Answer:
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Step-by-step explanation:
The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.
28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25
Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.
12y + 30 = 24x + 18
We know that x = 3.25.
12y + 30 = 24(3.25) + 18
12y + 30 = 78 + 18
12y = 66
y = 66/12
y = 5.5
I don't know what the problem is asking for since you don't show.
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Answer:
The equation of line is given as 
Step-by-step explanation:
Point on the line given :
We can find the slope of the line first from the given points.
Slope
= Undefined.
The slope of the line is undefined which means that the line is parallel to y-axis.
From the points known to us we can tell that the line passes through
∴ The equation of line is given as
Answer:
(-2 ,3)
Step-by-step explanation:
Step 1: Rewrite first equation
x = 4 - 2y
-2x + y = 7
Step 2: Substitution
-2(4 - 2y) + y = 7
Step 3: Solve <em>y</em>
-8 + 4y + y = 7
-8 + 5y = 7
5y = 15
y = 3
Step 3: Plug in <em>y</em> to find <em>x</em>
x + 2(3) = 4
x + 6 = 4
x = -2
Answer: L ≈ 2.0 m
Step-by-step explanation:
Lsin40 = h
Lsin55 = h + 0.35
Lsin55 = Lsin40 + 0.35
Lsin55 - Lsin40 = 0.35
L(sin55 - sin40) = 0.35
L = 0.35 / (sin55 - sin40)
L = 1.98452 ≈ 2.0 m
