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Jlenok [28]
2 years ago
5

Rania is playing with her friend Arun, and they are setting up dominoes across the room. Each domino is 2 inches long. They have

already placed 10 dominoes in a row. The room is 10 feet long and they want to know how many more dominoes they can set up before they reach all the way across the room. Does the inequality 2d + 20 < 120 model this situation? Explain why or why not.
Mathematics
1 answer:
gogolik [260]2 years ago
6 0

Answer:

no

Step-by-step explanation:

It should be less then or equal too, seeing as they want to reach all the way across the room.

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&lt;1 and &lt;2 form a linear pair. If m&lt;1= 4m&lt;2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
8 0
3 years ago
How to find the length of the hypotenuse of a line segment?
MakcuM [25]

the hypotenuse may be found by using the Pythagoras theorem
6 0
3 years ago
The perimeter of a right angled triangle is 56 cm and its hypotenuse is 25 cm. Find the area of triangle.​
Daniel [21]
Perimeter = 56
Hypo = 25
So 56-25 = 31 (for two side)
for one side = 31/2 = 15.5

so area = 1/2 x base x height
6 0
3 years ago
How to set up this problem
HACTEHA [7]

Answer:

The son is five years old

Step-by-step explanation:

Let the son's age be x

A man is five as old as his son, 5x

In five years, he would be three times as old as his son

In five years: son would be x+5

Father 5x+5

3(x+5)=5x+5

3x+15=5x+5

Collect like terms

15-5=5x-3x

10=2x

Divide by 2

10/2=2x/2

x=5

The son is five years old

5 0
3 years ago
write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4
VashaNatasha [74]

Answer:

  y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

  y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

  y -8 = -5(x -6)

3 0
3 years ago
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