MATHEMATICS HIGH SCHOOL

The diagram shows two parallel lines a andb cut by transversal lines.
Part A
What is an equation that can be used to
solve for x?
Part B
What is the value of x?

Answers

Answer 1

Answer:

Answer:

y = 180 - (36 + 65)

x = 69

Step-by-step explanation:

Answer 2

Answer:

Final answer:

To solve for x in the given diagram of parallel lines cut by a transversal, use the concept of corresponding angles. The value of x is 60°.

Explanation:

Part A: To solve for x, we can use the corresponding angles formed by the transversal and the parallel lines. One of the corresponding angles is x + 60°. Since the other corresponding angle is 120°, we can set up the equation x + 60° = 120°. Solving for x, we find that x = 60°.

Part B: The value of x is 60°.

Learn more about parallel lines here:

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Jan Quint earns $11.00 an hour at her job and is entitled to time-and-a-half for overtime, and double time on holidays. Last week she worked 40 hours of regular time, 9 hours of overtime, and 12 hours of holiday time. How much did she earn last week?A. $720.50
B. $612.00
C. $852.50
D. $803.00
Please explain the answer..

Answers

time and a half mean
example, if he work for 1 hour normal, then he get 1 hour pay
but time and a half, is if he works 1 hour overitme, he gets paid for 1.5 time
double time is work 1 hour, get paid 2 hours

basically, multiply all normal hours by 1, multpliy al overtime hours by 1.5 and multiply al holiday hours by 2

40 hours normal
9 hours overtime
12 hours holidy
40*1=40
9*1.5=13.5
12*3=24
add up
40+13.5+24=77.5 hours counted

now 11 per our
11 times 77.5=852.50

C is answer

In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x will make it a rhombus?14
2
7
12

Answers

In a rhombus, all sides are equal.

So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is

$MN=ON$

Adding 3x to both sides and addinf 7 to both sides

$7x = 14$

Now we need to get rid of 7 and for that we do division, that is

$(7x)/(7) = (14)/(7)$

$x=2$

Correct option is the second option .

Shown are lines p , r , t , and w. Suppose angles 8 and 10 are congruent. Given this fact, which two line must be congruent? Show all work to receive credit.

Answers

Answer:

lines t and w must be parallel

Step-by-step explanation:

Angles 8 and 10 are alternate interior angles with respect to transversal r across lines t and w. If those angles are congruent, then lines t and w must be parallel.

A round Barbecue Pit is 2 meters in diameter what is the distance around the barbecue pit

Answers

I don't understand what you are asking

The amount $180.00 is what percent greater than $135.00? A. 33.33% B. 25% C. 133.33% D. 35%

Answers

the answer is A. 33.33%

Find an equation of a line through √3,1 / 2) parallel to the line:a. x = −9
b. y = −√7
c. What can you conclude about your answer in parts (a) and (b)?

Answers

Answer:

(a) $x=√(3)$

(b) $y=(1)/(2)$

(c) Answer of part a is equation of line $x=√(3)$ which is parallel to y axis and in part by equation of line is $y=(1)/(2)$ which is parallel to x axis

Step-by-step explanation:

We have given points are $(√(3),(1)/(2))$

(a) Equation of line is given x = -9

We have to find the equation of line parallel to x= -9 and passing through $(√(3),(1)/(2))$

x = -9 line is parallel to y axis and so slope will be infinite

Equation of line is given by $y-y_1=m(x-x_1)$

So $y-(1)/(2)=(1)/(0)(x-√(3))$

$x=√(3)$

(b) Equation of line is given $y=-√(7)$

This line is parallel to x axis so slope will be zero

So equation of line will be $y-(1)/(2)=0(x-√(3))$

$y=(1)/(2)$

(c) Answer of part a is equation of line $x=√(3)$ which is parallel to y axis and in part by equation of line is $y=(1)/(2)$ which is parallel to x axis

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