Answer:
The second one
Step-by-step explanation:
Answer:
Step-by-step explanation:
So since triangle jkl and wyz are similar angles j and w must equal each other, angles k and y must equal each other, and angles l and z are equal. So to find x just set 4x-13 equal to 71
4x-13=71
add 13 to both sides to cancel the -13 from the left
4x=84
and divide both sides by 4 to cancel the 4 on the left
x=21
Answer:
Option (2)
Step-by-step explanation:
Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.
From the figure attached,
m∠C = ![\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Bmajor%20arc%20AB%7D%29-m%28%5Ctext%7Bminor%20arc%20AB%29%7D%5D)
= ![\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%28360-m%5Cwidehat%7BAB%7D%29-m%28%5Cwidehat%7BAB%7D%29%5D)
= ![\frac{1}{2}[360-2m(\widehat{AB})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B360-2m%28%5Cwidehat%7BAB%7D%29%5D)
= 
= 180 - 150
= 30°
Therefore, measure of angle C will be 30°.
Option (2) is the answer.
Answer:
The area of the cube is 486 inches^2
Step-by-step explanation:
In this question, we are tasked with calculating the area of cube with side 9 inch.
Mathematically, the area can be calculated using the formula A = 6s^2
Now, what we need to do is to substitute 9 inches for s
Thus, A = 6 * 9^2
A = 6 * 81
A = 486 inches^2