Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
Answer:

Step-by-step explanation:
<u>refer</u><u> the</u><u> attachment</u>
let the height be h
since we are given the adjacent side and want to figure out opposite side we'll use tan function
so our equation is

cross multiplication:

by using calculator we acquire:

hence,
about <u>5</u><u>3</u><u>.</u><u>6</u><u>f</u><u>t</u> high in the tree ate monkeys
Part (a)
The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.
A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.
====================================================
Part (b)
While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).
So we multiply each side length in the diagram by 3
- DE = 3*JK = 3*4.5 = 13.5
- EF = 3*KL = 3*3 = 9
- FG = 3*LM = 3*2 = 6
- GD = 3*MJ = 3*2.5 = 7.5
Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG
Answer:
area is 78.54 and circumference is 31.42
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
(r^-7)^6 = r^-42 = 1/r^42