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wlad13 [49]
3 years ago
10

Please helpp!! Due soon

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0
Answer: 
The area of triangle QUV is 24 square feet

-----------------------------------------------

Explanation:

Segment TV is the base of the green parallelogram PRTV
The height is segment RS which is 8 ft. This is marked as the perpendicular dashed segment line (note the right angle marker). RS is perpendicular to SV, which in turn means RS is perpendicular to TV as well.

Area of Parallelogram = Base*Height
96 = TV*RS
96 = TV*8
96/8 = TV
12 = TV
TV = 12

Segment TV is composed of TU and UV, both of which are congruent segments. The single tickmarks show this. The instructions also state "the lengths of segment TU an segment UV are equal"
So TU = UV
TU + UV = TV
UV + UV = TV
2*UV = TV
2*UV = 12
UV = 12/2
UV = 6

The height of triangle QUV is also RS = 8 because triangle QUV is completely enclosed inside the parallelogram, and because RS is perpendicular to UV. The base of triangle QUV is the segment UV = 6

Area of triangle QUV = (base)*(height)/2
Area of triangle QUV = UV*RS/2
Area of triangle QUV = 6*8/2
Area of triangle QUV = 48/2
Area of triangle QUV = 24 square feet

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konstantin123 [22]

Answer: She ordered 4 toppings.

Step-by-step explanation:

Given: Total cost of pizza  = $ 12.90

Cost of pizza =$7.50

Price per topping = $1.35

Let x = Number of toppings,

Total cost of pizza = (Cost of pizza) + (price per topping) × (Number of topping)  

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hence, she ordered 4 toppings.

5 0
3 years ago
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

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Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

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y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

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72/.60=120

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She would need to work 12 hours per week. 
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Arlecino [84]
2.56 times 0.03 is 0.0768 then round to hundredth is 0.08 i think 
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4 years ago
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