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serious [3.7K]
1 year ago
11

I need help on this please anyone help

Mathematics
1 answer:
joja [24]1 year ago
8 0

x + 90 = 7x

90 = 7x - x

90 = 6x

x = 90/6

x = 15

Result x = 15

Measure of each angle = 15 + 90

= 105

a) x = 15

b) angle = 105°

Second problem

a= Complementary

b) 90°

c) x = 90 - 37

x = 53°

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The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le
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Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

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2 years ago
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What ratio forms a proportion with 2/3?<br> A. 2/4 B. 3/4 C. 4/6 D. 3/2
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Answer:

c

Step-by-step explanation:

because you can simplify 4/6 by 2.

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Answer:

Answers are below

Step-by-step explanation:

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Simplify (8c^4w^2)^2 show work
muminat

Exponents are not particularly mysterious. They show repeated multiplication. That is ...

... c⁴ = c·c·c·c

... w² = w·w

Then the factor inside parentheses is ...

... 8·c·c·c·c·w·w

The exponent outside parentheses tells you the number of times this is repeated as a factor:

... (8c⁴w²)² = (8·c·c·c·c·w·w)(8·c·c·c·c·w·w)

... = 8·8·c·c·c·c·c·c·c·c·w·w·w·w = 64c⁸w⁴

_____

You can take advantage of the fact that multiplication is repeated addition, so the exponents of the various factors can be found by multiplying the outside exponent by the inside exponents.

\displaystyle\left(8c^{4}w^{2}\right)^{2}=8^{2}\cdot c^{4\cdot 2}\cdot w^{2\cdot 2}\\\\=64c^{8}w^{4}

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