2 years ago

Work out the size of angel x.

Mathematics

2 answers:

Lemur [1.5K]2 years ago

7 0

Answer:

x = 52

Step-by-step explanation:

Sum of angles around a point = 360

i.e,

=> 165 + 90 + 20 + 33 + x = 360

=> 308 + x = 360

=> x = 360 - 308

=> x = 52

aniked [119]2 years ago

4 0

Answer:

Basic fact:

<em>angles in a point add up to 360</em>

Step-by-step explanation:

20+165+33+90(that is the right angle)+x=360

20+165+33+90=308

308+x=360

-308

x=52

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The height of a triangle is 7 ft more than its base. if the area of the triangle is 30 ft^ what is the lentgh of the base

Dmitriy789 [7]

Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12

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