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Lemur [1.5K]
4 years ago
14

Please help me with this and show your work...

Mathematics
1 answer:
inysia [295]4 years ago
6 0

9514 1404 393

Answer:

  25) 90°

  26) 85°

  27) 60°

  28) 80°

Step-by-step explanation:

In problems 25, 26, 28, the marked angles are adjacent interior angles, so have a sum of 180°. In problem 27, the marked angles are corresponding angles, so are congruent.

25) The two angles are equal, so each is 180°/2 = 90°.

__

26) (20x +5) +(24x -1) = 180

  44x = 176 . . . subtract 4, simplify

  x = 4 . . . . . . . divide by 44

  20(4) +5 = 85

The bold angle is 85°.

__

27) 6x = 5x +10

  x = 10

  6x = 60

The bold angle is 60°.

__

28) (x+109) +(x+89) = 180

  2x + 198 = 180 . . . . simplify

  2x = -18 . . . . . . . . . . subtract 198

  x = -9

  x+89 = -9 +89 = 80

The bold angle is 80°.

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4 years ago
each of the letters of the word ALABAMA is written on a piece of paper and then put into a bag. A piece of paper is drawn at ran
Yanka [14]

Answer:

P(A) = 0.57 (to the nearest hundredth)

Step-by-step explanation:

There are 7 letters in total

4 of them are the letter A

⇒ P(A) = 4/7

           = 0.5714285714...

           = 0.57 (to the nearest hundredth)

5 0
3 years ago
How do you convert 8x + 16y = 5 into slope intercept form?
zepelin [54]

Answer:

y=5/16 - x/2

make y the subject of the formula and simplify afterwards

6 0
3 years ago
Read 2 more answers
Solve the equation 2/3-4x+7/2=-9x+5/6
Troyanec [42]

Answer:

<u>For the equation x = - 2/3</u>

Step-by-step explanation:

Solve the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

<u>41 = 41</u>

<u>It means the value of x is correct</u>

4 0
3 years ago
A store announced on Monday a discount of a good at 10 percent.
jenyasd209 [6]

Answer:

The answers are :

1. 5%.

2. 467.50 DKK.

Step-by-step explanation:

Given:

Discount on Monday of a good at 10 percent.

Increase discount on Friday would be 15 percent.

1. Difference between the percentage = 15-10=5%.

So, the percentage increase in discount is 5%.

2. First, the actual price means the price without discount should be calculated.

So,let the actual price be x:

According to question,

90%ofx=495 DKK

=\frac{90x}{100}=495

Multiplying both sides by 100

\frac{90x}{100}\times100=495\times100

=90x=495

Dividing both sides by 90

\frac{90x}{90} =\frac{49500}{90}

=550.

And, now the price after the announcement of the 15% discount

100-15=85% of 550

=85% of 550

=\frac{85}{100}\times550

=\frac{46750}{100}

=467.50.

So, the price after the announcement of the 15 percent discount is 467.50 DKK.

Therefore, the answers are :

1. 5%.

2. 467.50 DKK.

 

8 0
3 years ago
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