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? A. When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent. B. When a pair of parallel lines are intersected by a third line, the alternate interior angles are acute. C. When a pair of parallel lines are intersected by a third line, all of the angles formed are obtuse. D. When a pair of parallel lines are intersected by a third line, all of the angles formed are congruent.

The only correct statement among the choices is:

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

This statement can actually be proven by measuring the angles of the alternate interior angles. We can actually see that they have equal measurements. While the adjacent interior angles are supplementary angles.

six times the reciprocal of a number equals 2 times the reciprocal of 6. find the number.

tenesa bought a 50 pound bag of flour for her bakery. she used 13.65 pounds of flour. how many pounds of flour are left in the bag?

At the beginning of the year Jason had $80 in his savings account. Each month he added $15 to his account. Write in expression for the amount of money and Jason saving account each month. Then use the expression to find the amount of money in his account at the end of the year

Find an equation of the line that satisfies the given conditions. through (−5, −13); perpendicular to the line passing through (−2, −1) and (2, −3)

Factor polynomial 2x^2-11x+15

How can you use distance and slope formulas to classify quadrilaterals?

A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.

Multiply. (−4−7i)(3−5i)

***PLEASE HELP*** ***50 POINTS***
Construct a system of two linear equations where (−2, 3) is a solution to the first equation but not to the second equation, and where (5, −2) is the solution to your system.

You need to write the equations of your system and graph them on the same graph.

Explain how your graph shows that your system satisfies the 2 required conditions.

A radio station plays 3 1/2 minutes of commercials every 1/4 hour. At this rate, how many minutes of commercials does this radio station play in one hour?

Find the equation in standard form of the line with slope − 4 7 -47 that passes through the point ( 2 , 5 ) (2,5)

If 40% of a given number is 8, then what is 15% of the given number?

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function? It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable. It is nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1

(A.) {(-8, -12)}
(B.) {(3, 2)}
(C.) {(-4, 6)}

Plz answer ASAPPP tyyy

Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm}​3​​1​​ cmstart fraction, 1, divided by, 3, end fraction, space, c, m per hour.what was the depth of the snow on cherry street after 333 hours?

HIJK is a rectangle. Find the value of x and the length of each diagonal. HJ=x and IK= 2x-7

A dime has the same value as 10 pennies.Marley bought 290 pennies to the bank.How many dimes did Marley get

If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer

Assume that the set s has 8 elements. how many subsets of s have at most 2 elements?

How many 3 digit positive integers are odd and do not contain the digit 5?

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is g (h ( 24 ) ) ?

Sam's bedroom has a perimeter of 46 feet. If the length of the bedroom is 11 feet, what is the width of the bedroom?

Which expression means 7 more than a number?


A.


d × 7


B.


d + 7


C.


d ÷ 7


D.


d – 7

A cab charges 1.45 for the flat fee and 0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has 35 dollars to spend

Two angles are supplementary. one angle measures 12 degrees less than 5 times the other. find the measure of each angle

Solve 10x-3=6x+85 give a reason to justify each statement

Morgan needs gas for her jeep, which gets 26 miles per gallon for gas mileage. When she stops at the gas station, she already has 10 gallons of gas in her tank. She buys more gas for $1.60 per gallon. If Morgan spends $21 on gas, what is the total distance she could travel? Round, if necessary, to the nearest tenth.

@spongebobdid91

True?

a model rocket is 3 inches long. the real rocket is 120 feet long. what is the unit rate that describes the relationship of the real rocket to the model rocket? a.360 ​ ft/in. ​ b.360 ​ in./ft ​ c.40 in./ft d.40 ft/in.