Step 1. <span>Simplify
33.15
Done! :) Your answer is 33.15</span>
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°
7.8 = 0.65x
x = 100/65 * 78/10
x = 10/5 * 6
x = 12
<h3>
Answer:</h3>
One of ...
<h3>
Step-by-step explanation:</h3>
It depends on where you are.
In the US, standard form is the way you have written the number. Your number would be 6,301.005.
The attachment gives some guidance for number formats in American publications. In certain publications, thin spaces are used instead of commas to separate groups of digits. The comma (or space) is often optional, but can enhance readability for large numbers.
In Britain, standard form is the form called "scientific notation" in the US. Your number would be 6.301005×10³.