D) these two figures are similar they don't look similar at first because the X'Z'Y' is more upwards. But they are congruent meaning they are similar or exactly the same almost. This basically tells me that I need to use translation.
E) I can use reflection to get XYZ into X'Y'Z' by reflecting it across the x-axis. I could also use translation and move it up 6 and then move it to the right.
C) The last one I could use is rotation and move it around around 45* or something close to the the other one.
Given two points: (x₁,y₁) and (x₂,y₂) the slope "m" will be:
m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)
In this case:
(4.5 , 13.5)
(-3.5 , -9)
m=(-9-13.5) / (-3.5-4.5)=-22.5 / -8=2.8125
Answer: the slope will be m=2.8125.
Answer:
Her current age is 8 years old.
Step-by-step explanation:
Current age: x
"In 10 years, a child’s age will be 6 years less than triple her current age."
In 10 years: <u>x + 10</u>
6 years less than triple: <em>3x - 6</em>
<u>x + 10</u> = <em>3x - 6</em>
<em>solve.</em>
<em>16 = 2x</em>
<em>x = 8</em>
