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3 years ago

Is lmn congruent to opq if so name the postulate

Mathematics

1 answer:

insens350 [35]3 years ago

5 0

Answer:

Option (A)

Step-by-step explanation:

Given:

LM ≅ OP

MN ≅ PQ

∠M ≅ ∠P

To Prove:

ΔLMN ≅ ΔOQP

Statements Reasons

1). LM ≅ OP 1). Given

2). MN ≅ PQ 2). Given

3). ∠P ≅ ∠M 3). Given

4). ΔLNM ≅ ΔOQP 4). By the SAS postulate of congruence.

[Side - Angle - Side]

Therefore, Option (A) will be the answer.

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A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien

Rudiy27

Answer:

5 represent calories from other ingredients

c= 5 1/2 grams

Step-by-step explanation:

Total calories=c grams of carbohydrates + other ingredients

Total calories in granola bite=27

The equation 4c + 5 = 27 represents the relationship between these quantities

1. 5 represent calories from other ingredients

2. Priya said that neither 8 nor 3 could be the solution to the equation

4c + 5 = 27

When the solution is 8

4(8)+5=27

32+5=27

37 =27

Solution 8 gives a higher calories than total calories

When solution is 3

4(3)+5=27

12+5=27

17=27

Solution 3 gives a lower calories than total calories

3. Solution to the equation

4c + 5 = 27

Subtract 5 from both sides

4c+5-5=27-5

4c=22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

c= 5 1/2 grams

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4 years ago

HELPPP FORCE AND MOTION 7th grade!!! <br><br> 15 points!!! And a brainlist!!

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Answer:

1. push 2. machine 3. gravity 4. balance 5. energy. 6 force 7. pull 8. friction 9. newtons 10. inertia

Step-by-step explanation:

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Find the nth term of the following sequence: 7, 13, 19, 25,

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The answer of the next term is 31

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What is the GCF of 36 and 90

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Solve the linear programming problem.

larisa [96]

Answer:

1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64

2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21

Step-by-step explanation:

1. Maximize: P = 4x +4y

Subject to: 2x + y ≤ 20

x + 2y ≤ 16

x, y ≥ 0

Plot the constraints and the objective function Z, or P=4x+4y)

Push the objective function to the limit permitted by the feasible region to find the maximum.

Answer: Objective function is a maximum at (16,0),

Z = 4x+4y = 4(16) + 4(0) = 64

2. Maximize P = 3x + 2y

Subject to x + y ≤ 8

2x + y ≤ 13

x ≥ 0, y ≥ 0

Plot the constraints and the objective function Z, or P=3x+2y.

Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.

Answer: Objective function is at a maximum at (5,3),

Z = 3x+2y = 3(5)+2(3) = 21

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