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3 years ago

Solve the system of equations.2r+3s=-53r+5s=-9Type an ordered pair

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Answer:

2r + 3s= 9 <=> -6r -9s = -27;

3r + 2s= 12 <=> 6r + 4s = 24;

=> 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

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Find x<br>and<br>each of the<br>interior angles.

Kay [80]

Answer:

Part 1) $x=27$

Part 2) The measure of the interior angles are 64°-67°-49°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem

$(3x-17)^o+(x+40)^o+(2x-5)^o=180^o$

Solve for x

Combine like terms

$(6x+18)^o=180^o$

Subtract 18 both sides

$6x=180-18$

$6x=162$

Divide by 6 both sides

$x=27$

step 2

Find the measure of each interior angle

substitute the value of x in each measure

$(3(27)-17)=64^o$

$(27+40)=67^o$

$(2(27)-5)=49^o$

5 0

3 years ago

Serena Masters is single and claims 1 allowance. Her gross weekly pay is $440.00. Each week she pays federal, Social Security, a

kirill115 [55]

Answer:

$415.6

Step-by-step explanation:

Given data

Gross weekly pay = $440.00

<em />

<em>Taxes/deductible</em>

Medical insurance = $14.40

Union dues= $10.00

Total deductible= 14.4+10= $24.4

Hence the net pay

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3 years ago

The sum of three times a numbet (x)and 15 is 42 find the number

ladessa [460]

<h3>Given:</h3>

The sum of three times a Number (x) and (15) is equal to 42.

The numbers.

<h3>Solution:</h3>

The first no. will be $\sf{3x(3×x=3x)}$

And,the second no. will be $\bf{15}$

$\implies\sf{3x+15=42}$

$\implies\sf{3x=42-15}$

$\implies\sf{3x=27}$

$\implies\sf{x=}\dfrac{27}{3}$

$\implies\sf{x=9}$

Therefore,the first number will be ,

$\leadsto{3x=3×9=27}$

$\bf\underline\green{Verification:-}$

$\leadsto\bf{27+15=42}$

$\leadsto\bf{42=42}$

Hence,Verified.

3 0

3 years ago

Read 2 more answers

10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x -

ipn [44]

Answer:

Step-by-step explanation:

A because when you find the product you need to add

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2 years ago

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8090 [49]

Answer:

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3 years ago

Solve the system of equations.2r+3s=-53r+5s=-9Type an ordered pair​​

Solve the system of equations.2r+3s=-53r+5s=-9Type an ordered pair