Answer:
SAS theorem
Step-by-step explanation:
Given



Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:

and

So, the congruent sides and angles of △ABE and △CDE are:
---- S
---- A
or
--- S
<em>Hence, the theorem that compares both triangles is the SAS theorem</em>
Answer:
x = 34
Step-by-step explanation:
This is a straight line so the sum of angles must be 180°
4x + 20 + x - 10 = 180 add like terms
5x + 10 = 180 subtract 10 from both sides
5x = 170 divide both sides by 5
x = 34
To calculate each angle we replace x with the value we found
4x + 20 ➡ 4×34 + 20 = 156
x - 10 ➡ 34 - 10 = 24
It equals 3/16 because I first multiplied the first to fractions together and I know that negative times a positive is negative so we would get a negative and I also multiplied the 2 to get -9/40 and then multiplied -5/6 to -9/40 to get the answer of 3/16!
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(1)
To find the unit rate divide the amount by 3
$3.84 ÷ 3 = $1.28 ← unit rate
(2)
Using proportion
$45 → 4 months
$180 → 4 ×
=
= 16 months
(3)
sum the parts of the ratio, 8 + 1 = 9 parts
Divide 90 by 9 to find the value of one part
90 ÷ 9 = 10 ← value of 1 part
Thus
8 × 10 = 80
80 Senators voted for the bill