(10 + a / 2, 2 + b / 2) = (8, 1)
10 + a / 2 = 8
10 + a = 16
a = 6
2 + b / 2 = 1
2 + b = 2
b = 0
so V(6, 0)
Answer:
A and b
Step-by-step explanation:
Be has an arrow towards the end signaling it moving outward just like GH
Answer:
m∠A = 50°
m∠B = 70°
m∠C = 60°
Step-by-step explanation:
Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
In a Triangle, the sum of the interior angles of a triangle = 180°
Step 1
We solve for x
Hence:
m∠A + m∠B + m∠C= 180°
(x-10)°+ (2x-50)°+ x° = 180°
x - 10 + 2x - 50 + x = 180°
4x - 60 = 180°
4x = 180° + 60°
4x = 240°
x = 240°/4
x = 60°
Step 2
Solving for each measure
x = 60°
m∠A=(x-10)°
= 60° - 10°
= 50°
m∠B=(2x-50)°
= 2(60)° - 50°
= 120° - 50°
= 70°
m∠C=x°
= 60°
Answer:
8
Step-by-step explanation:
2log(x)=log(64)
By logarithms properties
log(x²)=log(64)
When you have log or ln in both sites, you delete them and...
x²=64
![\sqrt[]{x^{2} } =\sqrt{64} \\x=8](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7Bx%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B64%7D%20%5C%5Cx%3D8)
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
