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steposvetlana [31]
2 years ago
10

In this figure, the unshaded region represents a painting and the shaded region represents a frame around the painting. All angl

es are right angles. (a) What is the area of the painting? Show your work.
(b) What is the area of the frame? Show your work.

Mathematics
1 answer:
hichkok12 [17]2 years ago
7 0

Answer:

a. 57 b. 178

Step-by-step explanation:

6x9.5 = 56

13.5x10 = 135

135 - 57 = 78

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Find the value of x in the below complementary angle 3x(5x+2)​
Natali [406]

Answer:

The value of x is 11

Step-by-step explanation:

<em>Two angles are complementary if the sum of their measures is 90°</em>

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

   are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

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→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

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7 0
3 years ago
A cell phone provider offers a plan that costs ​$30 per month plus ​$0.10 per text message sent or received. A comparable plan c
mariarad [96]

300 messages would have to be sent or received in order for the plan to cost same each month.

Step-by-step explanation:

Given,

Cost per month = $30

Per text sent or received charges = $0.10

Let,

x be the number of texts sent or received.

A(x) = 0.10x+30    

A comparable plan costs = $60 per month

Text messages are unlimited.

B(x) = 60

For the two plans to cost equal;

A(x) = B(x)

0.10x+30=60\\0.10x=60-30\\0.10x=30

Dividing both sides by 0.10

\frac{0.10x}{0.10}=\frac{30}{0.10}\\x=300

300 messages would have to be sent or received in order for the plan to cost same each month.

Keywords: function, addition

Learn more about functions at:

  • brainly.com/question/2860697
  • brainly.com/question/2977815

#LearnwithBrainly

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3 years ago
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