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PilotLPTM [1.2K]
3 years ago
13

Which congruency theorem can be used to prove that △GHL ≅ △KHJ?

Mathematics
2 answers:
xenn [34]3 years ago
6 0

Answer:

B. ASA (Angle-Side-Angle).

Step-by-step explanation:

We have been given a diagram and we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.

Upon looking at our diagram we can see that side length GH of △GHL is equal to side length KH of △KHJ.

We are also given that m\angle HGL=m\angle HKJ.

We can see that \angle GHL is vertical opposite angle of \angle KHJ as they are formed by the intersection of line segments GK and JL. Therefore, m\angle GHL\cong m\angle KHJ, by vertical angles theorem.

We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.

meriva3 years ago
4 0

Answer:

it is b. ASA just took the test

Step-by-step explanation:

1. pick answer B.

2. scroll down to the "submit" or "done" button

3. press button

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navik [9.2K]

Answer:

The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150

Step-by-step explanation:

Let

x ----> number of liters of 50% antifreeze solution

y ----> number of liters of 90% antifreeze solution

we know that

50%=50/100=0.50

90%=90/100=0.90

80%=80/100=0.80

x+y=200

x=200-y ------> equation A

0.50x+0.90y=0.8(200) -----> equation B

substitute equation A in equation B and solve for y

0.50(200-y)+0.90y=160

100-0.50y+0.90y=160

0.40y=160-100

0.40y=60

y=150 liters

Find the value of x

x=200-y

x=200-150=50 liters

therefore

The number of liters of 50% antifreeze solution is 50

The number of liters of 90% antifreeze solution is 150

3 0
3 years ago
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ra1l [238]

Given :

Sunflower produce approximately 50 seeds per flower.

If one ounce of sunflower seeds contain an average of 72 seeds.

To Find :

How many flowers are needed to produce 2 pounds of seeds.

Solution :

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So , 2 pound = 32 ounces .

Number of seeds in 2 pounds of seeds, n = 32×72 = 2304 .

Number of flowers are :

N=\dfrac{2304}{50}=46.08

So , approximate number of flower required are 46.

Hence, this is the required solution.

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Step-by-step explanation:

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