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3 years ago

If Ab = 54, find MC.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

8 0

Answer:

MC = 45

Step-by-step explanation:

Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is

$\frac{AB}{MC}$ = $\frac{AH}{MH}$ , substitute values

$\frac{54}{MC}$ = $\frac{6}{5}$ ( cross- multiply )

6MC = 270 ( divide both sides by 6 )

MC = 45

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3 years ago

Kieran’s wallet contains 7 bills: three $5 bills, two $10 bills, one $20 bill, and one $100 bill. If Kieran pulls out two bills

Vladimir79 [104]

3/7
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3 years ago

Read 2 more answers

A number,n,is multiplied by -5/8. The product is -0.4. What is the value of n?

Over [174]

N(-5/8)=-0.4
times both sides by -8/5
n(-40/-40)=3.2/5
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n=0.64

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2 years ago

Read 2 more answers

1. The numbers ______ and _____ are respectively the additive and multiplicative identities of rational numbers

miss Akunina [59]

Answer: 0 and 1, in that order

The numbers <u> 0 </u> and <u> 1 </u> are respectively the additive and multiplicative identities of rational numbers.

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Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

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2 years ago

What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ

Hoochie [10]

Answer:

Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

Reflect over x-axis → (4, -1) becomes (4, 1)

Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

Rotate 180° → (-4, -1) becomes (4, 1)

Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

Reflect over the y-axis → (-4, -1) becomes (4, -1)

Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

Reflect over the x-axis → (4, 1) becomes (4, -1)

Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

6 0

3 years ago