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dybincka [34]
3 years ago
9

Find m<14 if m<13=115º.

Mathematics
1 answer:
salantis [7]3 years ago
8 0

Answer:

115

Step-by-step explanation:

Since line v and line u are parallel:

m<14 and m<13 must be alternate exterior angles and alternate exterior angles has equal measure so the answer is:

m<13 = m<14 = 115.

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An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats i
PSYCHO15rus [73]

Answer:

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

Step-by-step explanation:

The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:

40 - (3 x 2)

= 40 - 6

= 34 paddle boats.

The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.

Total Revenue = 34 x 6

                        = $204

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

4 0
3 years ago
Read 2 more answers
A survey found that women's heights are normally distributed with mean 62.8 inches and standard deviation of 2.5 inches. This su
Jet001 [13]
<span>a) 

Z*_Upper = (76 - 62.7)/2.5 = 5.32

Z*_Lower = (57 - 62.7)/2.5 = -2.28 

The requirement is to get p(-2.28 < Z < 5.32) = p(Z<5.32) - p(Z<-2.28). 

Use normal distribution table to get the answer for p and multiply with 100 to get the percentage. 

The other questions are now easy for you to answer on your own. Hope it helps.

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4 0
2 years ago
Read 2 more answers
F divided by 28 equal 24
BabaBlast [244]
You can translate to:

F ÷ 28 = 24

F/28 = 24          Cross Multiply

F = 28 * 24

F = 672

6 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction
charle [14.2K]

Answer:

y=\frac{11}{20}x+6

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

(x_{1},y_{1} ) ⇒ (0, 6)

(x_{2},y_{2} ) ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

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

Substitute (x_{1},y_{1} ) = (0, 6) and (x_{2},y_{2} ) = (20, 17) in above equation.

m=\frac{17-6}{20-0}\\m=\frac{11}{20}

So, slope of the line m = \frac{11}{20}

Using point slope formula.

(y-y_{1})=m(x-x_{1}) ------------(1)

Where, m = slope of the line

Substitute (x_{1},y_{1} ) ⇒ (0, 6) and m = \frac{11}{20} in equation 1.

(y-6)=\frac{11}{20} (x-0)

y-6=\frac{11}{20}x

Add 6 both side of the equation.

y-6+6=\frac{11}{20}x+6

y=\frac{11}{20}x+6

Therefore, the equation that represents the relationship between x and y is written as:

y=\frac{11}{20}x+6

6 0
3 years ago
How are percents greater than 100 used in real world contexts
Paul [167]
Used show you have more than what is needed. Example is you need 6 slices of pizza for all your friends but have 7 slices you have more than is needed.
3 0
3 years ago
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