All categories

1 year ago

What is the value of xfind the value of f

Mathematics

2 answers:

zvonat [6]1 year ago

6 0

Answer:

x = 20 , f = 40

Step-by-step explanation:

4x and 5x are a linear pair and sum to 180° , then

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

5x = 5 × 20 = 100° and 3x = 3 × 20 = 60°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

5x is an exterior angle of the triangle , then

f + 3x = 5x , that is

f + 60 = 100 ( subtract 60 from both sides )

f = 40

Black_prince [1.1K]1 year ago

4 0

Answer:

x = 20°

f = 40°

Step-by-step explanation:

4x + 5x = 180°

because a straight line is 180°

so 9x = 180°

1x = 180 ÷ 9

1x = 20

all angles in a triangle add together is 180°

so 7x + f = 180°

1x = 20

7x = 20 × 7

7x = 140°

f = 180° - 140 °

f = 40°

You might be interested in

The first discount on a camera was 18%. The second discount was 20%. After these two discounts the price was $328. What was the

Artyom0805 [142]

Answer:

$500

Step-by-step explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

<u>Second Discount</u>

20% off means we paid 80%. We know we paid $328 of some price.

$\frac{80}{100} =\frac{328}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$80y=100(328)\\80y=32800$

I now solve for y by dividing by 80.

$\frac{80y}{80} =\frac{32800}{80} \\y= $410$

The price after the first discount was $410.

<u>First Discount</u>

We will repeat the steps above with $410. 18% off means we paid 82%.

$\frac{82}{100} =\frac{410}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$82y=100(410)\\82y=41000$

I now solve for y by dividing by 82.

$\frac{82y}{82} =\frac{41000}{82} \\y= $500$

The original price was $500.

5 0

2 years ago

Fill in the blanks to complete the table.

fomenos

Answer:

you plug in the numbers into the function

Step-by-step explanation

function 1 is blank 1 is 17

2) is 16 3) is 15 4) is 12 5) is 7 6) is 0 and so on

for function 2 blank 1 is 1

2) is 0 3) is -1 4) is -2 5) is -3 6) is -4 and so on

does that help?

4 0

2 years ago

a rectangular room is 2meters longer than it is wide, and it's perimeter is 24 meters. find the dimension of the room

asambeis [7]

$2l + 2(l+2)=24 \\2l +2l+4=24 \\4l=20 \\\boxed{l=5}$

Length of the room is 5 m and width is 5 + 2 = 7 m.

Hope this helps.

r3t40

5 0

3 years ago

Read 2 more answers

Is –54 ÷ 6 positive or negative?

Zigmanuir [339]

Answer:

Negative

Step-by-step explanation:

–54 ÷ 6 = -9

7 0

3 years ago

Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plane.

Feliz [49]

Answer:

There is no given picture or enough information to reply with a detailed answer. My apologies

Step-by-step explanation:

Perhaps a image upload failure?

7 0

3 years ago

Read 2 more answers

What is the value of xfind the value of f​

What is the value of xfind the value of f