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2 years ago

What is the answer to the question

Mathematics

2 answers:

zloy xaker [14]2 years ago

6 0

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)

asambeis [7]2 years ago

3 0

Step-by-step explanation:

$\frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81$

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The base of a triangle exceeds the height by 3 cm if the area is 170 cm² what is the length of the base and the height of the tr

Strike441 [17]

Hey there!!

How do we find the area of a triangle?

Ans - Formula = ( 1 / 2 ) ( base ) ( height )

In the question, it states the base exceeds the height by 3 cm

Let's take the height as ' x '

The, the base of the triangle would be ' x + 3 '

It's area = 170 cm²

Let' get this into an equation :

( 1/2 ) ( x ) ( x + 3 ) = 170

... ( x / 2 ) ( x + 3 ) = 170

... ( x² + 3x / 2 ) = 170

Multiplying by 2 on both sides

... x² + 3x = 340

Subtract 340 on both sides

... x² + 3x - 340 = 0

We can write this as

... x² - 17x + 20x - 340 = 0

... x ( x - 17 ) + 20 ( x - 17 ) = 0

... ( x + 20 ) = 0

... ( x - 17 ) = 0

... x = -20

... x = 17

As the value can not be in negatives, we take x as 17

The value of height = 17 cm

The value of the base = 20 cm

Hope my answer helps!!

6 0

2 years ago

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Which of the following employees derives their income from a fee for the items sold?

dezoksy [38]

Answer:

commission

Step-by-step explanation:

3 0

2 years ago

Simplity -4/3 ➗2/-6 -4 -2 2 4 I

yulyashka [42]

Answer:

-4

Step-by-step explanation:

-4/3÷2/-6

⇒ -4/3×-6/2

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2 years ago

A quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) . Find the equation for the line (axis) of symmetry

ra1l [238]

Answer:

The equation for the axis of symmetry is x=1.5.

Step-by-step explanation:

It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .

In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.

If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

$x=\frac{a+b}{2}$

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.

$x=\frac{-5+8}{2}$

$x=\frac{3}{2}$

$x=1.5$

Therefore the equation for the axis of symmetry is x=1.5.

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2 years ago

Factor pairs for 18 and

Solnce55 [7]

3,3,2 these are the primes of 18

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3 years ago