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Nina [5.8K]
3 years ago
12

Vertical angles are congruent.

Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

Angle x is 38.

Step-by-step explanation:

If its congruent it means it is equal. Vertical angles are equal to each other.

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Multiplying and Dividing Integers<br><br> (-8) x (-6) =
snow_tiger [21]

Answer:

Positive 48 or 48

Step-by-step explanation: When we multiply a negative by a negative, it ends up being a positive. -8 x -6=48

4 0
3 years ago
How many tens are in 120,000
Marina CMI [18]
12000
Just do 
120000 divided by 10
8 0
3 years ago
Read 2 more answers
Grant pays 10 cents per minute plus $5 per month for telephone long distance. Write an algebraic expression for m minutes of lon
dolphi86 [110]
The question is asking for the amount of minutes Grant can possibly use in a month. So to <span>algebraically express this, the equation, </span>0.10 m+5=$ sums it up.
5 0
3 years ago
Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

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5 0
3 years ago
One half liter of lemonade concentrate is added to 3 liters of water. how many one thirds liter servings of lemonade are made.
uysha [10]
So, 3 liters of water, add 1/2 liter of lemonade, that's 3 and 1/2 liters of lemonade.

so in short, how  many times does 1/3 go into 3 and 1/2?

let's change the mixed to "improper" and divide then.

\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{\quad \frac{7}{2}\quad }{\frac{1}{3}}\implies \cfrac{7}{2}\cdot \cfrac{3}{1}\implies \cfrac{21}{2}\implies 10\frac{1}{2}
8 0
3 years ago
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