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ollegr [7]
3 years ago
8

Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle P

QR = ?
Mathematics
1 answer:
Alchen [17]3 years ago
7 0

Answer:

PQR = 140

Step-by-step explanation:

Given

XYZ = 2X

PQR = 8X - 20

Required

Find PQR

Since both angles are supplementary, we have:

XYZ + PQR = 180

This gives:

2X + 8X - 20 = 180

10X - 20 = 180

Collect Like Terms

10X = 20 + 180

10X = 200

Divide through by 10

X = 20

Substitute 20 for X in PQR = 8X - 20

PQR = 8 * 20 -20

PQR = 140

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The answer to the question is (2,-2) d

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3 years ago
Mrs. Eaton's dass is participating in the "Box Teps for Education campaign. On the first day, her
Katyanochek1 [597]

The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

First day class collected = 2 tops

Third day class collected = 8 tops

The exponential function can be modelled:

\rm D(N) = 2^N

D(1) = 2  (first day)

D(3) = 8  (third day)

D(6) = 64 (sixth day)

The linear function can be modeled:

D(N) = 3N -1

D(1) = 2  (first day)

D(3) = 8 (third day)

D(6) = 17 (sixth day)

Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

Learn more about the exponential function here:

brainly.com/question/11487261

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4 0
2 years ago
-4x-3(-44-23)=13<br><br><br> please show the work, i’ll mark brainliest
pychu [463]

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

−4x+201=13

Step 2: Subtract 201 from both sides.

−4x+201−201=13−201

−4x=−188

Step 3: Divide both sides by -4.

−4x

−4

=

−188

−4

x=47

3 0
2 years ago
Y=-x+2 <br> y=-5x-6 <br> What is y and x
tatyana61 [14]
To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
y = 2 + 2
y = 4

The last step is to substitute both values into both equations to see if they are correct:

4 = -(-2) + 2    -->    4 = 2 + 2    <--True
4 = -5(-2) - 6    -->    4 = 10 - 6    <--True

Answer:
x = -2
y = 4
6 0
3 years ago
2,167 divided by 6 equals
muminat
361.16 repeating I used my calculator
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