<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .
The dilated triangle will be similar to the original triangle, which means all angles will be the same.
</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)
You can see that this is the case for all corresponding sides' slopes. </span>
Answer
Write an expression for the number of pencils Maggie gives to jamil.
To prove
Let us assume that the number of pencils Katie have = x
As given
Katie gives Maggie half of her pencils.

As given
Maggie keeps 5 and gives the rest to jamil.
Thus

Therefore the expression for the number of pencils Maggie gives to jamil are
.
9514 1404 393
Answer:
no feasible solutions
Step-by-step explanation:
There are so many inequalities that determining the area covered by all 5 of them is problematic. Hence, we have reversed all of them in the attached graph, so any feasible solution region would remain white. Alas, there is no such region.
This system of inequalities has <em>no feasible solution</em>.
Answer:
y - 5 = 2(x + 2)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 2
Point (-2, 5)
<u>Step 2: Create equation</u>
y - 5 = 2(x + 2)
The answer is -(5x+16/x^2-22)