All categories

3 years ago

AB←→||CD←→. Find the measure of ∠BFG.

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

You might be interested in

Explain how to compare two lengths that are measured in different sized units

nalin [4]

There are conversion tables everywhere that assist you in changing a different unit into another. Depending on what it is, you can also compare weight into water, cm into m and backwards.

8 0

3 years ago

Select all of the potential solution(s) of the equation 2log5x = log54.

Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

$\longrightarrow 2log_5(x) = log_5 4$

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

$\longrightarrow alog\ m = log \ m^a$

Applying this to LHS , we have ;

$\longrightarrow log_5 x^2 = log_5 4$

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

$\longrightarrow x^2 = 4$

Put square root on both sides,

$\longrightarrow x =\sqrt{4}$

Simplify ,

$\longrightarrow \underline{\underline{ x =\pm 2 }}$

This is the required answer.

6 0

2 years ago

The price has changed from 125$ to 75$. By how much percent did it change

Firlakuza [10]

Answer:

-40 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((75 - 125) / 125) * 100 = -40 %

The percentage change from 125 to 75 is -40 %

6 0

3 years ago

Read 2 more answers

Find the measure of VU<br> Can someone help me??<br><br> I need to show the work

borishaifa [10]

Answer:

Step-by-step explanation:

lets solve the problem 7x+2=3x+10

subtract 3x from 7x

4x+2=10

subtract 2 from 10

4x=8

divide both sides by 4

x=2

to find VU plug in 2 for x so...

3(2)+10

6+10

I hope this helped you :)

7 0

2 years ago

Read 2 more answers

Find the missing sides, and give the simplified form of the square root

Brilliant_brown [7]

Answer:

in the pics

Step-by-step explanation:

In case you are wondering, I used the pythagorean theorem. If you want to learn how to use it I suggest you google it, there are plenty of sites that explain how to use it.

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

7 0

3 years ago