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4 years ago

The questions are below:

Mathematics

1 answer:

forsale [732]4 years ago

8 0

Answer:

See below in BOLD.

Step-by-step explanation:

<u>The first part:</u>

Applying the Pythagoras theorem to both triangles.

The one on the left:

13^2 = 12^2 + x^2

x^2 = 169 - 144 = 25

x = 5 units.

The one on the right:

x^2 = 5^2 + 12^2 = 169

x = 13 units.

(a) So the 2 shorter sides in the triangles have the same length.

(b) The 3 sides of each triangle have the same length so they are congruent by SSS.

<u>The Second Part.</u>

(a) F. They<u> could be congruent</u> because the angles are all equal but we don't know anything about the lengths of the sides.

(b). C. Congruent. by ASA. The angles at each side of the line of length 9.2 are equal in measure.

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Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal no

In-s [12.5K]

Answer:

Kelsey has 8 plus more entries

8 + x

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2 years ago

Beth made wristbands and belts for a craft sale. She sold 30 of these items. Each wristband sold for $5.50. Each belt sold at $8

baherus [9]

<u>✿</u><u>Answer:</u>

Both sold 18 wristbands and 12 belts

✂----------------------

Let, number of wristbands = x

number of belts = y

$x+y=30$ ➞ $x~5.5$

$5.50x+8.75y=204$ $x1$

$5.50x+5.5y=165\\5.5x+8.75y=204\\---------\\-3.25y=-39$

$y=-39/3.25$

$y=12$

$x=30-12=18$

$So, Both~ sold ~18 ~wristbands ~and ~12~ belts$ .

❄❄❄❄❄❄

<h3>hope it helps...</h3><h3>have a great day!!</h3>

5 0

3 years ago

4[3(10-7)+(11•2)]<br><br> Help please

Yuri [45]

Answer: 124

Explanation: 4[3(10-7)+(11•2)]
Parentheses - 4[3(3)+(22)]
Parentheses - 4(9+22)
Parentheses - 4(31)
Multiplication - 124

8 0

2 years ago

Read 2 more answers

The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 y

saul85 [17]

Answer:

5th year= 9800

Step-by-step explanation:

1st year=15800

2nd=14300

3rd=12800

4th=11300

5th=9800

8 0

3 years ago

A grocery store sells salmon fillets in package that contains at least 3 fillets of salmon,but no more than 5.which of the follo

34kurt

Answer: 18 ≤ 6*S ≤ 30

Where S is the number of salmon fillets in one single package.

Step-by-step explanation:

Let's define S as the number of salmon fillets in one package.

We know that it contains at least 3, and no more than 5, then we can write:

3 ≤ S ≤ 5

Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.

We can find this by multiplying the inequality:

3 ≤ S ≤ 5

by 6.

We get:

6*3 ≤ 6*S ≤ 6*5

18 ≤ 6*S ≤ 30

Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.

8 0

3 years ago