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lord [1]
3 years ago
5

If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

67

Step-by-step explanation:

4x+3+15x-8=90(complementary angle)

x=5

now D = 15*5-8

d=67

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If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Soloha48 [4]

Answer:

x=9, AB=BC=AC=35

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

2x+17=6x-19\\2x+17-17=6x-19-17 (Subtract 17 from both sides of the equation to isolate constants)

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2x-6x=6x-36-6x (Subtract 6x from both sides of the equation to isolate x)

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Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

3 0
2 years ago
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