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Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
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Step-by-step explanation:
y1/x1=y2/x2
2/5÷1/3=y÷1/4
y=3/10=0.3
Answer:
The original goal is $25019.154 .
Step by step Explanation:
Let us assume that the origianl goal be x .
As given
Another project on Kickstarter for an iPad stylus raised 1,253% of their goal, raising a total of $313,490 .
1253% is written in the decimal form .
= 12.53
Than the equation becomes
12.53 × x = 313490
12.53x = 313490
x = $ 25019.154
Therefore the original goal is $25019.154 .
