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CaHeK987 [17]
3 years ago
13

In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

∠ EBF = 98°

Step-by-step explanation:

(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then

3x - 15 = 2x + 10 ( subtract 2x from both sides )

x - 15 = 10 ( add 15 to both sides )

x = 25

3x - 15 = 3(25) - 15 = 75 - 15 = 60°

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

∠ EBF is an exterior angle of the triangle , then

∠ EBF = 60° + 38° = 98°

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The line CD passes through the points C (2, -1) and D (1, 1). Which of the
inn [45]

Answer:

<em>The equation of the straight line in point - slope form</em>

<em>y +1 = -2 ( x-2)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are C( 2,-1) and D(1,1)

Slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2

   m = -2

<u>Step(ii):-</u>

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

<u><em>Final answer:-</em></u>

<em>The equation of the straight line</em>

<em>y +1 = -2 ( x-2)</em>

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3 years ago
Look at the picture you will know<br><br> Please helpppp need it by May 23 2022
Annette [7]
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3 0
3 years ago
The pro shop at the Live Oak Country Club ordered two brands of golf balls. Par One balls cost $2.00 each and the Pro Sport ball
mario62 [17]

Answer:

If an equal number of each brand was ordered, how many dozens of each brand were ordered?

  • 50 dozens of each brand

Step-by-step explanation:

in order to determine the number of balls purchased, we must first determine the difference in price between them = $2 - $0.90 = $1.10

since the total difference in price was $660 and an equal number of balls were purchased, then the number of balls purchased = $660 / $1.10 = 600 balls

to determine the number of dozens purchased of each brand we just divide 600 by 12 = 50 dozens

8 0
3 years ago
Evaluate 5 + 2(x + 7)2 for x = -4.<br> O A. 23<br> O B. 13<br> O C. 18<br> O D. 63
dusya [7]

Hey there! :)

Answer:

A. 23.

Step-by-step explanation:

Given:

5 + 2(x + 7)² for x = -4

Substitute in -4 for x in the equation:

5 + 2((-4) + 7)²

5 + 2(3)²

5 + 2(9)

5 + 18 = 23.

Therefore, the correct answer is A. 23.

7 0
3 years ago
Read 2 more answers
If you practice a musical instrument each day for of an hour how many hours of practice would you get in each week?
Tanzania [10]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 7 hours

1 week = 7 days

Each day = 1 hr

1 x 7 = 7

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

6 0
3 years ago
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