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3 years ago

Easy question pls help

Mathematics

1 answer:

gavmur [86]3 years ago

3 0

Answer:

They are congruent

Step-by-step explanation:

Vertical angels always congruent

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The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

3 years ago

3. Which of the following are the characteristics for the graph of the parent linear function?

Mama L [17]

Answer:

For 3: A,D

For 4: I think A

Step-by-step explanation:

3: the reason is because as it approaches infinity, y is infinity

4. as c increases, y increases the same amount

4 0

3 years ago

Read 2 more answers

Marcus nan and olive each have 1.65 in their pockets they decide to combine the money how much how much money do they have altog

erica [24]

If Marcus has $1.65 and Olive has $1.65, in total they have $3.30. So, if they combine their money they would have $3.30.

6 0

3 years ago

Read 2 more answers

Complete to get an equal ratio<br> 5a/8ab = ?/ 24a^2 b

Likurg_2 [28]

9514 1404 393

Answer:

? = 15a^2

Step-by-step explanation:

We assume you want

(5a)/(8ab) = (?)/(24a^2·b)

Multiplying by 24a^2·b, we get ...

(5a)/(8ab)·(24a^2·b) = ? = 15a^2

6 0

3 years ago

Two trains leave a city at the same time. One train goes west at a constant rate of 60 mph. The other goes east at a rate of 50

nadya68 [22]

Hello!

The trains are going in opposite directions, one at 60 mph and the other at 50 mph. We can use this information to create the following formula, where variable "h" represents the number of hours:

50h + 60h = 550

Combine like terms:

110h = 550

Divide both sides by 110:

h = 5

We have now proven that it would take 5 hours for the two trains to be 550 mile apart.

I hope this helps!

8 0

3 years ago

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Easy question pls help​

Easy question pls help