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3 years ago

Write and solve an equation to find the value of x and the missing angle measures

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

6 0

Answer:

x=-5

x+85 = 80 degrees

x+105= 100 degrees

Step-by-step explanation:

(x+85)+(x+105)=180 since it is a straight line

2x+190=180

2x=-10

x=-5

so x+85 = 80 degrees

x+105= 100 degrees

meriva3 years ago

5 0

Answer:

x+85 + x+105 = 180

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+85 + x+105 = 180

Combine like terms

2x + 190 = 180

Subtract 190 from each side

2x+190-190 = 180-190

2x = -10

Divide by 2

2x/2 = -10/2

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

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Explain and show plz

STALIN [3.7K]

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12 + 12(1/4) =

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D is equal to C when simplified,

12(1+1/4) =

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3 years ago

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Find the interest earned and the future value of an annuity with quarterly payments of $600 for 8 years into an account that pay

iVinArrow [24]

Answer:

interest earned= 292.878

the future value of an annuity= 892.878

Step-by-step explanation:

Given Data:

Interest rate= 5%

time,t = 8 years

Quarterly payment, P= 600

n= 4 as quarterly

At the end of 8 years, final investment A= ?

As per the interest formula

A= P(1+r/n)^nt

= 600(1+0.05/4)^32

= 892.878

Interest earned = A-P

= 892.878-600

= 292.878 !

3 0

3 years ago

Dora is purchasing a $162,000 home with a 30-year mortgage at 5.15%. What is her monthly principal and interest payment?

Yuki888 [10]

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3 years ago

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If DX/DT= 2cm/s x=-1 y=x^2+1 DY/DT=??

kobusy [5.1K]

Answer:

$\frac{dy}{dt}$ = - 4 cm/s

Step-by-step explanation:

Let us revise the chain rule

If $\frac{dy}{dt}$ = a and $\frac{dx}{dt}$ = b, then

$\frac{dy}{dx}$ = $\frac{dy}{dt}$ ÷ $\frac{dx}{dt}$ = $\frac{a}{b}$

∵ y = x² + 1

- Use the differentiation to find $\frac{dy}{dx}$

∴ $\frac{dy}{dx}$ = 2x

∵ x = -1

- Substitute x by -1 in $\frac{dy}{dx}$

∴ $\frac{dy}{dx}$ = 2(-1)

∴ $\frac{dy}{dx}$ = -2

∵ $\frac{dy}{dt}$ = $\frac{dy}{dx}$ × $\frac{dx}{dt}$

∵ $\frac{dx}{dt}$ = 2 cm/s

∴ $\frac{dy}{dt}$ = (-2) × (2)

∴ $\frac{dy}{dt}$ = - 4 cm/s

8 0

3 years ago

Solve system of equations: 4l + 8m = 40 5l + 2m = 28 Please show steps!

ziro4ka [17]

Answer:

l = 9/2 or 4.5

m = 11/4 or 2.75

Step-by-step explanation:

4l + 8m = 40

8m = 40 - 4I

m = 5 - 0.5l

5l + 2m = 28

5l + 2(5 - 0.5l) = 28

5l + (10 - l) = 28

4l + 10 = 28

4l = 18

l = 18/4 or 9/2

l = 4.5

4l + 8m = 40

4(4.5) + 8m = 40

18 + 8m = 40

8m + 18 = 40

8m = 22

m = 22/8

m = 2.75

3 0

3 years ago

Write and solve an equation to find the value of x and the missing angle measures​

Write and solve an equation to find the value of x and the missing angle measures