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kap26 [50]
3 years ago
15

ABCD~FECG similar polygons​

Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:

120

Step-by-step explanation:

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a roller skating rink offers a special rate for birthday parties. On the samr day, a party for 10 skaters cost $107 and a party
olga nikolaevna [1]

Answer:

$119

Step-by-step explanation:

Let

x -----> the number of skaters

y -----> the cost for birthday parties

we have the points

(10,107) and (15,137)

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{137-107}{15-10}

m=\frac{30}{5}=6\ \frac{\$}{skater}

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=6\\point\ (10,107)

substitute

y-107=6(x-10)

step 3

Convert to slope intercept form

y-107=6x-60

y=6x-60+107

y=6x+47

step 4

How much would a party for 12 skaters cost?

For x=12 skaters

substitute the value of x in the equation and solve for y

y=6(12)+47

y=\$119

4 0
2 years ago
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4
Elena-2011 [213]

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

5 0
3 years ago
Simplify 6x+(-5y) -12x +4x
faust18 [17]

Answer:

=−2x−5y

Step-by-step explanation:

Let's simplify step-by-step.

6x−5y−12x+4x

=6x+−5y+−12x+4x

Combine Like Terms:

=6x+−5y+−12x+4x

=(6x+−12x+4x)+(−5y)

=−2x+−5y

4 0
3 years ago
The slope of a line that is perpendicular to a line whose slope is 3/8 is
Molodets [167]

Answer:

-8/3

Step-by-step explanation:

We know that lines that are perpendicular have slopes that multiply to -1

m1 * m2 = -1

We know one slope is 3/8 and are looking for the perpendicular slope m2

3/8 * m2 = -1

Multiply each side by 8/3 to find m2

3/8*8/3 *m2 = -1*8/3

m2 = -8/3

5 0
2 years ago
Read 2 more answers
the crack on the liberty Bell is approximately 24.5 inches long. if a model of the liberty bell uses a scale of 3 inches = 5 fee
Vesnalui [34]

The main crack is 24.5 inches long and .5 of an inch wide. There are also many small hairline cracks as well. The Liberty Bell weighs approximately 2080 pounds. The Liberty Bell is 12 feet in circumference (of the lip) and 3 feet tall. :3

5 0
3 years ago
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