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Mathematics

2 answers:

insens350 [35]3 years ago

7 0

Answer:

C. 2x = 100

Step-by-step explanation:

Vertical angles are 2 angles which are vertical and have the same degree. For example, if an angle which is vertical to another is 80°, the other angle is 80° too. The reason why you can't say it's 50 is because they want you to identify the equation of it, so you can't really like shortcut through and you need to make an answer for explanation. Hence 2x = 100 is the best answer.

nignag [31]3 years ago

4 0

C) 2x = 100, this is because they are equal
The angle of TQV: 50

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The area of a trapezium is 800 cm2

svlad2 [7]

Answer:

The distance between the parallel sides is 20cm.

Step-by-step explanation:

Area of a trapezoid:

$A=\frac{a+b}{2}\times h$

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.

3 of the 4 variables in this equation are already given:

A = 800

a = 48

b = 32

Just plug those in and solve for h:

$\rightarrow 800=\frac{48+32}{2}\times h\\\rightarrow 800=\frac{80}{2}\times h\\\rightarrow 800=40\times h\\\rightarrow 800\div40=h\\\rightarrow h=20$