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decide whether enough information is given to prove that triangle XYZ is congruent to triangle JKL. If so, state the term you us

Dafna1 [17]

The information given to us shows that triangles XYZ and JKL is not enough to prove they are congruent by AAS, ASA, nor SAS.

<h3>The Triangle Congruence Theorems</h3>

Two triangles are congruent by the AAS congruence theorem if they both have two pairs of congruent angles and a pair of congruent non-included sides.
Two triangles are congruent by the ASA congruence theorem if they both have two pairs of congruent angles and a pair of congruent included sides.
Two triangles are congruent by the SAS congruence theorem if they both have two pairs of congruent sides and a pair of congruent included angles.

Thus, the information given to us shows that triangles XYZ and JKL is not enough to prove they are congruent by AAS, ASA, nor SAS.

Learn more about triangle congruence theorem on:

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7 0

3 years ago

Use the following information for questions 1 through 6. The dietitian at a camp is planning breakfast for the first day of camp

Dima020 [189]

Answer:

Let x and y be the pieces of toast and sausage required.

Then the objective function is

Min Z=0.04x+0.08y

Constraints:

Vitamin A, 2x+4y≥20

Vitamin B, 3x+1.5y≥15

Iron, 2x+2y≥16

Sausage, y≤4

The non-negative constraints are x≥0, y≥0

Thus, the linear programming model is

Min Z=0.04x+0.08y

Subject to,

2x+4y≥20

3x+1.5y≥15

2x+2y≥16

y≤4

x≥0, y≥0

1) There are two variables in the LP model. So, option (B) is correct.

2) The LP model contains four constraints (excluding the non negative constraints). So, option (D) is correct.

3) Solving the LP model using a software, we get the solution as

z=0.4, at x=6 and y=2

So, The cost of the breakfast is $ 0.4. Option (B) is correct.

4) The breakfast should contains 6 toasts.

5) The amount of Vitamin B in the breakfast = 3(6)+1.5(2)=18+3=21 milligrams. So, option (C) is correct.

6) The amount of Iron in the breakfast= 2(6)+2(2)=12+4=16 milligrams. So, option (B) is correct.

Step-by-step explanation:

4 0

3 years ago

Solve 2c/15 =8.8. the solution to c is

ArbitrLikvidat [17]

The solution to c is 66

4 0

3 years ago

Please help me! I'm confused. Also, do not put any nonsense answers please. Thanks!

Nonamiya [84]

Answer:

good luck cause i dont know

Step-by-step explanation:

heheh

7 0

2 years ago

Read 2 more answers

A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the

alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

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5 0

2 years ago