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1 year ago

I need help with this geometry question asap!

Mathematics

1 answer:

Gnom [1K]1 year ago

8 0

Answer:

(a) Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

<h3>Analysis</h3>

The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).

Theorem 9 applies to congruent alternate interior angles.

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What are the solutions of the quadratic equation?

Oliga [24]

Answer:

d)X=4 or x=-2

Step-by-step explanation:

X²-2x=8

X²-2x-8=0

(x-4)(x+2)=0

X-4=0 or x+2=0

X=4 or x=-2

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1 year ago

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2x (3x5) - (8-3)= what is the answer please

bekas [8.4K]

Answer:

2x15-5=30-5=25 So, the answer is 25.

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2 years ago

A tip of $10 is best for which kind of service?

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B: a valet who parks your car at a restaurant

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2 years ago

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Which of the following ordered pairs is not a solution of the system of inequalities? y > x2 – 4x – 5 y < –x2 – 5x + 6 Que

horrorfan [7]

Answer:

a) (x, y) = (1, 7)

Step-by-step explanation:

Let be the following system of inequalties:

$y > x^{2}-4\cdot x -5$

$y < -x^{2}-5\cdot x +6$

We can find the right option by evaluating each option in the system of inequalities:

a) (x, y) = (1, 7)

$7 > 1^{2}-4\cdot (1) -5$

$7 < -1^{2}-5\cdot (1) +6$

Then,

$7>-8$ (TRUE)

$7$ (FALSE)

(1, 7) is not a solution of the system of inequalities.

b) (x, y) = (1, -7)

$-7 > 1^{2}-4\cdot (1) -5$

$-7 < -1^{2}-5\cdot (1) +6$

Then,

$-7 > - 8$ (TRUE)

$-7< 0$ (TRUE)

(1, -7) is a solution of the system of inequalities.

c) (x, y) = (1, -5)

$-5 > 1^{2}-4\cdot (1) -5$

$-5 < -1^{2}-5\cdot (1) +6$

Then,

$-5 > - 8$ (TRUE)

$-5< 0$ (TRUE)

(1, -5) is a solution of the system of inequalities.

d) (x, y) = (-1, 6)

$6 > (-1)^{2}-4\cdot (-1) -5$

$6$

Then,

$6>0$ (TRUE)

$6 < 12$ (TRUE)

(-1, 6) is a solution of the system of inequalties.

Therefore, we conclude that correct answer is A.

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2 years ago

What is the volume of the following triangular prism?

Greeley [361]

Answer:

Option C. $42\ yd^{3}$

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

$V=BH$

where

B is the area of the triangular base

H is the height of the prism

Convert 9 ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

<em>Find the area of the base B</em>

$B=\frac{1}{2}(3)(4)=6\ yd^{2}$

we have

$H=7\ yd$

substitute the values in the formula

$V=BH$

$V=(6)(7)=42\ yd^{3}$

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2 years ago

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