MATHEMATICS HIGH SCHOOL

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.
a. x = 8, y = 17
b. x = 6, y = 8
c. x = 8, y = 10
d. x = 8, y = 6
Find values of x and y for which ABCD must - 1

Answers

Answer 1
Answer: The answer is d. 

3x-14 = x-2     solve for x

4y-7 = y+11    solve for y
Answer 2
Answer: 3x-14=x+2
Add 14 to both sides.
3x=x+16
Subtract x from both sides.
2x=16
Divide by 2.
x=8

4y-7=y+11
Add 7 to both sides.
4y=y+18
Subtract y from both sides.
3y=18
Divide by 3.
y=6

The answer is d.

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A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the bag.What is the probability that the marble drawn will not be blue?

A. 2/9

B. 3/4

C. 7/9

D. 7/8

Answers

Probability of anything =

     (number of possible successful outcomes)
divided by
     (total possible number of outcomes) .

There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.

The successful outcomes are all the possible draws that are
not blue.    There are 28 of those.

So the probability of a non-blue selection is 

         28/36  =  7/9  =  77.8%  (rounded)

Answer:

It is indeed 7/9

To prove, I took the test with the answer 7/9, and took a screenshot.

Anyways, hope this helps, and have a great day

The distance between the school and the house of a student living in a village is 2km 125m. Every day he covers the distance both ways by walking. Find the total distance covered by him in 4 days.

Answers

Answer:

17,000m

or 7 km

Step-by-step explanation:

distance covered in 4 days = total distance x 2 x 4 days

convert the total distance to meters

(1000m x 2) + 125 = 2125m

total distance = 2125 x 2 x 4 = 17,000m or 7km

The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?10 friends at a cookout
the first 30 people leaving the local hamburger stand
a random group of 40 people on the street
a random group of 5 people at a grocery store

Answers

Answer:

c, or 40

Step-by-step explanation:

edge test

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Answers

Let y be the number of strength-training exercises per week.
Let x be the number of aerobic exercises per week.
For the beginner plan:
15y + 20x = 90 ..........(1)
For the advanced plan:
20y + 30x = 130 ........(2)
Multiply both sides of (1) by 3 to get:
45y + 60x = 270 ........(3)
Multiply both sides of (2) by2 to get:
40y + 60x = 260 .......(4)
Subtracting (4) from (3) we get:
5y = 10
y = 2
Plugging in the value of 2 for y in equation and solving, we find x = 3.
Therefore the correct statement is:
"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week." 

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

How to Solve Algebra Word Problems?

Let y be the number of strength-training exercises per week.

Let x be the number of aerobic exercises per week.

For the beginner plan, the equation would be gotten as;

15y + 20x = 90  ------(eq 1)

The equation to represent the advanced plan would be;

20y + 30x = 130   -------(eq 2)

Multiply both sides of eq 1 by 4 to get:

60y + 80x = 360 ------(eq 3)

Multiply both sides of eq 2 by 3 to get:

60y + 90x = 390   ------(eq 4)

Subtract  eq(3) from eq(4) we get:

10x = 30

Thus; x = 3

Then; 15y + 20(3) = 90

15y = 30

y = 2

Thus, the correct statement is:

"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week."

Read more about Algebra Word Problems at; brainly.com/question/4344214

#SPJ5

On Monday, you were able to spell two of your spelling words correctly. On Tuesday, you were able to spell four of your spelling words correctly, which was double the amount you spelled correctly the day before. If each day this week, you double the number of spelling words you can spell correctly, which expression represents the number of words you can spell correctly on Friday?5^2
2 × 5
2^5
2^4

Answers

Answer: 2^5

Step-by-step explanation:

Formula: 2*x - For everyday

2*2 - Monday

4*2 - Tuesday

8*2 - Wednesday

16*2 - Thursday

So for Friday you can spell 32 words which is 2^5

Answer: The correct answer is 2^5.

Step-by-step explanation:

The number of words is 32. Mark brainliest please. Please and thank you.

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Answers

x< -7

The graph is attached here in.
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