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miss Akunina [59]
3 years ago
12

What is the measure of the indicated angle ?

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

The measure of the indicated angle is 72°

Step-by-step explanation:

If two parallel lines intersected by a transversal, then

  • There are pairs of corresponding angles equal in measures
  • There are pairs of alternate interior angles equal in measures
  • There are pairs of alternate exterior angles equal in measures
  • There are pairs of adjacent interior angles that are supplementary

In the given figure

∵ There are two parallel lines intersected by a transversal

∵ The angle of measure 108° and the indicated angle are adjacent

   interior angles

∴ They are supplementary

∵ The sum of the measures of supplementary angles is 180°

∴ 108 + indicated angle = 180

→ Subtract 108 from both sides

∴ The measure of the indicated angle = 72°

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Using approciate properties find -4/7*3/5+4/7*-1/5+2/5*-4/5
slega [8]

Answer: 0.548

Step-by-step explanation:

First you need to remember the formula for PEMDAS(Parenthesis,exponents,multiplication,divison,addition,subtractio)

you can do either multiplication or divison whichever comes first, same with addition+subtraction.

the underlined means to simplify

1.<u>-0.57x3</u>/5+4/7x-1/5+2/5x-4/5

2.<u>-1.71/5</u>+4/7x-1/5+2/5x-4/5

3.-0.342+<u>4/7</u>x-1/5+2/5x-4/5

4.-0.342+0.57x<u>-1/5</u>+2/5x-4/5

5.-0.342+<u>0.57x-0.2</u>+2/5x-4/5

6.-0.342+0.114+<u>2/5</u>x-4/5

7.-0.342+0.114+<u>0.4x-4</u>/5

8.-0.342+0.114+<u>-1.6/5</u>

9.<u>-0.342+0.114</u>+-0.32

10.<u>-0.228+-0.32=-0.548</u>

<u>i did this all in one go so......</u>

8 0
3 years ago
Helppp!!!!! Plz. Mathhh
Julli [10]

Answer:

  1. 3n⁶
  2. 6n⁴
  3. 3x⁶
  4. 3x/y³
  5. 1/2ab⁵
  6. 3/4a⁴b⁶
  7. 1/uv⁴
  8. 2/u⁴b³
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8 0
3 years ago
Mark is taking pledges for bike-a-thon fundraiser. John pledged $2.00, plus $1.75 for each mile Mark bikes. Kiara pledged $5.25,
Shkiper50 [21]

Answer:

The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25

Step-by-step explanation:

The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.

0.25 per mile = 0.25M

5.25 pledged = 5.25

Now put them together to get f(M) = 0.25M + 5.25

Do the same with Mark.

1.75 per mile = 1.75M

2.00 pledged = 2.00

Now put them together to get f(M) = 1.75M + 2.00

To get the final total, we add both equations together.

f(M) =  0.25M + 5.25 + 1.75M + 2.00

f(M) = 2.00M + 7.25

4 0
3 years ago
The length of a kitchen wall is 24 2/3 feet long. A border will be placed along the wall of the kitchen. If the border strips ar
krek1111 [17]

Total length of the kitchen wall = 24 2/3 feet.

Let us convert 24 2/3 feet into improper fracion.

24 2/3 = (24*3+2)/3 = 74/3 feet.

Length of each strip = 1 3/4 feet.

Let us convert 1/3/4 feet in improper fracion.

1 3/4 feet = (1*4+3)/4 = 7/4 feet.

Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)

= 74/3 feet ÷ 7/4 feet.

Let us convert division sign into multiplication, we get

74/3 × 4/7.

Multiplying across, we get

296/21.

On dividing 296 by 21, we get 14.09 approximately.

14.09 represents more than 14.

So, we can round it to the next whole number, that is 15.

Therefore, 15 strips of border are needed.

5 0
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A & D are the correct answers!
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