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3 years ago

A and B are supplementary angles. If A = 7x - 18 and B = 8x + 3, find x.

Mathematics

1 answer:

Mila [183]3 years ago

3 0

Answer:

x=13

Step-by-step explanation:

Angle A and angle B are supplementary

Supplementary angles add to 180 degrees

<A + <B = 180

7x-18 + 8x+3 = 180

Combine like terms

15x -15 = 180

Add 15 to each side

15x-15 +15 = 180+15

15x = 195

Divide by 15

15x/15 =195/15

x =13

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3 years ago

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Su has 5 times as many marbles as Bertha. When Su gives Bertha 10 marbles, they have the same amount. How many marbles did they

Dafna11 [192]

Answer:

Part A)

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B)

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

Step-by-step explanation:

Let

x------> number of marbles that Su has at the beginning

y------> number of marbles that Bertha has at the beginning

we know that

$x=5y$ ----> equation A

$x-10=y+10$ ----> equation B

substitute equation A in equation B

$(5y)-10=y+10$

$4y=20$

$y=5$

Find the value of x

$x=5(5)=25$

Part A) How many marbles did they EACH have at the begining?

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B) How many did they EACH have at the end?

$x-10=y+10$

$25-10=5+10$

$15=15$

therefore

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

5 0

4 years ago

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it wo

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3 years ago

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Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.

lesantik [10]

Given:

Triangle EFG and EHG are two right triangles.

$m\angle HEG=35^\circ$