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klio [65]
3 years ago
11

16

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

x = 40

smaller angle is 80

larger angle is 100

Step-by-step explanation:

Supplementary angles add up to equal 180 degrees

Hence, x + 40 + 3x - 20 = 180

( note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

x + 40 + 3x - 20 = 180

step 1 combine like terms

x + 3x = 4x

40 - 20 = 20

we now have 4x + 20 = 180

step 2 subtract 20 from each side

180 - 20 = 160

we now have 160 = 4x

step 3 divide each side by 4

160 / 4 = 40

4x / 4 = x

we're left with x = 40

we now plug in 40 for x to find the value of each angle

x + 40

* substitute 40 for x *

40 + 40 = 80

3x - 20

* substitute 40 for x *

3 ( 40 ) - 20

3 * 40 = 120

120 - 20 = 20

so the larger angle is 100 degrees and the smaller angle is 80 degrees

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3 years ago
PLEASE HELP (100 POINTS)
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\\ \rm\Rrightarrow f(x)=-5cos\dfrac{x}{2}+5

Compare to standard equation of SHM

\\ \rm\Rrightarrow y=Acos(\omega x+\phi)

Here

  • Amplitude=A=-5

\\ \rm\Rrightarrow \omega x=\dfrac{x}{2}

\\ \rm\Rrightarrow \omega=1/2

Well the above one are for extra knowledge .

Solution:-

\\ \rm\Rrightarrow 10=-5cos\dfrac{x}{2}+5

\\ \rm\Rrightarrow 10-5=-5cos\dfrac{x}{2}

\\ \rm\Rrightarrow 5=-5cos\dfrac{x}{2}

\\ \rm\Rrightarrow cos\dfrac{x}{2}=-1

\\ \rm\Rrightarrow \dfrac{x}{2}=cos^{-1}(-1)

\\ \rm\Rrightarrow \dfrac{x}{2}=\pi

\\ \rm\Rrightarrow x=2\pi

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\\ \rm\Rrightarrow x=2\pi+2\pi n

3 0
2 years ago
Read 2 more answers
Find an equation for the line that passes through the point (-4, 10) and (16, -2)
Crank

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

y_1 = 40

x_2 = 16

y_2 = -2

Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

12 / 20 = y - 10 / x + 4

Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

12x + 48 = 20y - 200

12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

3 0
3 years ago
PLEASE HELP!!! I WILL GIVE BRAINLIEST!! 98 POINTS!! Fake answers will get reported. ONLY QUESTIONS
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