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Katyanochek1 [597]
3 years ago
5

Find the Area of the shaded region of the trapezoid below. (show your work or explain how you got your answer in words) *

Mathematics
1 answer:
Rudiy273 years ago
5 0
This is the full answer to the question

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The average of the weights of six people sitting in a boar is 145 pounds. After a seventh person gets into the boat, the average
Tems11 [23]
<u>Weight : </u>

<em>⇒ x for 6 people</em>
<em>⇒ y for the 7th person</em>

x/6=145 \\ (x+y)/6=147 \\  \\ x=145*6 \\ x=870 \\  \\ x+y=1029 \\  \\ 870+y=1029 \\ y=1029-870 \\ y=159

<u>The correct answer is B).</u>
5 0
3 years ago
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Lisa is 10 cm taller than her friend ian. Ian is 14 cm taller than jim. Every month, their heights increase by 2 cm. In 7 months
koban [17]

Answer:  Ian's height = x+14 = 69+14 = 83 cm

Explanation :

Let the height of Jim be x

Let the  height of Ian be x+4

Let the height of Lisa be x+4+10=x+14

Since their heights increase by 2cm every months

so after 7 months ,

Jim's  height = x+14

Ian's  height= x+4+14=x+18

Lisa's  height= x+14+14=x+28

According to question,

Sum of Ian's and Jim's height = 170cm

x+18+x+14 = 170\\2x+32 =170\\2x =170-32\\2x = 138

⇒x = \frac{138}{2}

⇒ x= 69cm

∴ Ian's height = x+14 = 69+14 = 83 cm

5 0
3 years ago
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2(y-4)+5=3(y+2) for y​
brilliants [131]

2(y-4)+5=3(y+2)

multiply the first bracket by 2

(2)(y)=2y

(2)(-4)=-8

multiply the second bracket by 3

(3)(y)=3y

(3)(2)=6

2y-8+5=3y+6

2y-3=3y+6

move 3y to the other side

sign changes from +3y to -3y

2y-3y-3=3y-3y+6

-y-3=6

move -3 to the other side

-y-3+3=6+3

-y=9

multiply both sides by -1 to get +y

(-1)(-y)=9(-1)

Answer:

y=-9

3 0
3 years ago
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Find the value of x in the triangle shown below.
DIA [1.3K]

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

7 0
3 years ago
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The cost of a ticket t will be no more than $26
OLEGan [10]

Answer: t  \leq \\\\ 26

Step-by-step explanation:

3 0
2 years ago
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