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olga55 [171]
2 years ago
9

Trapezia ABCD and PQRS are similar. Find the area shaded in green.

Mathematics
1 answer:
avanturin [10]2 years ago
6 0

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ  = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>
  • area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 =  1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

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6 0
3 years ago
Rewrite in simplest terms: 9(m-9)-4(10m+2)9(m−9)−4(10m+2)
trasher [3.6K]

The required simplified expression for 9(m - 9) - 4(10m + 2) is  -31m - 90.

Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).


<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Question asked to simplify the term 9(m-9)-4(10m+2).

= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
=  -31m - 90

Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is  -31m - 90.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1

7 0
2 years ago
Can anybody help me with these two questions​
sladkih [1.3K]

Answer:

#1 is 39

#2 is 10 1/2

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a great thanksgiving break :)

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3 years ago
2+2Divided by 10,000×4000-10<br> Divided by 10,000×4000-10
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

-98 = -7h

/-7      /-7

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7 0
3 years ago
Read 2 more answers
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