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Answer:
C. x = 6.
Step-by-step explanation:
Given:
4(8 - x) = 8
Solve for x. Distribute:
32 - 4x = 8
Subtract 32 from both sides:
-4x = -24
Divide both sides by -4:
-4x/(-4) = -24/(-4)
x = 6.
1x+ 3y = -12x + 2y = 6
+12x +12x
13x + 3y = 2y = 6
+3y +3y
13x = 5y = 6
13x = 5y and 5y = 6
X = measure of angle<span>complement: 90 -x
supplement: 180 - x
</span>Four times the complement increased by forty-six = 4(90-x) + 46
twice the supplement: 2(180 - x)
so
<span>Four times the complement increased by forty-six is the same as twice the supplement
</span>
4(90-x) + 46 = 2(180 - x)
360 - 4x + 46 = 360 - 2x
2x = 46
x = 23
answer
measure of angle x = 23
measure of complement = 90 - 23 = 67
measure of <span>supplement = 180 - 23 = 157</span>
First, add all of the working hours.
1
+ 2
+ 1
Since the denominators are different, make them all the same.
1
+ 2
+ 1
Add everything together.
4
+ 1
= 5
Then, simplify.
5
or 5.5
Multiply the time by the salary.
<span>5.5*10.5=
Doug earned $57.75</span>
<h3>
Answer: Choice B</h3>
angle B = 118, a = 17, c = 18
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Explanation:
Use the given angles to find angle B.
A+B+C = 180
B = 180-(A+C)
B = 180-(30+32)
B = 118
Now use the law of sines to find side 'a'
Make sure your calculator is in degree mode.
a/sin(A) = b/sin(B)
a/sin(30) = 30/sin(118)
a = sin(30)*30/sin(118)
a = 16.9885507603356
a = 17
Follow similar steps to find side c
c/sin(C) = b/sin(B)
c/sin(32) = 30/sin(118)
c = sin(32)*30/sin(118)
c = 18.005120638611
c = 18
