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Kazeer [188]
3 years ago
12

n ΔABC, AB = 10 and BC = 5. Which expression is always true? A. 5 < AC < 10 B. AC = 5 C. 5 < AC < 15 D. AC = 10

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

A. 5 < AC < 10

Step-by-step explanation:

If ∆ABC is a right angled triangle, we use the Pythagoras formula:

c² = a² + b²

Where c = longest side

When given sides AB, AC and BC, the formula becomes:

AB² = AC² + BC²

Where AB = Longest side

In the question,

AB = 10 and BC = 5.

10² = AC² + 5²

AC² = 10² - 5²

AC² = 100 - 25

AC² = 75

AC = √75

AC = 8.6602540378

Therefore, the expression that is always true = A. 5 < AC < 10

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The answer is -x(0.09375x-15).

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3 years ago
HELP! What is the range of values for X? WILL GIVE BRAINLIEST!
andreev551 [17]

Answer:

Step-by-step explanation:

The range of a function is the set of all possible values it can produce.

For example, consider the function

f(x)=x^{2}

No matter what value we give to x, the function is always positive:

   If x is 2, then the function returns x squared or 4.

   If x is negative 2, then it still produces 4 since -2 times -2 is positive 4.

So the range of the function is

"all real numbers greater than or equal to zero".

7 0
4 years ago
Cole has 5 times as many pencils as
Nataly [62]

Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

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8 0
2 years ago
Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.
konstantin123 [22]

Answer:

Yes, you can conclude that ΔJKL ≅ XYZ.

Step-by-step explanation:

I forget how to describe it in geometric terms but, if you read the similarity statement again, and follow each angle, you'll notice that the shapes match, and they correspond to each other, it would be different if it said something like ΔLKJ ≅ XYZ because it does not match.

If you're looking for a specific reason, we'd say that they're congruent because of SAS (Side-Angle-Side)

If this still confuses you, hit me up.

6 0
3 years ago
Read 2 more answers
£880 is divided between Jim, Krutika &amp; Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as mu
krok68 [10]

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

7 0
4 years ago
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