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Arisa [49]
1 year ago
10

11. What is the length of the missing side, x?

Mathematics
1 answer:
Dimas [21]1 year ago
8 0

Answer:

x = 40 in

Step-by-step explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

the missing angle in the triangle on the right is

180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

consider the corresponding sides opposite 74° , that is x and 40 in , so

x = 40 in

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100 meters = 100 x 3.281 feets

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I hope this helps.

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Are parallel lines inconsistent
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Read 2 more answers
Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after
evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

 10 weeks, $10  

10 weeks, $310  

9 weeks, $310  

310 weeks, $10

Answer:

10 weeks, $310  

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money

x= the amount of time in weeks

You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:

25x+60=30x+10

60-10=30x-25x

50=5x

x=50/5= 10

After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:

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-y=30(10)+10= 310

According to this, the answer is 10 weeks, $310.

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