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Arte-miy333 [17]
3 years ago
11

Find all the missing measurement​

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

Answer:

m = 28

Step-by-step explanation:

The two triangles are similar, therefore we can make proportions

36/24 = 42/m

m = 42(24)/36 = 28

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Martin charges $10 for every 5 bags of leaves he rakes. Last weekend he raked 24 bags of leaves. How much money did he earn?
julsineya [31]
Martin charged $10 for every 5 bags
10/5 = 2
Martin charges $2 per bag
He raked 24 bags of leaves
24 x 2 = 48

Martin earned $48 dollars

hope this helps
8 0
3 years ago
Lupe and her friends spend $20 on hot dogs and popcorn at a
vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0
3 years ago
Which statement is true ?
Debora [2.8K]
The true statement will be A.
7 0
3 years ago
Read 2 more answers
What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

5 0
2 years ago
Which auto insurance coverage pays for injury or damage that the insured driver causes to other people or their property?
pashok25 [27]

Bodily injury liability and property damage liability is the auto insurance coverage that pays for injury or damage that the insured driver causes to other people or their property

To add, bodily injury liability also provides a legal defense in the event that you are sued for damages. Also, property damage liability<span> <span>coverage helps pay for the </span></span>damage<span> <span>that you cause to another vehicle, or other types of </span></span>property<span>.<span> </span></span>

3 0
3 years ago
Read 2 more answers
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