The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
<h3>How to solve the triangle?</h3>
From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
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60 minutes for 2 times of 4.5 miles
60 minutes for 9 miles.
9 miles/60 minutes = 9 miles/1 hour
9 mph
Considering the perimeter of a square, it is found that:
- The length of one side of the garage originally was of 61.5 ft.
- The length of one side of the garage now is of 92.25 ft.
- The percent increase in the length of one side was of 50%.
<h3>What is the perimeter of a square?</h3>
The perimeter of a square of side length s is given by four times the length, that is:
P = 4s.
Before the change, the perimeter was of 246 ft, hence:
4s = 246
s = 246/4
s = 61.5.
The length of one side of the garage originally was of 61.5 ft.
After that, the perimeter increased by 50%, hence:
P = 246 x 1.5 = 369.
4s = 369
s = 369/4
s = 92.25.
The length of one side of the garage now is of 92.25 ft.
The percent increase is the increase divided by the initial value, hence:
(92.25 - 61.5)/61.5 = 50%.
The percent increase in the length of one side was of 50%.
More can be learned about the perimeter of a square at brainly.com/question/10489198
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X=amount of money woman has
n=pounds of sugar
Store #1: 8.5*n=x+30
Store #2: 8*n=x-25
multiply #2 by 17/16 to make coefficient of n same as in #1
2: 8.5*n=17/16(x-25)
Subtract #2 from #1
0=x+30-17/16(x-25)
x+30-17x/16 +25*17/16
x/16=30+25*17/16
x=480+425
=905 cents
=$9.05
Answer:
x^2 = 10^2 - 9^2
x^2 = 100 -81 = 19
x = 4.3588989435
The triangle sides are 10, 9 and 4.3588989435
Step-by-step explanation:
