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Mashutka [201]
3 years ago
8

(WILL GIVE BRINALIST TO BEST ANWER) WHATS the measure of < 3

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

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A bookstore marks up the price of a book by 25% of the cost from the publisher. Therefore, the
lesya692 [45]

Answer:

(A)

  • P(60) = 78.98
  • When the bookstore spends $60 on a textbook, the student pays $78.98

Step-by-step explanation:

Given:

P(x) = 1.053(x+0.25x)

P(60) = 1.053(60+0.25*60)

=1.053(60+15)

=1.053(75)

P(60)=$78.98

Since x is the cost from the publisher, when the bookstore spends $60 on a textbook, the student pays $78.98.

<u>The correct option is A.</u>

3 0
3 years ago
Given: 5n - 42 = 12n; Prove: n= -6<br> What are the Statements<br> What are the Reasons
asambeis [7]

Answer:

-72=-72

Step-by-step explanation:

5n-42=12n

n=-6

5*(-6)-42 = 12*(-6)

-30-42=-72

-72=-72

So, n= -6 is the right number for this equation

4 0
3 years ago
Consider the graphed function. 100POINTS!!!!
Sati [7]

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Step-by-step explanation:

The domain is the values that x takes

X goes from -5 included to 1 not included

-5 ≤x<1

The range is the values that y takes

y goes from -4 included to 7  not included

-4 ≤y<7

4 0
3 years ago
in a survey of 3271 adults aged 57 through 85 years, it was found that 88.7% of them used at least one prescribed medication​
mixer [17]

How many of the 3271 subjects used at least one prescription​ medication? Round to the nearest integer as​needed.)

Answer:

2902

Step-by-step explanation:

Let the total number of adults within the mentioned age bracket be n=3271

The proportion of adults who used at least one prescription medication be p=88.7%=0.887

The point estimate of population is given by

p=\frac {x}{n} where x is number of individuals in the sample with the specified characteristics and n is the sample size.

Let x be the adults who used at least one prescription medication

0.887=\frac {x}{3271}

x=3271*0.887=2901.377\approx 2902

3 0
3 years ago
Find the interest rate r when p = 800, a = 2700, and t = 3.​
Vaselesa [24]

Answer:

r = 0.5 or 1/2

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Simply plug in our known variables:

2700 = 800(1 + r)³

Now we solve for <em>r</em>:

<em>Divide both sides by 800</em>

27/8 = (1 + r)³

<em>Take the cube root on both sides</em>

∛27/8 = ∛(1 + r)³

<em>Simplify</em>

3/2 = 1 + r

<em>Subtract 1 on both sides</em>

r = 1/2

r = 0.5

3 0
3 years ago
Read 2 more answers
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