Part a.
An angle bisector divides the angle into two congruent angles.
m<FGH = m<HGI
2x - 4 = 3x - 22
Subtract 2x from both sides. Add 22 to both sides.
18 = x
x = 18
Now that we know x = 18,
m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32
m<FGH = 32
Part b.
m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32
m<HGI = 32
Part c.
m<FGI = m<FGH + m<HGI = 32 + 32 = 64
m<FGI = 64
Given:
Composite figure
To find:
The area of the composite figure.
Solution:
The composite figure splitted into three shapes.
One is rectangle and the other two shapes are triangle.
Area of a rectangle = length × width
= 10 × 16
Area of a rectangle = 160 cm²
Area of one triangle =
Area of one triangle = 48 cm²
Area of another triangle =
Area of another triangle = 48 cm²
Area of composite figure = 160 cm² + 48 cm² + 48 cm²
= 256 cm²
The area of the composite figure is 256 cm².
Answer:
After those four plays, the Raptors gained 37 yards from the first play.
Step-by-step explanation:
Since the Raptors football team was losing when they got control of the ball at midfield in the last minute of a game, and they lost 25 yards on the first play they ran, but then they gained 5 yards on the second play, while on the third play, the Raptors gained 27 yards, and on the fourth play, they gained 30 yards, to determine what was the position of the ball relative to its starting point after those four plays the following calculation must be performed:
0 - 25 + 5 + 27 + 30 = X
-25 + 5 + 27 + 30 = X
-20 + 27 + 30 = X
7 + 30 = X
37 = X
Therefore, after those four plays, the Raptors gained 37 yards from the first play.
1: y = 3x + 42
2: y = 3(40) + 42
y = 162
3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657
Plz give brainliest.
Answer:
1. Total interest you will pay=$3,502.44
2. Sorry!!! dk the answer for 2 :'(
Step-by-step explanation:
1. The interest accrued you will pay can be expressed as;
Interest=Principal×rate×time
where;
Principal=down payment=6% of total amount
Total amount=$141,000
Down payment=(6/100)×141,000=$8,460
Annual rate=1.035%=1.035/100=0.01035
Time=40 years
replacing;
Interest=Principal×rate×time
Interest=8,460×0.01035×40
Interest=$3,502.44
Total interest you will pay=$3,502.44