All categories

3 years ago

I need help pleaseeee!!

Mathematics

1 answer:

fenix001 [56]3 years ago

8 0

a) Since ∠FGI is bisected, that means ∠FGH and ∠HGI are congruent.

Therefore, 5x - 3 = 6x - 8

x to one side: 6x - 5x = -3 + 8

Subtract: x = 5

Plug in: m∠FGH = 5(5) - 3

Simplify: 25 - 3 = 22

m∠FGH = 22°

b) Since ∠FGH is congruent to ∠HGI, m∠FGH = m∠HGI.

Through substitution, m∠HGI = 22°

c) ∠FGI is ∠FGH and ∠HGI combined, so m∠FGI = m∠FGH + m∠HGI

Substitute: m∠FGI = 22° + 22°

Add: m∠FGI = 44°

You might be interested in

There are total 360 degrees around a point True False

Tom [10]

The answer is true, i hope

4 0

3 years ago

Read 2 more answers

On a number line, what is the difference between -61.5 and -23.4?

Mamont248 [21]

Answer:

-38.1

Step-by-step explanation:

-61.5 - -23.4

3 0

3 years ago

Read 2 more answers

Point A is at (-1, -9) and point M is at (0.5, -2.5).

rjkz [21]

I think the coordinates are (2, 4)

7 0

3 years ago

Simplify the expression: 1.9b + 8.2(8.8 + 1.2b)

leva [86]

Answer:

11.74b + 72.16

Step-by-step explanation:

In this question, we're going to simplify the expression.

Solve:

1.9b + 8.2(8.8 + 1.2b)

Use the distributive property.

1.9b + 72.16 + 9.84b

Combine like terms.

11.74b + 72.16

Since we can't simplify any further, 11.74b + 72.16 would be your answer.

7 0

4 years ago

Use a trigonometric ratio to find the distance EF.

leonid [27]

Answer:

The height of the building is approximately 73 m.

Step-by-step explanation:

The triangle EFG is shown below.

Given:

Length of shadow of building is, $FG=34\ m$

Angle of inclination of Sun with the vertical is 25°.

Therefore, the angle of inclination of Sun with the horizontal is given as:

$\angle G=90-25=65\°$

Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,

$\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m$

Therefore, the height of the building is approximately 73 m.

4 0

3 years ago