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2 years ago

If side 1 is 13, side 2 is 12, and side 3 is 18, can a triangle be made?

Mathematics

1 answer:

9966 [12]2 years ago

8 0

Answer:

Step-by-step explanation:

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Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y =

gladu [14]

The values of x are 2 and -1.

Solving the equation created by substitution listed in the question:

-2x+14=x²-3x+12

Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12

Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2

Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)

Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2

x+1=0
x+1-1=0-1
x=-1

4 0

3 years ago

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For a new neighborhood, 1.4 acres of land will be split into 8 lots. How many acres of land

Iteru [2.4K]

Answer:

0.175

Step-by-step explanation:

8/1.4 = 0.175 which is how many each will have

5 0

2 years ago

Ray CE is the angle bisector of ACD. Which statement about the figure must be true?

Viefleur [7K]

we know that

"Bisect" means to divide into two equal parts

If the ray CE is the angle bisector of ADC

then

$Angle(ACD)=Angle(ACE)+Angle(ECD)$

$Angle(ACE)=Angle(ECD)$

$Angle(ACD)=2Angle(ACE)$

$Angle(ACE)=\frac{1}{2} Angle(ACD)$

therefore

<u>the answer is the option</u>

$Angle(ACE)=\frac{1}{2} Angle(ACD)$

$Angle(ACE)=Angle(ECD)$

7 0

3 years ago

Read 2 more answers

Your employer pays 75% of your health insurance premium. If the annual premium is $2530, and you are paid weekly, how much is de

MAVERICK [17]

** Calculation is based on 52 weeks per year.

$\smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile$

$\boxed {Annual \ Premium \ = \$2530}$

Your employer is paying 75% of the Premium:
$\boxed {75\% \ of \ \$2530 \ = \ 0.75 \times 2530\ = \ \$1897.50}$

Amount you need to pay:
$\boxed { \$2530 - \$1897.50 = \$632.50}$

Amount needed to be deducted weekly from paycheck:
$\boxed{ \$632.50 \div \ 52 = \$12.16}$

$\Bigg( \boxed{ \boxed {Ans: \$12.16 }} \Bigg)$

5 0

3 years ago

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The radius of a circle is 8 what is the area of the circle? pls show work

topjm [15]

Answer:

201.06

Step-by-step explanation:

A=πr2=π·82≈201.06193

4 0

3 years ago

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