Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
One Method) Multiply 575 by .05 (5%=.05) then add the answer by 575
Answer:
w ≤ 15
Step-by-step explanation:
A rectangle is shape with 4 sides where 2 pairs of sides are equal and form 4 perpendicular angles. 1 pair of sides is the width and is distance w. 1 pair of sides is the length and is 10 inches. The total distance around the shape is the perimeter. We know the perimeter is 50 inches or less. Add each side together and let it be less than or equal to 50. Then solve for w.
P ≥ l + l + w + w
50 ≥ 10 + 10 + w + w
50 ≥ 20 + 2w
30 ≥ 2w
15 ≥ w