First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)
x = 22/sin(67°) = 23.9
Use pythagorean theorem to find the last side.
a^2 + 22^2 = 23.9^2
a^2 + 484 = 571.21. Subtract each side by 484
a^2= 87.21. Take the square root of each side.
a = 9.3
x = 23.9 and the other side is 9.3
X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
Answer:
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36x
/y
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Step-by-step explanation:
Hope this helps
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I think the answer is 15, because 5 divided by 2 is 2.5. 2.5 times 6 is 15
Answer:
103°
Step-by-step explanation:
The marked angles have the same measure, so ...
14x+7 = 12x +17
2x = 10 . . . . . subtract 12x+7
x = 5 . . . . . . . divide by 2
(14x +7)° = 77°
∠CEA is supplementary to the marked angles:
∠CEA = 180° -77°
∠CEA = 103°
