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polet [3.4K]
2 years ago
14

Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the lengt

h of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11
Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)

<h3>What is a line segment?</h3>

In Mathematics, a Line Segment is a part of a line that has two endpoints.

The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.

<h3>What is the Step by Step solution to the above problem?</h3>

Step 1

Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.

That is: RV/VS = RT/TQ.

Step 2 - replace the segments by the relevant equations

(X + 4)/(X- 3) = (X+10)/(X)

Step 3 - Cross Multiply

 x(x +4) = (x -3)(x +10)

Removing the parentheses, we have

 X² +4X = X² +7X -30; Subtract X² from both sides and we have;

4X = 7X - 30

<h3>Step 3 - Collect like terms by cross multiplying</h3>

-3X = -30 or

3X = 30

Divide both sides by three and we have:

X = 10

Learn  more about line segments at;
brainly.com/question/14366932
#SPJ4

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For the dinner special at a restaurant, the customer must choose an appetizer, a salad, an entree, a side dish, and a dessert. H
Ostrovityanka [42]

Answer:

The number of possible dinner specials are 4368.

Step-by-step explanation:

The number of dinner specials = 5

They include appetizer, a salad, an entree, a side dish, and a dessert.

Possible items to choose from = 16.

They are 1. Appetizer Chicken strips, 2. Shrimp cocktail, 3. Buffalo wings, 4. Potato skins, 5. Salad Garden, 6. Caesar Entree T-bone steak, 7. Pot roast, 8. Lamb Side dish Corn, 9. Rice, 10. French fries, 11. Baked potato, 12. Pinto beans, 13. Dessert Chocolate cake, 14. Brownies, 15. Ice cream, 16. Apple pie

This is a combination problem requiring a combination solution with the following formula and steps:

C (n, r) =? C (n, r) = ?

n choose r

n (objects) =  16

r (sample) =  5

C (n, r) =? C (n, r) = ?

C (n, r) =C (14,5) C (n, r) =C (16,5)

=16! (5! (16−5)!) =16! (5! (16−5)!)

= 4368

3 0
2 years ago
if a car traveling at 100 m/s must slam on the brakes to avoid hitting a raccoon and it takes 4 seconds for the car to slow down
rusak2 [61]

1.)

Velocity is in m/s, and acceleration is in m/s^2 like you said. Because of this, we can calculate this by dividing the speed by the time it took to get to that speed.

(20 meters/second) / 10 seconds = 2 meters/ second^2

2.)

Same thing with the first one.

(100 meters/second) / 4 seconds = 25 meters / seconds^2

3 0
2 years ago
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fredd [130]

Answer:

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Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025?
nekit [7.7K]

The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month, so the correct option is A.

<h2><u>How to determine the amount using the standard 28/36 guides?</u></h2>

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025, the following calculation must be made:

  • ((73025 x 36) / 100) / 12 = X
  • (2,628,900 / 100) / 12 = X
  • 26,289 / 12 = X
  • 2,190.75 = X

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

Learn more about mortgages in brainly.com/question/20589209

4 0
2 years ago
M=
alex41 [277]
50. Slope- -1
Y intercept- (0,7)

51. Slope- -1/3
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5 0
2 years ago
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