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Natalka [10]
3 years ago
5

The polygons in each pair are similiar help find the missibg length???

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

x = 40.

Step-by-step explanation:

The corresponding sides are in the same proportion so:

45/ 27 = 30/18 = x/24

Consider the last 2 fractions:

30/18 = x/24

5/3 = x/24           Cross multiply:

3x = 5 * 24

x =  120 / 3

x  = 40.

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If a boat travled 70miles in 5 hours how far did the boat travel in one hour
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Step-by-step explanation:

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2 years ago
#10: find angle x and y!<br> Im struggling so much with this question please help a gurl out!
hjlf

Answers:

x = 100

y = 25

==============================================================

Explanation:

Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25

Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.

I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.

The triangle's angles 25, 75, z add up to 180. Let's solve for z

25+75+z = 180

100+z = 180

z = 180-100

z = 80

Use this to find x

x+z = 180

x+80 = 180

x = 180-80

x = 100

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