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kifflom [539]
2 years ago
14

If c is between a and b then ac=cb choices: sometimes, never, always

Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

we know that

If C is between A and B

then

AB=AC+CB

<u>Examples</u>

<u>N 1</u>

Let

AB=10\ units \\AC=5\ units

Find the value of CB

substitute in the equation above

AB=AC+CB

10=5+CB

CB=5\ units

in this case

AC=CB

<u>N 2</u>

Let

AB=10\ units \\AC=8\ units

Find the value of CB

substitute in the equation above

AB=AC+CB

10=8+CB

CB=2\ units

in this case

AC\neq CB

therefore

<u>the answer is</u>

sometimes

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lina2011 [118]

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

  • Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
4 0
3 years ago
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Graph y-3 = 1/2 (x+2)
jenyasd209 [6]

Answer:

Step-by-step explanation:

first solve for y=mx+ b format

y-3= 1/2(x+2)

y-3= 1/2x+1

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8 0
3 years ago
Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the origina
Over [174]

Answer:

\large \boxed{\$9.00}

Step-by-step explanation:

Let p = the original price of the ticket

\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was $\large \boxed{\mathbf{\$9.00}}$}

Check:

\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}

OK.

7 0
2 years ago
Which of the following functions best describes this graph?​
jok3333 [9.3K]
<h3>Answer: Choice C</h3>

Explanation:

The x intercepts or roots are x = 3 and x = 5, which lead to the factors x-3 and x-5 respectively.

Multiplying out those factors gets us this:

(x-3)(x-5)

x(x-5)-3(x-5)

x^2-5x-3x+15

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8 0
2 years ago
Jason buys three shirts with a listed price of $20 each. Jason uses a coupon that provides "Buy Two, Get One Free". What is the
Temka [501]

Given:

Jason buys three shirts with a listed price of $20 each.

He uses a coupon that provides "Buy Two, Get One Free".

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The total final price Jason pays.

Solution:

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Since he uses a coupon that provides "Buy Two, Get One Free", therefore he need to pay for 2 shirts and 1 he will get free.

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Cost of 2 shirts = 2 × $20

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Therefore, total final price Jason pays is $40.

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2 years ago
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