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vfiekz [6]
4 years ago
14

Find the value of each variable.

Mathematics
1 answer:
katrin2010 [14]4 years ago
8 0

Answer:

Step-by-step explanation:

Step1- Well first we have to find x and this is by using the following equation:

(8x+2)+(9x+3)+90=180 (because the sum of angles in a triangle is 180 degrees)

Expand the brackets and open them:

8x+2+9x+3+90=180

Arrange and then solve:

8x+9x+90+3+2=180

17x+95=180

17x=180-95

17x=85

x=85/17

x=5

Step2- Substitute the value of x in both equations:

8x+2=8(5)+2=40+2=42

Therefore, the first variable is 42degrees

9x+3=9(5)+3=45+3=48

Therefore, the second variable is 48 degrees

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9) It helps to draw a picture.  Since one angle is 60°, the other angle is 120°.  When you draw the ddiagonal lines, you will see that you end up with a 30°-60°-90° triangle where √3 is the hypotenuse. The longest diagonal will be across from the 60° angle, which will be length a√3. The length of the hypotenuse is 2a. (Remember: a, a√3, 2a are lengths for this special triangle)
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10) Volume of a square pyramid = (1/3) B · h, where B is the area of the base
200 = (1/3)B(12)
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Now, to find the lateral edge, use Pythagorean Theorem (a² + b² = c²).
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     √194         = c

Lateral edge is √194.




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3 years ago
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