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melomori [17]
3 years ago
6

Conrad drew 2 angles. Three times the measure of angle 1 is 30° more than 5 times the measure of angle 2. The sum of twice the m

easure of angle 1 and twice the measure of angle 2 is 180°. Find the measure of each angle.
Mathematics
1 answer:
ad-work [718]3 years ago
3 0
Let x= measure of angle 1
Let y= measure of angle 2

This is solving a system of equations

3x=30+ 5y which can also be written

3x-5y=30, and

2x+2y=180
There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:
2(3x-5y)=2*30
3(2x+2y)= 3*180

6x-10y=60
6x+6y=540, and now subtract to get rid of x
0-16y=-480
Y=30
Plug it back in to either equation and you get x=60

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Calculate 65 L to quarts. Final answer round two places
lakkis [162]

Step-by-step explanation:

The approximate equation to convert from liters to quarts is : x • 1.056688.

We enter 65 for x and multiply.

65 • 1.056688 = 68.68472

We round that to the nearest 100th to get our final answer.

Our final answer: 68.68 liters

7 0
4 years ago
What is bigger 9/10 or 7/8
Nataliya [291]
You start by cross multiplying:
9 x 8 = 72
This is considered the fraction on the left's value.
You do the same for the other side:
10 x 7 = 70
This is considered the value of the fraction 7/8
72 has a greater value than 70.

Therefore, 9/10 is larger.
4 0
4 years ago
Read 2 more answers
Hi- I need help please to get my HS diploma...did not graduate :(
andrew-mc [135]

The remainder from the division of the algebraic equation is -53/8.

<h3>What is the remainder of the algebraic expression?</h3>

The remainder of the algebraic expression can be determined by using the long division method.

Given that:
\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}

where:

  • The divisor = 2x -3

Using the long division method, we have:

\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}

Therefore, we can conclude that the remainder is -53/8.

Learn more about the division of algebraic equations here:

brainly.com/question/4541471

#SPJ1

8 0
2 years ago
WILL GIVE A BRAINLIEST PLEASE HELP!!
skelet666 [1.2K]
A= l*w
168= 14*w

Divide both sides by 14
168/14= 14w/14
12=w

Final answer: 12 ft (I'm not sure if you meant to switch the order of b and c).
7 0
3 years ago
Read 2 more answers
Find the slope between the points (0,8) and (4,4)
Oxana [17]

Answer:

Slope=-1

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1)(0,8) and (X2,y2) (4,4)

Slope=8-4/0-4

=4/-4

=-1

So slope is -1

5 0
3 years ago
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