Philip played a board game, and he drew 4 straight cards that read, “Go back 8 spaces.” What is the change in Philip’s position on the game board?

Answers

Answer 1

Answer:

The change in Philip's position on the game board is 32 spaces backward.

What is the change in Philip’s position on the game board?

Each card says, "Go back 8 spaces," so for each card drawn, Philip moves back 8 spaces on the game board. Since he drew 4 cards, we can calculate the total change in his position as follows:

Change in position = Number of cards drawn * Spaces moved back for each card

Change in position = 4 * 8

Change in position = 32

So, the change in Philip's position on the game board is 32 spaces backward.

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Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?

Answers

GivenSituation: Theresa worked 9 hours on Monday and 7 hours on Wednesday.
=> First let’s add the total amount of hours Theresa rendered.
=> 9 + 7 = 16 hours in total
Her total pay was $116.00. What is her rate per hour?
=> Let’s solve for the unit rate:
=> 16 hours for 116 dollars.
Let’s find x dollars / hour
=> 116 dollars / 16 hours = 7.25 dollars / hour.
Thus, she is paid 7.25 dollars every hour she do her work

If you would like to know what is her rate per hour, you can calculate this using the following steps:

9 hours on Monday + 7 hours on Wednesday = 9 + 7 = 16 hours

$116.00 / 16 hours = 116.00 / 16 = $7.25

The correct result would be $7.25.

4. Classify the triangle by its sides. The lengths of the sides are 9, 9, and 9.A) equilateral
B) scalene
C) obtuse
D) isosceles

7. Line a is parallel to line b and m.(Angle 7 ) = 135 Find m(angle 4)
A) 135
B) 145
C) 45
D) 35

8. Find the values of x and y for which the lines are parallel.
A) x = 68, y = 72
B) x = 46, y = 72
C) x = 68, y = 74
D) x = 72, y = 68

11.Look at the figure. If Angle 1 Is Congruent To angle 2 , describe the relationship between lines a and b.
A) The lines are perpendicular.
B) The lines are parallel.
C) The lines intersect.
D) The lines are transversals.

12. Find the value of x for which the lines are parallel.
A) 63
B) 71
C) 64
D) 72

Answers

Answer:

4. Option A is correct.

7. Option C is correct.

8. Option A is correct.

11. Option B is correct.

12. Option C is correct

Step-by-step explanation:

The sides of equilateral triangle are same.

It is given that lengths of the sides are 9, 9, and 9.

Since the side lengths are same, therefore the given triangle is an equilateral triangle.

Option A is correct.

It is given that the line a is parallel to line b and the measure of angle 7 is 135 degree.

$\angle 6+\angle 7=180^(\circ)$ (Supplementary angles)

$\angle 6+135^(\circ)=180^(\circ)$

$\angle 6=45^(\circ)$

$\angle 4=\angle 6$ (Alternative interior angles)

$\angle 4=45^(\circ)$

Option C is correct.

$x-3=65$ (Corresponding angles)

$x=68$

$46+65+y-3=180$ (Supplementary angles)

$y=72$

Option A is correct.

11.

If a transversal line intersect two lines are parallel lines, then their corresponding angles are same.

It is given that

$\angle 1=\angle 2$

Since angle 1 and 2 are corresponding angles, therefore we can say that the lines a and b are parallel.

Option B is correct.

12.

$x-1=63$ (Corresponding angles)

$x=64$

Option C is correct.

The answer to #4 is A equilateral because all the sides are the same. the sides are equal.
# 7 would be c, 45 you have to make sure the sum is 180 #8 is B the same goes for that on fill in x and y. #11 isD And # 12 is c the sum must be 180.

Fifty is what percent of 40?A.

20%

B.

80%

C.

110%

D.

125%

Answers

the answer is A= 20.

Three-fourths is
and
1 and one-half is
.

Answers

Answer:

3/4 + 1/2 = 5/4 or 1 and 1/4

Step-by-step explanation:

Find a common denominator for the two fractions. 1/2 becomes 2/4 because you are multiplying top and bottom by 2 to get 4 since 3/4 already has 4.

Now it becomes 3/4 + 2/4. Add the numerators and keep the denominator. You get 5/4. To get a mixed number, divide 5 by 4. Four goes in once, and leaves a remainder of 1. Keep your original denominator and write 1 and 1/4.

Simplify the polynomial (3a^2+4a+25) - (2a^2+4a-5)

Answers

Answer:

The polynomial simplified would be a^2 + 30

I hope this helps you:))

P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.

1. Given ΔQRS (is congruent to) ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV. Provide a detailed response below, please. I was not provided with a picture, unfortunately.

Answers

Because ΔQRS is congruent to ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6

Work:
3v + 2 = 7v - 6
+6 +6
3v + 8=7v
-3v -3v
8 = 4v
4 4
2 = v

3(2) + 2 = GS
6+2 = GS
8 = GS

7(2) - 6 = TV
14-6=TV
8 = TV

Final Answer: 8=QS and 8=TV

So, we know the 2 triangles are congruent, that means that all complementary sides are congruent too. Draw out the triangle, make it look equal to each other, and put down the respective names down, IN ORDER, for both triangle. Then, you will see that QS and TV are complementary to each other, meaning they are congruent to each other. So, we can set their two equation equal to each other. Equation: 3v + 2 = 7v - 6. Now it's all algebra, solve for v, you should get 2. Now, we plug it back in for one of the equations (either one is fine because they are congruent to each other already), you should get 8 as your answer. I hope this helps!

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