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3 years ago

Use what you already know to find a, b, and c.

Mathematics

1 answer:

Valentin [98]3 years ago

8 0

Answer:

Use the "find vertically opposite angle" method.

a = 80°

To find the other angles:

Since the angles equal up to 360 which makes a full circle shape...

360 - 80 - 80 = 200 (B and C)

200 ÷ 2 = 100 (Angle for B and C since they are vertically opposite, hence having the same angle)

b = 100°

c = 100°

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sergejj [24]

-1(7+4b) - distribute the -1 to the expression
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No like term to connect

-5x(-3+x)
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2 years ago

Which of the following equations represents a horizontal line through (5,-3)?

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3 years ago

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Which expression is the simplest form of -(4x + y)n + 2(x - 3y)

Marina86 [1]

Answer:

$\boxed{\bold{-4nx-ny+2x-6y}}$

Explanation:

Rewrite:

= $\bold{-n\left(4x+y\right)+2\left(x-3y\right)}$

Expand $\bold{-n\left(4x+y\right): \ -4nx-ny}$

= $\bold{-4nx-ny+2\left(x-3y\right)}$

Expand $\bold{2\left(x-3y\right): \ 2x-6y}$

= $\bold{-4nx-ny+2x-6y}$

Mordancy.

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3 years ago

The fourth-grade class donated 750 bottles of water for a 5K run. After the run, there were 89 bottles left. How many bottles of

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Answer:

The runners drank 661 bottles of water.

Step-by-step explanation:

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1 year ago

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

iVinArrow [24]

I'll use my own formula (similar to yours tho)

$A=P(1+ \frac{r}{n})^{nt}$
A=future amount
p=invested
r=rate in decimal
n=number of times per year compounded
t=time in years

so
when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
and 12%=0.12=r
so

$2P=P(1+ \frac{0.12}{4})^{(4*t)}$
divide both sides by P
$2=(1+ \frac{0.12}{4})^{(4*t)}$
simplify
$2=(1+ 0.03)^{4t}$
$2=(1.03)^{4t}$
take the ln of both sides
$ln(2)=ln(1.03)^{4t}$
$ln(2)=4tln(1.03)$
$ln(2)=t(4ln(1.03))$
divide both sides by 4ln(1.03)
$\frac{ln(2)}{4ln(1.03)}=t$
use calculator
5.86244=t
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3 years ago

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