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LiRa [457]
4 years ago
6

Given ∠A and ∠B are vertical angles with m∠A=10x+5 and m∠B=15x−10 .

Mathematics
1 answer:
earnstyle [38]4 years ago
3 0
10x + 5= 15x - 10

5= 5x - 10

15 = 5x
divide both sides by 5

x = 3
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The length of a 1-inch paperclip is about 1.6 x 10−5 miles. It takes about 1.5 x 1010 paperclips linked together to reach the mo
son4ous [18]

Answer:

Distance from the moon is 2.4 × 10⁵ miles

Step-by-step explanation:

Length of 1-inch paperclip = 1.6\times 10^{-5} miles

Number of paperclips used to reach the moon = 1.5 × 10¹⁰

Total distance from the moon = Number of paper clips used × Length of one clip

= (1.5 × 10¹⁰) × (1.6 × 10⁻5)

= (1.5 × 1.6) (10¹⁰× 10⁻⁵)

= 2.4 × 10⁽¹⁰⁻⁵⁾ miles

= 2.4 × 10⁵ miles

Distance from the moon is 2.4 × 10⁵ miles.

5 0
3 years ago
What would be the result if a was increased by 25 percent
zloy xaker [14]

Answer: formula - (x/4)+x

Step-by-step explanation:

Since there are no numbers, here is just the formula and what it means :)

(x/4)+x

(btw x is whatever your number is)

so what you need to do first is to divide your number by 4 because 25% is 1/4 of 100%

and then add that number that you just got to your number.

Its a little confusing to say out in words, so here is an example using 24

24/4=6

24+6=30

and heres another example using 50

50/4=12.5

50+12.5=62.5

I hope this helped! <3

6 0
3 years ago
A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds.A large bag contains 41/2 cups of dried fruit and
Juliette [100K]
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

\left \{ {{3f + 4a = 6} \atop {41/2 f + 6a = 9 }} \right.

Solve for a in first equation:
a = (6 - 3f) / 4

Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0

Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
   = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>

3 0
3 years ago
Jose drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Jose drove h
DENIUS [597]

Answer:

88 miles

Step-by-step explanation:

Since Jose took 4 hours at the rate of 22 mph to get from the mountains to his house without any obstacles(traffic), you need to multiply the hours Jose took by his speed.

4 x 22 = 88

8 0
3 years ago
The surface area of the Pacific Ocean is approximately 62,460,000 million square miles. What is this number
Alexandra [31]

The surface area of the Pacific Ocean is approximately 62,460,000 million square miles which is 6.246 * 10¹³ miles² in scientific notation.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of the Pacific Ocean is approximately 62,460,000 million square miles which is 6.246 * 10¹³ miles² in scientific notation.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

5 0
2 years ago
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