Answer:y=4 x=3
Step-by-step explanation:9(-9+3y)-4y=11
-81+27y-4y=11 23y=92 y=4 x=3
Answer:
x = 87
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Label the angles left and right of the right angle as "a" and "b". Then we have ...
a + b + 90 = 180
b = 90 - a . . . . subtract (90+a)
And we have a relation with the left exterior angle:
72 + a = 138
a = 138 -72 = 66 . . . . subtract 72
__
b = 90 -66 = 24 . . . . from above
And another relation with the right exterior angle:
(180 -x) +b = 117 . . . . . . the interior angle with "b" is the supplement of x
204 -x = 117 . . . . . . . . . substitute 24 for b
204 -117 = x = 87 . . . . add x-117
The measure of the angle marked x° is 87°.
Answer:
<h2>23 percent of 250= 57.5</h2>
<h2>56 is what percent of 200= 28</h2>
<h2>36 is what percent of 60= 61.67</h2>
Answer:
B. x=1+2i or x=1-2i.
Step-by-step explanation:
The equation is given as;
x²-2x+5=0
complete the square method to find value of x as;
x²-2x = -5
x²-2x + 1 = -5 + 1
x²-2x +1 =-4
( x-1 )² = -4
x-1 = ±√-4 ---------<em>where √-1 = i</em>
x-1 =± 2i
So;
x-1 = + 2i
x= 1+2i
or
x= 1-2i
x= 1-2i
Answer:
y=29
Step-by-step explanation:
The angles are vertical angles so they are equal.
4y-8 = 79+y
Subtract y from each side
4y-y -8 = 79+y-y
3y -8 = 79
Add 8 to each side
3y-8+8 = 79+8
3y = 87
Divide each side by 3
3y/3 = 87/3
y=29