Answer:
m∠1 = 112°
Consider x and 68° only. They are considered supplementary angles (angles that add up to 180°)
So,
m∠1 + 68 = 180
m∠1 = 180 - 68
m∠1 = 112°
m∠3 = 68°
Do the same thing as m∠1. Consider the two angles that would add up to 180, m∠1 and m∠3.
Since we know m∠1, we can easily solve m∠3.
So,
m∠3 + m∠1 = 180
m∠3 + 112 = 180
m∠3 = 180 - 112
m∠3 = 68
By now, you have noticed, why is the same as the other angle next to m∠1? This is because they are vertical angles. This is called vertical angle congruence theory.
m∠4 = 22
This is almost the same as solving for m∠3 and m∠1. The only difference is we conclude two angles that are <em>complement to each other (angles that add up to </em><em>90</em><em>°)</em>
So,
m∠3 + m∠4 = 90
68° + m∠4 = 90
m∠4 = 90 - 68
m∠4 = 22
m∠5 = 90° (correct)
C.
Find the value of "x"
Just like we solved for the questions above, we arrange them to add up to <em>180°.</em>
So,
(2x + 11) + (6x - 7) = <em>180</em>
2x + 11 + 6x - 7 = 180
2x + 6x + 11 - 7 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176 ÷ 8
x = 22°
Check:
2x + 11 + 6x - 7 = 180
2(22) + 11 + 6(22) - 7 = 180
44 + 11 + 132 - 7 = 180
55 + 125 = 180
180 = 180 (correct)
<em>Good luck sleeping </em>
9514 1404 393
Answer:
2.20×10^10 km³
Step-by-step explanation:
The formulas for area (A) and volume (V) of a sphere are ...
A = 4πr²
V = 4/3πr³ = (r/3)A
The radius can be found from the area as ...
r = √(A/(4π)) = (1/2)√(A/π)
Then the volume in terms of the area is ...
V = (1/3)(1/2)√(A/π) · A = A^(3/2)/(6√π)
Filling in the given value of area, we find the volume to be ...
V = (3.7959×10^7)^(3/2)/(6√π) ≈ 2.1991×10^10 . . . . km³
Rounded to 3 significant figures, the volume of the moon is about ...
V ≈ 2.20×10^10 km³
top middle, square, and right triangle. to find perimeter you simply add all of the side lengths :)
Answer:
Hunting
Step-by-step explanation:
Answer:
This number would be straight out <em> zero </em>.
Step-by-step explanation:
First it said the quotient of fifty and five MORE than a number is 10, so we first need to focus on the line five MORE than a number is 10, so we know this number is less than the value used in the equation then we focus on the quotient of fifty and, So we know this unknown number lets just say the variable for it is n, then we know that fifty/ n+5=10. So Lets use the associative property to turn this into and some algebra to fifty/10 = n+5, so 50/10 equals to 5, so we know that, 5= n+5, so that would be... n = 0. Hope this helps you answer your question! :)