Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1. 
units
units
units
units, then
2. 
and 
are right angles - given
3. 
two right angles are always congruent.
4. 
by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Answer:
4.4 m
Step-by-step explanation:
Draw the height of the triangle (perpendicular line from point A to line BC). Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.
Use Pythagorean theorem to find the height.
c² = a² + b²
(8.5 m)² = (14.5/2 m)² + h²
h ≈ 4.4 m
Answer:
<h2>-1</h2>
Step-by-step explanation:
1 file -> 12 sheets
Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total
So the total number of sheets: 36 / (2/3) = 54
CP - the cost of painting the house for Painting USA company [$]
cP = 75 + 25 * 25 = 75 + 625 = 700 [$]
cU - the cost of painting the house for Upscale Home Painting company [$]
cU = 0 + 40 * 25 = 1000 [$]
cP < cU
The most cost effective is Painting USA company.
n - number of houres required to paint the house if the same cost for both companies
75 + 25 * n = 40 * n
40 n - 25n = 75
15n = 75 /:15
n = 5
The cost of paining the house is the same for both companies if the number of houres required to paint the house is 5.
