<em>a = 30°</em>
<em>b = 70°</em>
<em>c = 80°</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em />
<em>a ; b ; c = angles</em>
<em>a + b + c = 180°</em>
<em>b + c = 5a</em>
<em><u>replace (b + c)</u></em>
<em>a + (b + c) = 180</em>
<em>a + 5a = 180</em>
<em>6a = 180</em>
<em>a = 30°</em>
<em />
<em>b + c = 180 - a</em>
<em>b + c = 150</em>
<em>c = b + 10</em>
<em><u>replace c</u></em>
<em>b + (b + 10) = 150</em>
<em>2b = 150 - 10</em>
<em>2b = 140</em>
<em>b = 70°</em>
<em>c = b + 10</em>
<em>c = 80°</em>
<em>Good luck !</em>
Answer:
B) {14,7}
Step-by-step explanation:
If the x-axis increases by 2 and the y-axis increases by 1 then think of it as the y-axis will always be HALF of the x-axis. In this case, 7 is half of 14 (14÷2=7). :)
Answer:
77 m
Step-by-step explanation:
The geometry can be modeled by a right triangle. The distance from the viewpoint to the base of the tower is 110 m, the leg of the triangle adjacent to the angle. The height of the spire is the leg of the triangle opposite the given angle. The relevant trig relation is ...
Tan = Opposite/Adjacent
__
Using the given numbers, we find ...
tan(35°) = height/(110 m)
height = (110 m)tan(35°) = (110 m)×0.700208 ≈ 77.0 m
The height of the tower is about 77 meters.
Answer:
infinite solutions 0=0
Step-by-step explanation:
solve for x. x=4-2y
input for x from 1st equation
y=-1/2(4-2y) +2
y= -2+y+2
y-y =-2+2
0=0
