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uysha [10]
2 years ago
15

Find the value of x for the question.​

Mathematics
2 answers:
nadya68 [22]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:

15x = 16x - 5

Now that we have an equation, we can solve for x.

First, we subtract 15x from both sides. Now we're left with an equation that should look like this:

0 = x - 5

Now we add 5 to both sides to get our solution. It should look like this.

5 = x

And there's your answer! Hope this helps.

lakkis [162]2 years ago
6 0

Answer:

5

Step-by-step explanation:

Both angles together will equal as they are opposite of each other

therefore

15x=16x-5

15x+5=16x

5=x

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James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
What would be the dimensions for the poster at 1/4 times it’s current size
iVinArrow [24]

Answer:

D. Length = 9 cm; width = 6 cm

Step-by-step explanation:

Find 1/4 of the length and 1/4 of the width.

1/4 * 36 cm = 9 cm

1/4 * 24 cm = 6 cm

Answer: D. Length = 9 cm; width = 6 cm

6 0
3 years ago
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