorem for uniqueness of triangles.
Answer:
∠A ≅ ∠A; reflexive property
Step-by-step explanation:
i got it right on the unit test..
p and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .
On what interval must |q| fall on?
A [7√6/24,[infinity])
B [12√3−7√2,[infinity])
C [12√3+7√2,[infinity])
D [4√6/7,[infinity])
Answer:
Option B is correct
Step-by-step explanation:
Given: [tex]\left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}[/tex]
To find: interval on which [tex]\left | q \right |[/tex] must fall
Solution:
[tex]\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)[/tex]
[tex]\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)[/tex]
Subtract (ii) from (i)
[tex]-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}[/tex]
So, [tex]\left | q \right |[/tex] must fall in interval [tex][12\sqrt{3}-7\sqrt{2},\infty)[/tex]
Therefore, option B is correct.
Factor the trinomial completely.
a^4 -2a^2 - 35
Answer:
(a^2+5)(a^2-7)
Step-by-step explanation:
a^4 -2a^2 - 35=a^4-2a^2+1-36=(a^2-1)^2-6^2=(a^2-1+6)(a^2-1-6)=(a^2+5)(a^2-7)Find the value of x. 4x+15=28
Answer:
x = 3 1/4
Step-by-step explanation:
[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]
[tex]4x+15=28[/tex]
[tex]4x+15-15=28-15[/tex]
[tex]4x=13[/tex]
[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]
[tex]\displaystyle x=3.25[/tex]
Melissa wants to cover a footrest with cotton fabric.The footrest is 15 inches by 11 inches by 13 inches.She has 1 square yard of fabric.Can she completely cover the footrest.
HELP!!!!!!!!!!!!!…………………
Answer:
A
Step-by-step explanation:
[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Which of these is LEAST likely to be a destination of future manned space exploration during your lifetime? A. Mars B. asteroids C. nearby stars D. orbiting hotels
Answer: C
Step-by-step explanation:
Nearby stars are lightyears and lightyears away. We are landing on Mars next year, the international space station already exists, and a japansese research center already mined asteroids. That textbook must be quite old
Which of the following is the solution set of the given equation?
(x - 3) - 2(x + 6) = -5
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
Which of the following characteristics best describes the given function of ƒ(x) = 3x − 6 ?
Answer:
a linear function with slope 3 and y intercept -6
Step-by-step explanation:
f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.
Next time please be sure to share the answer choices. Thanks.
Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
What is linear function?" Linear function is defined as the relation between variables with highest exponent equals to one".
According to the question,
Given
Function[tex]f(x)= 3x-6[/tex]
[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.
Therefore, it is a linear function.
Represents the straight line.
x increases y also increases.
No maximum and minimum point.
Compare it with general equation of line [tex]y = mx + c[/tex]
Slope of the line [tex]= 3[/tex]
Y- intercept [tex]= -6[/tex]
Hence, function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
Learn more about the linear function here
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Find the missing value.-7/13 = m/104
[tex]answer = - 56 \\ solution \\ \frac{ - 7}{13} = \frac{m}{104} \\ or \: 13 \times m = 104 \times ( - 7) \\ or \: 13 \: m = - 728 \\ or \: m = \frac{ - 728}{13} \\ m = - 56 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
[tex] - 56[/tex]
Step-by-step explanation:
[tex] \frac{ - 7}{13} = \frac{m}{104} [/tex]
use cross multiplication
[tex]104 \times - 7 = 13m \\ - 728 = 13m \\ \frac{ - 728}{13} = \frac{13m}{13} \\ m = - 56[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the length of LM:
K
16
L
M
Answer:
8
Step-by-step explanation:
LM = KI/2
LM = 16/2
LM = 8
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answer:
C
Step-by-step explanation:
Option c gives the actual representation of the question
Please help me answer this solve for x
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]
These are corresponding angles
hope this helps
brainliest appreciated
good luck! have a nice day!
Erin deposited $500 in a savings account earning 8% interest annually and compounded monthly to the nearest cent how much interest will she earn in 10 years
Answer:
$400
Step-by-step explanation:
$500 multiplied by 8% = $40
If you multiply $40 by 10 years that equals $400.
What is 44% of 250? Percent word problems.
Answer:
110 is 44% of 250
Step-by-step explanation:
x=0.44(250)
x=110
Answer : 110
44 percent *250 =
(44:100)*250 =
(44*250):100 =
11000:100 = 110
Now we have: 44 percent of 250 = 110
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
can someone help with all of of it ??
Answer:
y = -2x + 1
Step-by-step explanation:
First we're going to find the gradient (the number in the green box with the question mark).
We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.
Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).
Substitute the points into our formula:
gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]
gradient = [tex]\frac{-6}{3}[/tex]
gradient = -2
Next, we're going to find the y-intercept (the number in the grey box)
Now that we have the gradient, our equation looks like this:
y = -2x + c
We use the letter c to represent the y-intercept of a linear graph.
Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).
3 = -2(-1) + c
3 = 2 + c
c = 1
So our equation is y = -2x + 1
What statement about 6x^2+7x-10 is true
find the area if the figure
Answer:
Might be wrong but try 47.5ft^2
Step-by-step explanation:
(3*2)/2=3
(3*3)/2=4.5
3+4.5+(4*10)=47.5
Find the probability that the number is in set A’ giving your answer as a decimal
Answer:
0.7
Step-by-step explanation:
The probability that the number is in set A’ is the probability that a number is not in set A.
From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.
The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}
therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.
the probability that the number is in set A’ = number of elements in set A'/number of elements in the universal set
probability that the number is in set A’ = 7 / 10 = 0.7
Answer:
0.7
Step-by-step explanation:
count them up and decide by how many there are then simplify
Describe how you would simplify the given (20x5y2/5x-3y7)
Steps:
1: Pulling out like terms/factors
2: Trying to factor as a Difference of Squares
Description:
Let's simplify step-by-step.
20x⁵y²/5 x -3 y⁷
=4x⁶y²−3y⁷
Answer: =4x⁶y²−3y⁷
Please mark brainliest
Hope this helps.
Answer:
Step-by-step explanation:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents
Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of a. (a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2
⇒ -3a³ + 5a² - 3a + 7
Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".
To learn more about expression,
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Please help!
Find the product AB, if possible. Explain if it's not possible.
Answer:
C
Step-by-step explanation:
To multiply matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.
Matrix A has 2 columns.
Matrix B has 2 rows.
So the matrices can be multiplied.
Matrix A has 2 rows. Matrix B has 1 column. So the result will also have 2 rows and 1 column.
The first row is (5)(2) + (2)(3) = 16.
The second row is (3)(2) + (-1)(3) = 3.
I need 4 answers done, I need you to tell me how to do it, and show your work for the answers!
Answer:
13) [tex]x=-3,y=4[/tex]
14) [tex]x=7, y=12[/tex]
15) [tex]x=-1,y=3[/tex]
16)[tex]x=-3,y=4[/tex]
Step-by-step explanation:
13)
[tex]y=9x+31\\6x+4y=-2[/tex]
Sub in equation 1 into equation 2.
[tex]6x+4(9x+31)=-2[/tex]
Expand the bracket.
[tex]6x+36x+124=-2[/tex]
Rearrange.
[tex]42x=-126\\x=-3[/tex]
Solve for y.
[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]
14) (Following exactly the same steps)
[tex]y=-2x+26\\-5x+2y=-11[/tex]
[tex]-5x+2(-2x+26)=-11\\-5x-4x+52=-11\\-9x=-63\\x=7[/tex]
[tex]-5(7)+2y=-11\\2y=24\\y=12[/tex]
15) (Following exactly the same steps again.)
[tex]y=2x+5\\8x+3y=1[/tex]
[tex]8x+3(2x+5)=1\\8x+6x+15=1\\14x=-14\\x=-1\\[/tex]
[tex]8(-1)+3y=1\\-8+3y=1\\3y=9\\y=3[/tex]
16) (Still no variation on how the questions are asked, exact same method)
[tex]3x+2y=-2\\y=9x+31[/tex]
[tex]3x+2(9x+31)=-1\\3x+18x+62=-1\\21x=-63\\x=-3[/tex]
[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]
I will mark you the Brainliest person who gets this right
Answer:
B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2
Step-by-step explanation:
The blue are positive and the red are negative
The top line is x^2 +4x -2
The second line is x^2 -2x +4
Adding together
x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2
What is the measure of < A, In degrees?
Answer:
D.120
Step-by-step explanation:
The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120
Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?
Answer:
3/35
Step-by-step explanation:
Here, we want to know the constant of proportionality in this direct variation scenario
Since it is a direct variation, the form we are having would be;
x = ky
where x and y directly vary with each other and k is the constant of proportionality
Now, for the first relation
3 = 35k
for the second
9 = 105k
Thus k would be
3/35 which is the same as 9/105
Kindly note that 9/105 can be reduced to 3/35
So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35
The answer is A.) y =35/3x
HELP a repeating decimal + A fraction...
Answer:
rational
Step-by-step explanation:
Answer:
it's Rational.......
in right triangle ABC, angle C is a right angle and sin A= sin B. What is measure of angle A
Answer: 45 degrees
Step-by-step explanation:
Plato
Anyone know this ?? :( need help
Answer:
It is the value of the coin when it was originally purchased. t=0 y=3
Step-by-step explanation:
The y intercept is the value when t=0
It is the value of the coin when it was originally purchased. y=3
Find the x-intercept and y-intercept from the following linear equation: 9x - 3y = -81
Answer:
The x-intercept is (-9,0). The y-intercept is (0,27).
Step-by-step explanation:
9x - 3y = -81
-9x -9x Subtract 9x from both sides
-3y = -9x - 81 Divide both sides by -3
y = 3x + 27
I graphed the equation below.
Step-by-step explanation:
9x-0=-81
divide all through with 9x to get
x=-2
0-3y=-81
divide all through with 3y to get
y=27