Answer:
25.5 degrees
Step-by-step explanation:
Let the first angle be x degrees, and second angle be y degrees.
<u>Condition # 1:</u>
x = 5y - 13 --------------------(1)
<u>Condition # 2:</u>
x + y = 140 -------------------(2)
Put Eq. (1) in (2)
5y - 13 + y = 140
5y + y - 13 = 140
6y - 13 = 140
Add 13 to both sides
6y = 140 + 13
6y = 153
Divide both sides by 6
y = 25.5 degrees
Now, put the value of y in Eq. (1)
x = 5(25.5) - 13
x = 127.5 - 13
x = 114.5 degrees
<u>So, the measure of smaller angle is:</u>
= 25.5 degrees
Hope this helped!
<h3>~AH1807</h3>
Answer and work down below. Let me know if you have questions
Answer:
UY = 20
WX = 15
VW = 15
Step-by-step explanation:
Given: UVWXY ~ HDEFG
From inspection of the diagram, the corresponding sides are:
UV~HD
VW~DE
WX~EF
XY~FG
UY~HG
The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.
XY = 10 and FG = 20
⇒ FG/XY= 20/10 = 2
Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2
If HG = 40
⇒ UY = 40 ÷ 2 = 20
If EF = 30
⇒ WX = 30 ÷ 2 = 15
If DE = 30
⇒ VW = 30 ÷ 2 = 15
Answer:
18.06
Step-by-step explanation:
To find the area of a square, all you have to do is multiply one side length by itself. In this case, it is 4.25 x 4.25.
Answer:
2/6, 3/9, 4/12 ...
Step-by-step explanation:
We can find equivalent fractions to 1/3 by multiplying the numerator, or top number, and the denominator, or bottom number, by the same factor.