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11111nata11111 [884]
3 years ago
10

If in a parallelogram, its diagonals bisect each other right angle and are

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

Answer:

(c)Rhombus

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

A rhombus is a parallelogram (that is opposites sides and angles are equal to each other and parallel) with all sides of equal length. The diagonals of a rhombus bisect each other at 90° to form four equal right angled triangles with the sides of the rhombus as the hypotenuse.

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Regina, Phil, and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents th
Vladimir79 [104]

Answer:

Disagree

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money

Step-by-step explanation:

The given expression for the hourly earnings of Regina, Phil and Joseph are as follows;

Regina: 6.50·h + 16

Phil: 3·(2.5·H + 5)

Joseph: 7.50·h + 10

The number of hours worked = h

The hourly earnings for Phil equated to the hourly earnings of Joseph gives;

3·(2.5·H + 5) = 7.50·h + 10

Simplifying we get;

3 × 2.5·h + 3 × 5 = 7.50·h + 10

7.5·h + 15 = 7.50·h + 10

Which gives

15 =  10 + 5 = 10 which is not correct.

Therefore, when both Phil and Joseph works the same number of hours, in the week, Phil will earn 5 units more Joseph

However, we have that, where Joseph works extra 5/7.5 or 2/3 hours more than Phil, every week, they will earn the same amount of money every week.

Therefore, it is possible for Phil and Joseph to earn the same amount of money when Joseph works extra 2/3 hours more than Phil which gives;

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money.

3 0
3 years ago
A hot air balloon goes 350 feet into the air and drifts to the east for 600 feet. How far is the balloon away from its launch po
Kamila [148]

Answer:

950 feet

Step-by-step explanation:

350+600=950

4 0
2 years ago
Does (9,8) make the inequality y < 10×+8 true
ExtremeBDS [4]

Answer:

Yes, the point makes the inequality true

Step-by-step explanation:

y < 10x+8

Substitute x =9 and y=8 into the inequality

8 < 10*9+8

8<90+8

8<98

This is true so the point makes the inequality true

7 0
3 years ago
Read 2 more answers
Which pair is a base and corresponding height for the triangle?
Vikki [24]
<span> B. b = 20 units and h = 16 units </span>
8 0
3 years ago
Solve the following system of equations
GrogVix [38]

Answer:

Step-by-step explanation:

y = x - 5

2x - 5y = 1

2x - 5(x - 5) = 1

2x - 5x + 25 = 1

-3x + 25 = 1

-3x = -24

x = 8

y = 8 - 5

y = 3

(8, 3)

4 0
3 years ago
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