Definition: The statement formed when an equal sign is placed between two expressions is called an

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Answer 1

Answer:

Answer:

equation

example=2+3=5

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Please help!!!A triangle has one side that measures 9 units, another side that measures x, and a third side that measures 2 units more than x. The perimeter is 29 units.Which equation would we use to find the value of x?x + x + 2 = 29x + x + x + 2 + 9 = 29x + x + 2 + 9 = 29x + x + x + 2 = 29

If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park? Explain. Please if you know this is please tell me right away! Thank you for your participation even though you got the answer wrong!

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"If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park" its 2.45 acres.

The triangles shown below must be congruent.

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True by the angle angle side theorem.

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Answer:

Option A is correct.

Yes, it is true that the triangles shown are congruent.

Step-by-step explanation:

Labelled the diagram as shown below in the attachment:

In triangle ABC and triangle PQR

$\angle ABC \cong \angle PQR = 90^(\circ)$ [Angle]

$\angle ACB \cong \angle QPR = 40^(\circ)$ [Angle]

$AC \cong PR = 12$ units [Side]

AAS(Angle-Angle-Side) postulates states that the two angles and the non- included side of one triangle are congruent to the two angles and the non-included side of the other triangle., then the triangles are congruent.

Then, by AAS

$\triangle ABC \cong \triangle PQR$

Therefore, the given triangles shown must be congruent.

Thirteen out of twenty-one people surveyed prefer fresh fruit over canned fruit. What percent of people prefer fresh fruit?

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Answer:

The percent of the people who prefer fresh fruit is 61.9%

Step-by-step explanation:

Assume x% people prefer fresh fruit over canned fruit. Then x can be calculated as:

x= No of people who prefer fresh fruit * 100

Total no of surveyed people

x = 13 * 100

x = 61.9%

Heather is trying to decrease the amount of toys that Oliver has. Originally, he had 55 toys in his room and now he only has 30. By what percentage did Heather decrease the amount of toys?

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Answer: 45.45%

Step-by-step explanation:

Given: The number of toys in Heather's room before = 55

The number of toys now in the room = 30

Now, the decrease in the toys = $55-30=25$

We know that the percent decrease is given by ;-

$\frac{\text{Decrease in amount}}{\text{amount before}}*100$

$\n=(25)/(55)*100=45.4545\approx45.45\%$

Hence, Heather decrease the amount of toys by 45.45% .

25/55 = x/100, so I think it is 45% Decreased.

I am a number between 60 and 100. My ones digit is two less than my tens digit. I am a prime number. What number am I. Explain.

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Let's name the digit:

x- ones digit
y - tens digit

we know that x=y-2.

Now, y can be 6,7,8,9 (the number is between 60 and 100 (so depending on your understanding of "between", 0 is also possible. but then the number would have to have -2 as its ones digit, so in any case, it's not possible).

So the possibilities with x=y-2:

64
75
86
97
Out of those 64 and 86 are even, so they can't be prime.
75 has 5 in its ones number: it's divisible by 5.

so the correct answer is 97.

Find the number in where it is between 60 and 100.
Its ones digit is 2 less than its tens digits. And it is a prime number.
=> thus the digit is 2 digit since it has ones and tens place value.
Let’s assign a variable to use. Let a be the value of ones and b the value of tens
ones = A – 2
tens = y
So let’s find the number between 60 to 100 that the value of ones is 2 less than the value of tens
=> 64
=> 75
=> 86
=> 97
Now, we have possible answers. However, prime numbers are not divisible and is not even numbers.
So the answer is 97.

If 2 more violinists join the orchestra and 1/2 the orchestra are violinists already what fraction of all musicians would play a stringed instrument

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So, if we have 100 people in the orchestra- 50 of them are violinists.
If two more violinists join the orchestra, there would be 102 players and 52 violinists.
52/102 is the fraction you are looking for. Simplified it would be 26/51.

Hope this helps!

The answer is 52/ 102, when simplified..
26/51. Hope it helps! :)

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