(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
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Answer:
assuming each person gets one cookie
a 1 1/4 C
b 3/8 tsp
Step-by-step explanation:
divide recipe in half
a 2.5/2=1.25
b 3/4 ÷ 2 ; rewrite to 6/8 ÷2 = .375
(6 + 5i)(4 + 7i) = 24 + 42i + 20i + 35i²
= 35i² + 62i + 24
The product of 6+5i and 4+7i is 35i² + 62i + 24.
5(2x-3)-(x+8)=13
10x-15-x-8=13
9x-23=13
9x=36
x=4
6x-2=46;6x=48;x=8
Therefore, x is equal to 8