Answer:
Option C.
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem triangles HEF and EGE are similar
because

substitute the values

Is true
The sides are proportional
and
∠HFE=∠GFE
∠EHF=∠GEF
∠HEF=∠EGF
The angles are congruent
The scale factor is equal to


Answer: 6in, 8in, 10in
6 squared + 8 squared equals to the radical of 100, which equals to 10 because 10 squared is.. 100
I think you left out the first part of the question
Answer:
(4, -23)
Step-by-step explanation:
We are given;
We are needed to determine the point that lies on the equation;
- We need to know that for a point to be lying on the equation it must satisfy the equation.
- This means when we use the value of x in the equation we should get the exact value of y of the given point;
Point (4, -23)
Replacing x = 4 in the equation;
y = -5(4) - 3
= -23
Therefore, the point lies on the equation as the point satisfies the equation
Thus, the required point is (4, -23)
So we want to know how to write the inequality for Beth's jogging. The total number of miles Beth plans to jog cant go over 12, and she has already jogged for 3 miles, then she needs to jog for another m miles. This can be written mathematically like: 3 + m < 12. In other words: 3 miles + m miles Beth still plans to jog cant go over 12 miles.