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horrorfan [7]
2 years ago
9

An Angle has a measure of (5x + 7) and another angle has a measure of 2x + 54. Together they form a linear pair. Find the measur

e of the smaller angle.
Mathematics
1 answer:
IrinaK [193]2 years ago
3 0
The measure of the smaller angle is 88 degrees. Since both angles are a linear pair, this means that they form a 180-degree angle when added together. So, form the equation 5x+7+2x+54=180. Then combine like terms on the left side to get 7x+61=180. Subtract 61 from both sides to get 7x=119. Lastly, divide both sides by 7 to get x=17. To find the smaller angle, substitute 17 for x to get each of the angles' measures. The angle 2x+54 is equivalent to 88 degrees while the angle 5x+7 is equivalent to 92 degrees.
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An online furniture store sells chairs for $150 each and tables for $400 each. Every day, the store can ship no more than 30 pie
ivolga24 [154]

Answer:

minimum of 13 chairs must be sold to reach a target of $6500

and a max of 20 chairs can be solved.

Step-by-step explanation:

Given that:

Price of chair = $150

Price of table = $400

Let the number of chairs be denoted by c and tables by t,

According to given condition:

t + c = 30 ----------- eq1

t(150) + c(400) = 6500 ------ eq2

Given that:

10 tables were sold so:

t = 10

Putting in eq1

c = 20 (max)

As the minimum target is $6500 so from eq2

10(150) + 400c = 6500

400c = 6500 - 1500

400c = 5000

c = 5000/400

c = 12.5

by rounding off

c = 13

So a minimum of 13 chairs must be sold to reach a target of $6500

i hope it will help you!

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olga2289 [7]

Answer:

Step-by-step explanation:

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