Answer:
Step-by-step explanation:
y - 72 = 8(y - 3)
Distribute the 8 into (y - 3).
y - 72 = 8y - 24
Subtract 8y from both sides.
-7y - 72 = -24
Add 72 to both sides.
-7y = 48
Divide both sides by -7.
y = -48/7 or approxametly -6.9.
Proof:
y - 72 = 8(y - 3)
Substitute variable.
-48/7 - 72 = 8(-48/7 - 3)
Subtract.
-552/7 = 8(-69/7)
Multiply 8 by the inside term -69/7.
-552/7 = -552/7.
I'm taking radius to be half of the side length.Then one side is 26 cm and the area of a square is the length of a side squared.A=26^2=676So,C) 676
Answer:
13.27 cm
Step-by-step explanation:
The hypotenuse is always the longest side so:
a^2 + 20^2 = 24^2
a^2 + 400 = 576
a^2 = 176
a = 13.27
Answer:
- A. X=-12
- B. X=102
- C. X=44
- D. X=15
Step-by-step explanation:
Isolate the term of x from one side of the equation.
<h3><u>Part A. x-9=-21</u></h3>
<u>First, add by 9 from both sides.</u>
x-9+9=-21+9
<u>Solve.</u>
-21+9=-12
<u>X=-12</u>
<h3><u>Part B. 10+x=112</u></h3>
<u>Switch sides.</u>
x+10=112
<u>Subtract by 10 from both sides.</u>
x+10-10=112-10
<u>Solve.</u>
112-10=102
<u>X=102</u>
<h3><u>Part C. 14=x-30</u></h3>
<u>Switch sides.</u>
x-30=14
<u>Add by 30 from both sides.</u>
x-30+30=14+30
<u>Solve.</u>
<u>x=44</u>
<h3><u>Part D. 12-x=3</u></h3>
<u>Switch sides.</u>
x-12=3
<u>Add by 12 from both sides.</u>
x-12+12=3+12
<u>Solve.</u>
<u />
<u>Add the numbers from left to right.</u>
3+12=15
<u>x=15</u>
- <u>Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.