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solong [7]
3 years ago
5

Mei draws three pairs of parallel lines that are each intersected by a third line. In each figure, she measures a pair of angles

.
What is a reasonable conjecture for Mei to make by recognizing a pattern and using inductive reasoning?


When a pair of parallel lines are intersected by a third line, the alternate interior angles are acute.

When a pair of parallel lines are intersected by a third line, all of the angles formed are obtuse.

When a pair of parallel lines are intersected by a third line, all of the angles formed are congruent.

When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

The correct answer is When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.


Step-by-step explanation:

I just took the test.

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Which of the following shows 15 more than a number, written as an algebraic expression?
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\large\boxed{15+n}

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Read 2 more answers
What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

7 0
2 years ago
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