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lozanna [386]
3 years ago
9

Which of the following proportionality statements is correct ?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

A. \frac{AC}{BC} = \frac{DF}{EF}

Step-by-step explanation:

Given that: ΔABC~ΔDEF

This implies that the sides of the two triangles are proportional. So that,

AB is proportional to DE

BC is proportional to EF

AC is proportional to DF

Therefore from the given proportional relations of the two triangles, the appropriate proportionality statement is;

\frac{AC}{BC} = \frac{DF}{EF}

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The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -
ra1l [238]

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

5 0
3 years ago
Ms graves gave her class 12 minutes to read. Carrie read 5 1/2pages in that time. At what rate ,in pages per hour ,did Carrie re
Rainbow [258]
12 mins
60 mins per hour
we are trying to find an equivilent fraction that has 60 in the bottom
so
(5 and 1/2)/12=x/60
multiply both sides by 60
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27 and 1/2=x

she read 27.5 pages per minute
5 0
3 years ago
Read 2 more answers
Each sheet cake requires 3 cups of flour and 2 cups of sugar. If a bakery has 75 cups of flour, how many sheet cakes can be made
m_a_m_a [10]

Answer:

They can make 25 cakes

Step-by-step explanation:

75/3=25

6 0
3 years ago
An 11 letter word for the variable in an algebraic expression
Natalija [7]
I'm just guessing but maybe expressions
8 0
3 years ago
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Is −4[3(x−7)] and 6(14−2x) equiviant
Paraphin [41]

Answer:

Yes.

Step-by-step explanation:

Set the equations equal to each other to determine their equality.

-4[3(x - 7)] = 6(14 - 2x)

Distribute the 3 and the 6 into their respective parenthesis.

-4[3x - 21] = 84 - 12x

Distribute the -4 into the brackets.

-12x + 84

Rearrange the equations.

84 - 12x = 84 - 12x

Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.

4 0
3 years ago
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