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Zolol [24]
3 years ago
9

Find the measure of x, y, and z. Enter your answer as a number, rounded to the nearest tenth if needed.

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

x = 6.

y = 6.7.

z = 13.4.

Step-by-step explanation:

The 2 triangles contained in the biggest one are similar, so:

x/12 = 3/x

x^2 = 36

x = 6.

Applying the Pythagoras theorem:

z^2 = 6^2 + 12^2

z^2 = 36 + 144 = 180

z = 13.4.

y^2 = x^2 + 3^2

= 36 + 9

= 45

y = 6.7

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Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been
koban [17]

Asa has 15 dimes and 32 quarters.

Step-by-step explanation:

Given,

Total coins = 47

Worth of coins = $9.50 = 9.50*100 = 950 cents

1 dime = 10 cents

1 quarter = 25 cents

Let,

Number of dimes = x

Number of quarters = y

According to given statement;

x+y=47      Eqn 1

10x+25y=950   Eqn 2

Multiplying Eqn 1 by 10

10(x+y=47)\\10x+10y=470\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y)=950-470\\10x+25y-10x-10y=480\\15y=480

Dividing both sides by 15

\frac{15y}{15}=\frac{480}{15}\\y=32

Putting y=32 in Eqn 1

x+32=47\\x=47-32\\x=15

Asa has 15 dimes and 32 quarters.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

7 0
3 years ago
Please help brainliest to correct answer
jekas [21]
The first one is -4 and the second one is 6.
7 0
3 years ago
Read 2 more answers
A standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom sid
denis-greek [22]
<h3>Answer:  5</h3>

Explanation:

This is something you could do by trial and error.

The visible numbers are 1,2,3,4,6 which multiply to 144.

Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.

Every other number 1,2,3,4,6 is a factor of 144.

1*144 = 144

2*72 = 144

3*48 = 144

4*36 = 144

6*24 = 144

8 0
2 years ago
Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two
Nadusha1986 [10]

Answer:

When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help

4 0
3 years ago
Read 2 more answers
What is standard form?
Katen [24]

Hey there! :)

When teachers ask you for the standard form in math, they are asking you to find the simplest form an equation with variables can be in.

Ax + By = C

Example : put y=2x -3 into standard form.

Subtract 2x from both sides.

-2x + y = -3 —> standard form.

Hope this helped! :)

7 0
3 years ago
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