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Natalka [10]
3 years ago
13

What is the answer, she explanation pls

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer: OPTION D.

Step-by-step explanation:

First, it is important to know the definition of "Chord"  and "Arcs" in circles.

A Chord is defined as a segment that joins any two points of a circle.

An Arc is defined as portion of the circumference of a circle.

By definition:

1) If two chords of a circle are congruent (which means that they have equal measure), then their intercepted Arcs are also congruent.

2) If the Arcs are congruent, then they have congruent chords.

In this case, you know that the <em>Arc GH</em> and the <em>Arc JK</em> are congruent. Therefore, you can conclude that the <em>Chord GH</em> and the <em>Chord JK</em> are also congruent.

Then, knowing that:

GH=9\ units

You can determine that:

JK=9\ units

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How can systems of linear equations be used in real life?
TiliK225 [7]

Answer:

Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.

Step-by-step explanation:

Hope it is helpful....

4 0
3 years ago
(-x²+9) + (-3x²-11x+4)
Maslowich

Answer:

=-4x^2-11x+13

Step-by-step explanation:

6 0
3 years ago
HELP!!
Sergio [31]
It would end up being 2 dollars and 45 cents
6 0
3 years ago
Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by
USPshnik [31]

Answer:

11 weeks

Step-by-step explanation:

First we need to check what variables we have.

Beginning Balance = $1000

Goal = $350

Withdrawal = $55 per week

Now let's declare a variable as the number of weeks.

Let x  = number of weeks

1000 - 55x = 350

-55x = 350-1000

-55x = -650

Then we divide both sides by -55 to find the value of x.

x = 11.81 or 11 since we're looking for how many weeks in total

Now let's see if we still have 350 if we have a total of 11 as the value of x.

1000 - 55(11) = 350

1000 - 605 = 350

395 = 350

We can see that Kendall will have $395 compared to the $350 goal.

So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.

6 0
3 years ago
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
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