Decreased amount = 80 * 0.65 = 52
So, new amount = 80 - 52 = 28
In short, Your Answer would be 28
Hope this helps!
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
Answer:
<4= 164
Step-by-step explanation:
the sum of any 2 angles of a triangle is equal to the exterior linear angle of the triangle
<1+<2=<4
8x+9+5x+12=14x+10
13x+21=14x+10
21=x+10
11=x
<4=14x+10
<4=14(11)+10
<4=154+10
<4= 164
Answer:
-80
Step-by-step explanation:
Answer:
131.88 centimeters
Step-by-step explanation:
diameter = radius*2
radius = 21
circumference =2*π*r
2*3.14*21= 131.88 centimeters
