Answer:
∠A = 107
∠B = 73
Step-by-step explanation:
∠A , ∠B are supplementary. So, ∠A + ∠B = 180
5x + 27 + 5x - 7 = 180
5x + 5x + 27 - 7 = 180 {Combine like terms}
10x + 20=180
10x = 180 -20
10x = 160
x = 160/10
x = 16
∠A = 5x + 27 = 5*16 + 27 = 80 + 27 = 107
∠B = 5x - 7 = 5*16 - 7 = 80 - 7 = 73
Answer:
y=5/3x-2
Step-by-step explanation:
the equation for a line is y=mx+b, m is the slope the slope of this line is 5/3. B represents the y intercept, in this equation it is -2.
Answer:
The distance across the lake is 3.5 km
Step-by-step explanation:
Hypotenuse is divided in equal parts. Thus both sides are divided in the same proportion.
Remember that
If the given coordinates of the vertices and foci have the form (0,10) and (0,14)
then
the transverse axis is the y-axis
so
the equation is of the form
(y-k)^2/a^2-(x-h)^2/b^2=1
In this problem
center (h,k) is equal to (0,4)
(0,a-k)) is equal to (0,10)
a=10-4=6
(0,c-k) is equal to (0,14)
c=14-4=10
Find out the value of b
b^2=c^2-a^2
b^2=10^2-6^2
b^2=64
therefore
the equation is equal to
<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>