The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
We know that the angle ∠DFE is 90°.
Then the sum of the angle ∠CFD and ∠DFE will be
∠CFD + ∠DFE = 27° + 90°
∠CFD + ∠DFE = 117°
Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have
∠CFD = ∠DFE
Put the values
21x - 9 = 117
21x = 126
x = 6
More about the angled link is given below.
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Convert 20% into a decimal like this >> 20/100 =0.2 now 0.2 x 60.00 =12 the answer hope it works.
Number of dimes: x
Number of quarters: x + 3
Answer:
B ) 0.10 x + 0.25 ( x + 3 ) = $1.80
Also we can solve this equation:
0.10 x + 0.25 x + 0.75 = 1.80
0.35 x = 1.80 - 0.75
0.35 x = 1.05
x = 1.05 : 0.35
x = 3, x + 3 = 6
He has 6 quarters and 3 dimes.
( 6 * 0.25 + 3 * 0.10 = 1.50 + 0.30 = $1.80 - correct)
1.) X=-2
2.) 2x-y+4=0
Hope this helps! :))