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3 years ago

One angle within a triangle is 76 degrees. What is the value of the exterior angle?

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

4 0

Answer:

The value of the exterior angle is $104\°$

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to $180\°$ , because are supplementary angles.

Let

x-----> the measure of the exterior angle

$76\°+x=180\°$

solve for x

$x=180\°-76\°=104\°$

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1 year ago

Solve for w in the proportion 32/40 = 28/w W= ?

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2 years ago

Read 2 more answers

The farmer looks out in the barnyard and Cesar pigs and the chickens. He says to his daughter, “ I count 40 heads in 100 feet. H

notsponge [240]

Answer:

There are 10 pigs and 30 chickens

Step-by-step explanation:

Let the number of pigs be x

let the number of chickens be y

Then there are 40 heads . So the total number of pigs and chickens is 40

x + y = 40-----------------------(1)

We know that pigs have 4 legs and chickens have 2 legs

4x + 2y = 100----------------------(2)

Solving (1) and (2)

multiply (1) by 2

2x + 2y = 80-------------------------(3)

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3 years ago

if 1/2 an apple was shared equally among 3 people. what fracton of the who apple did each person recive.

enyata [817]

Answer:

1/6

Step-by-step explanation:

1/2/3 is a sixth of an apple that all 3 people equally shared.

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3 years ago

Y=-2x²-8x-5 domain and range

Jobisdone [24]

Answer:

Domain: All real numbers

Range: y≤3

Step-by-step explanation:

The given function is

$y = - 2 {x}^{2} - 8x - 5$

This is a polynomial function.

The domain is set of all values of x, that makes this function defined.

Since polynomial functions are defined everywhere, the domain is all real numbers.

To find the range we put the function in vertex form:

$y = - 2( {x}^{2} + 4x) - 5$

$y = - 2( {x}^{2} + 4x + 4) - 5 + - 4 \times - 2$

$y = - 2( {x} + 2)^{2} - 5 + 8$

$y = - 2( {x} + 2)^{2} + 3$

The maximum value is 3

The function turns downward, hence the range is:

$y \leqslant 3$

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3 years ago