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2 years ago

if there are two angles that are supplementary,and the first angle has a measure of 137, what is the measure of the second angle

Mathematics

1 answer:

zvonat [6]2 years ago

4 0

Answer:

43°

Step-by-step explanation:

supplementary angles sum to 180° , then

second angle + 137° = 180° ( subtract 137° from both sides )

second angle = 43°

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The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

zavuch27 [327]

Answer:

(–1, 1)

(4, –2)

Step-by-step explanation:

Let

(x,y) ----> the coordinates of point C

Applying the Pythagoras Theorem

$(-1-4)^2+(-2-1)^2=(x-4)^2+(y-1)^2+(x+1)^2+(y+2)^2$

step 1

Find the possibles values of x

$(-1-4)^2=(x-4)^2+(x+1)^2\\\\25=x^{2}-8x+16+x^{2}+2x+1\\\\2x^{2}-6x-8=0$

Simplify

$x^{2}-3x-4=0$

Solve the quadratic equation

$x^{2}-3x-4=(x+1)(x-4)$

The values of x are

x=-1 and x=4

step 2

Find the possibles values of y

$(-2-1)^2=((y-1)^2+(y+2)^2\\\\9=y^{2}-2y+1+y^{2}+4y+4\\\\2y^{2}+2y-4=0$

Simplify

$y^{2}+y-2=0$

Solve the quadratic equation

$y^{2}+y-2=(y+2)(y-1)$

The values of y are

y=-2, y=1

therefore

The possibles coordinates of point C are

(-1,1),(4,-2)

3 0

3 years ago

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M is between points c and q. CM=22 and CQ=39. What is MQ ?

Anna11 [10]

The answer for MQ is 17

3 0

3 years ago

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Determine the amplitude of the following:

nadya68 [22]

QUESTION 1

The first function is
$y = \sin(4x)$
A function of the form
$y = A \sin(Bx)$

has amplitude equal to

$|A|$

The amplitude of
$y = \sin(4x)$

is

$1$

QUESTION 2

The given function is

$y = 4 \cos(x)$

A trigonometric function of the form
$y = A \cos(Bx)$

also has an amplitude of
$|A|$

The amplitude of
$y = 4 \cos(x)$

is

$4$

QUESTION 3

The given trigonometric function is

$y = 3 \sin( \frac{2}{3} x)$

The amplitude of this trigonometric function is

$3$

QUESTION 4.

The given trigonometric function is

$y = 3 \cos(x)$

The amplitude of this cosine function is
$3$

8 0

3 years ago

What is the value of x

ValentinkaMS [17]

Answer:

Step-by-step explanation:

There are 7 sides to this polygon. Forget all the lettering on the figure. Concentrate on the number of triangles you can count. There are 5 of them. Each one has 180 degrees. So the total number of degrees on the interior of the figure is

5 * 180 = 900

All you have to do is add up all the angles including the x and equate them to 900

x + 146 + 122 +142+ 140 + 110 + 142 = 900 Collect the terms on the left.

x + 802 = 900 Subtract 802 from both sides

x = 900 - 802

x = 98

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4 years ago

He pattern of numbers below is an arithmetic sequence:

pogonyaev

Answer:

third option

Step-by-step explanation:

Given the arithmetic sequence

14, 24, 34, 44, 54, ....

with f(1) = 14 and common difference d = 24 - 14 = 10

The recursive function allows a term in the sequence to be found by adding d to the previous term, thus

f(n + 1) = f(n) + 10 where f(1) = 14

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4 years ago

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