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Mathematics

1 answer:

e-lub [12.9K]3 years ago

3 0

Answer:X= 10.1

Angle answer is correct

Step-by-step explanation: 7X+1+108.3=180

7X+109.3=180

-109.3

7X= 70.7

Divide by 7

X = 10.1

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How do you do this problem? Please explain.

horrorfan [7]

Answer: 8.632

<u>Step-by-step explanation:</u>

First, you need to find the length of AE. Since ΔAEC is a right triangle, we can use:

$sin\ C=\dfrac{AE}{AC}\\\\\\sin\ 50 = \dfrac{AE}{5}\\\\\\5\ sin\ 50=AE\\\\3.83=AE$

Next, Use Heron's formula to find the Area of ΔADE.

AE = 3.83
ED = 6
AD = 9

Heron's formula is:

$A=\sqrt{s(s-a)(s-b)(s-c)}\quad \text{where}\ s = \dfrac{a+b+c}{2}\\\\s=\dfrac{AE+ED+AD}{2}=\dfrac{3.83+6+9}{2}=\dfrac{18.83}{2}=9.415\\\\A=\sqrt{9.415(9.415-3.83)(9.415-6)(9.415-9)}\\\\.\quad=\sqrt{9.415(5.585)(3.415)(0.415)}\\\\.\quad=\sqrt{74.519}\\\\.\quad=8.632$