Given that there is no any option to choose I am going to help you according to the concepts of
Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and

<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>

<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
35 minutes
Step-by-step explanation:
Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
Answer:
The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .
Step-by-step explanation:
As given
Sue buys 5 pieces of fabric.

i.e



In the decimal form
Total length of fabric sue buys = 8.5 yards
As given
One yard of the fabric costs $5

= $ 42.5
Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .