What is the value of x?

Mathematics

1 answer:

Nataliya [291]2 years ago

3 0

There two things you need to remember with regards to your figure.
Firstly, the sum of all angles in a triangle is equal to 180.

Secondly, supplementary angles are two angles that form a straight line. In other words, the two lines sum up to 180 degrees.

Looking at your figure and the rules written above, you can then assume that the measure of angle x is equal to the sum of the two angles given inside the triangle.

53 + 45 = 98

Angle x is 98 degrees

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3 years ago

A bag contains 14 green, 12 orange and 19 purple tennis balls.

Nataliya [291]

Answer:

See explanation

Step-by-step explanation:

There are 14 green, 12 orange and 19 purple tennis balls in the bag,

$14+12+19=45$ balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green $=\dfrac{14}{45};$

a randomly chosen ball from the bag is orange $=\dfrac{12}{45}=\dfrac{4}{15};$

a randomly chosen ball from the bag is purple $=\dfrac{19}{45}.$

A probability model for choosing a tennis ball from the bag is

$\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&\dfrac{14}{45}&\dfrac{4}{15}&\dfrac{19}{45}\end{array}$