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Anuta_ua [19.1K]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0

Answer:

x = 28

Step-by-step explanation:

Triangle ABP and triangle CDR are similar.  Thus, we can solve this problem for x using an equation of proportions:

hypotenuse     leg length

    15+42               10+x

----------------     =   ----------

       42                     x

Then (15+42)x  =  42(10+x) after cross multiplication

      57x            =  420 + 42x

Subtracting 42x from both sides, we get

      15x             =    420.

Dividing both sides by 15 results in

        x               =   28

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Answer:

4,760

Step-by-step explanation:

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A store had 300 empty shelves. Each shelf could hold 20 cans. What is the total number of cans the shelves could hold?
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ANSWER QUICK!!! IM TAKING A TEST AND I WILL MARK BRAINLIEST!!!
gtnhenbr [62]

Answer:

C = 5Q

Step-by-step explanation:

C = Length of Cloth in Meters (C)

Q = Number of Quilts Made (Q)

C = 5Q

Change C for the numbers under (Length of Cloth in Meters (C))
Nad change Q for the numbers under (Number of Quilts Made (Q))

So the new equations would be:

0 = 5(0) --------->  0 = 0

5 = 5(1) ---------> 5 = 5

10 = 5(2) ---------> 10 = 10

15 = 5(3) ---------> 15 = 15

20 = 5(4) ---------> 20 = 20

25 = 5(5) ---------> 25 = 25

So the only option that amkes sense is (C = 5Q)

3 0
3 years ago
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​
sergiy2304 [10]

Answer:

76

2 real solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

  • Positive - 2 solutions
  • Equal to 0 - 1 solution
  • Negative - No solutions/Imaginary

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 6x - 10 = 0

<u>Step 2: Identify Variables</u>

<em>Compare quadratic.</em>

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

<u>Step 3: Find Discriminant</u>

  1. Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)
  2. [Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)
  3. [Discriminant] Multiply:                                                                                    36 + 40
  4. [Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.

8 0
3 years ago
Which of the following would be appropriate to measure in centimeters? the distance between Philadelphia and New York City, the
iren [92.7K]

To measure the length or height of something which is a little smaller we prefer to use centimeters.

Lets look at each of the options one by one.

1. Distance between Philadelphia and New York , it is roughly about 94.1 miles which will be way too big of a number if converted in to centimeters (it will be 15000000 cm).

2. Length of a paperclip, this is something that is a considerable length and can be measured in centimeters. Usually a paper clip measures around 3-4 centimeters.

3. Height of a standard ceiling, while constructing something we measure height or length or the width of a floor in feet.

4. Yearly increase in a child's height, that can be measured in centimeters but often we use inches.

5. Width of a swimming pool is also conventionally measured in feet.

So, it is the length of a paperclip and the yearly increase in a height of a child are two things that can be measured in centimeters.

8 0
3 years ago
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