Since triangle ABC is isosceles, then angles 1 and 9 are congruent.
4x + 3 = 9x - 47
-5x = -50
x = 10
m<1 = 4x + 3 = 40 + 3 = 43
m<1 = m<9 = 43
Triangle DBE is equilateral, so it is also equiangular.
m< 4 = m<5 = m<6 =60
Angles 3 and 8 are supplementary to congruent angles that measure 60 deg, so 180 - 60 = 120, so
m<3 = m<8 = 120
For angles 2 and 7, use the sum of the measures of the angles of a triangle is 180 deg.
m<1 + m<2 + m<3 = 180
43 + m<2 + 120 = 180
m<2 + 163 = 180
m<2 = 17
m<2 = m<7 = 17
Step-by-step explanation:
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Answer:

Step-by-step explanation:
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Answer:
6
Step-by-step explanation:
391/23=17 per hour
102/17=6 Hours
So he would have to work 6 hours to earn $102.00.
Answer:
Step-by-step explanation:
To find the length of the diagonal, use Pythagorean theorem.
(diagonal)² = (length)² +(width)²
= 12² + 5²
= 144+ 25
= 169
diagonal = √ 169 = 13 units
Sum of lengths of two diagonals = 13 + 13 = 26 units
In rectangle, diagonals are of equal length.