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kkurt [141]
2 years ago
13

Solve the following proportion. Round your answer to two decimal places.

Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

\frac{x+1}{x+3} = \frac{3}{5} ( cross- multiply )

5(x + 1) = 3(x + 3) ← distribute parenthesis on both sides

5x + 5 = 3x + 9 ( subtract 3x from both sides )

2x + 5 = 9 ( subtract 5 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

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The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles
USPshnik [31]

Answer:

m<1 = 57°

m<2 = 33°

Step-by-step explanation:

To find the numerical measure of both angles, let's come up with an equation to determine the value of x.

Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.

Equation we can generate from this, is as follows:

(10x + 7)° + (9x - 12)° = 90°

Solve for x

10x + 7 + 9x - 12 = 90

Combine like terms

19x - 5 = 90

Add 5 to both sides

19x = 90 + 5 (addition property not equality)

19x = 95

Divide both sides by 19

x = 5

m<1 = (10x +7)°

Replace x with 5

m<1 = 10(5) + 7 = 50 + 7 = 57°

m<2 = (9x - 12)

Replace x with 5

m<2 = 9(5) - 12 = 45 - 12 = 33°

5 0
3 years ago
How do you solve 25x = (1/125)^(4x-5)
amm1812

Step-by-step explanation:

Step 1: 25*x-((1/125)^(4*x-5))=0

step 2: simplify 1/125

step 3: 25x-(1/125)(4x-5)=0

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6 0
3 years ago
Read 2 more answers
Is 2 to the power of 3 bigger then the square root of 5?
BARSIC [14]

Answer:

Yes.

Step-by-step explanation:

Let's write out each problem:

\sqrt{5} = 2.3

2^3 = 8

Now that we have both answers to each expression, we can tell that 2^3, in fact, is larger than the square root of 5.

So your answer is, "Yes, 2^3 is bigger than the square root of 5.

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6 0
3 years ago
V=n/t+10<br> solve for n
AnnZ [28]

Answer:

Lets isolate

v-10=n/t

negate the right side

t(v-10)= n

8 0
3 years ago
Write a mathematical sentence for the inequality twice the difference of a number and seven is less than or equal to forty
Illusion [34]

2x +   7\leqslant 40
Sounds like that to me but that is symbolically showing of that's what your teacher means as mathematical sentence
5 0
3 years ago
Read 2 more answers
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