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2 years ago

Find m<1. A.30 B.35 C.40 D.55

Mathematics

1 answer:

mihalych1998 [28]2 years ago

5 0

Answer:

m <1 = 30

Step-by-step explanation:

The sum of the angles of a triangle add to 180

Let x be the unknown angle

75+75+x = 180

Combine like terms

150+x =180

Subtract 150 from each side

150-150+x = 180-150

x = 30

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Jimmy's costume requires ⅞ + ½ + 1 3/4 yards of fabric. His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric tha

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Answer:

The correct answer is fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

Step-by-step explanation:

Jimmy's costume requires ⅞ + ½ + 1 $\frac{3}{4}$ yards of fabric = $\frac{7}{8} +\frac{4}{8} + \frac{14}{8} = \frac{25}{8}$ yards.

His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× ( $\frac{21}{24} + \frac{12}{24} + \frac{40}{24}$ ) yards of what Jimmy needs = $\frac{73}{8}$ yards of what Jimmy needs.

The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by

Fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

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3 years ago