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yarga [219]
3 years ago
7

In the problems below, copy the problems and the picture, mark the givens, and prove the statements.

Mathematics
1 answer:
wariber [46]3 years ago
3 0

Answer:

CPCTC

Step-by-step explanation:

Triangle BUT ≅ triangle ETU. Therefore, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can determine that ∠B ≅ ∠E.

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Jenny went on a walk everyday for 4 weeks with her dog. She got paid $30 dollars everyday. How much money does she have?
Elza [17]

Answer:

$840

Step-by-step explanation:

4 weeks = 28 days

28 x 30 = 840

5 0
3 years ago
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
3 years ago
1) It's February and you go to the store to buy some food for your pets. You have a Great
Aleks [24]
<h2>Question:</h2>

1) It's February and you go to the store to buy some food for your pets. You have a Great

Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food

cost $60 for the big bag and he eats that in one week. The Savannah cats food cost

$15 a bag and it lasts him one week as well. You are there to buy food for the month

and have no more than $300 total to spend. Can you afford a month's worth of food?

a) If you bought the cat 6 weeks worth of food, how many weeks worth can you

buy your Great Dane?

<h2>Answer:  Yes you can afford </h2><h3></h3>
7 0
2 years ago
Combining like term 6k+7k
Nadya [2.5K]
13k is the answer :)
8 0
3 years ago
Ava makes bead necklaces. She has a total of 6048 beads. Each necklace has 24 beads. Her friend maria says that the greatest num
Rama09 [41]

The question is incomplete:

Ava makes bead necklaces. She has a total of 6048 beads. Each necklace has 24 beads. Her friend maria says that the greatest number of necklace she can make with the beads is 162. Marias. Work is shown here. Explain why Maria is incorrect and how she can find the correct answer.

Answer:

Maria is incorrect because when you divide the number of beads by the beads in each necklace, you find that she can make 252 necklaces.

Step-by-step explanation:

You can find the number of necklaces Avan can make by dividing the number of beads she has by the amount in each necklace:

6048/24=252

According to this, you can say that Maria is incorrect because when you divide the number of beads by the beads in each necklace, you find that she can make 252 necklaces.

8 0
3 years ago
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