Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
Answer:
42.43 ft
Step-by-step explanation:
Please find attached an image of the softball pitch
h² = p² + f² -2x p×f×cos45
h² = 43² + 60² - 2x (43)(60) x 0.7071
h² = 1849 + 3600 - 3648.636
h² = 1800.364
h = √1800.364
h = 42.43 feet
<span>2x-3y=18
when x = 3
2(3) - 3y = 18
6 - 3y = 18
-3y = 12
y = -4
so(3, -4) is the solution
answer
</span><span>(3,-4)</span>
The answer is d because quotient means the outcome of a division between two numbers. So therefore it has to be a division equation, which is d.
Answer:
9x-y = 5
Step-by-step explanation:
Equation of line in slope intercept form:
y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)
y-31 = 9*(x-4)
y-31 = 9x-36
9x-y = 36-31
9x-y = 5