The answer is A) x = 9
We know this because every four sided figure has angles that measure up to 360. So we can subtract all of the angles and then use the remaining angle to solve the problem.
360 - 90 - 90 - 99 = 81.
So with the remaining angle being 81, we can solve for x.
x^2 = 81
x = +/-9
Since +9 is the only answer that makes sense in this case, x = 9.
5x-5=-7y
3x+2y=-8
First, you need to rearrange the first equation so it is in the same format as the second one.
5x-5=-7y
Add 5 to both sides
5x-5+5=-7y+5
Add 7y to both sides
5x+7y=-7y+7y+5
So you have 5x+7y=5
Now you need to multiply that equation by 3
3(5x+7y=5)
15x+21y=15
Multiply the second equation by -5
-5(3x+2y=-8)
-15x-10y=40
Now add them together
15x+21y=15
+(-15x-10y=40)
---------------------
11y=55
y=5
Now plug y=5 into one of the original equations and solve for x.
3x+2(5)=-8
3x+10=-8
3x=-8-10
3x=-18
x=-6
To check the solution plug them both into the other equation:
5(-6)-5=-7(5)
-30-5=-35
-35=-35
It checks.
Hope that helps.
Answer:
d = 4
Step-by-step explanation:
C = 2*pi r or C = pi * d
Area = pi *r^2= pi (d/2)^2 = pi * d^2 /4
So if they are numerically equal, you get
pi * d = pi * d^2 / 4 Divide both sides by pi
d = d^2 / 4 Multiply both sides by 4
4*d = d^2 Divide both sides by d
4 = d
Well the are six sides and numbers on the dices and two sides on the coin so there would be 8 outcomes
The measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°
<h3>Calculating the measures of angles </h3>
From the question, we are to determine the measures of the missing angles
From the diagram,
b = 112° (<em>Vertically opposite angles</em>)
∴ b = 112°
Also,
112° + c = 180° (<em>Sum of angles on a straight line</em>)
c = 180°- 122°
∴ c = 68°
Hence, the measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°
Learn more on Calculating the measures of angles here: brainly.com/question/12274210
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