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3 years ago

Is anyone good with triangle inequalities? I provided a picture for the problem.

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

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A group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete t

stepladder [879]

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

6 0

2 years ago

Can someone help me with this question?

sesenic [268]

Answer:

One of the angles in the triangle might be 50.

AND

The length of the third side must be 11cm or smaller.

Step-by-step explanation:

-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.

-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)

-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)

-One of the angles in the triangle might be 50 (possibly, so very much true)

3 0

3 years ago

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

Darina [25.2K]

X = older brother
y = younger brother

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

$( \frac{2y}{3} + 8) / y +8 = \frac{3}{4}$
$(2y + 24)/3 = y + 8 = \frac{3}{4}$
$2y + 24 = 3 (y + 8) = \frac{3}{4}$
$2y + 24 = 3y + 24 = \frac{3}{4}$
$4 (2y + 24) = 3 (3y + 24)$
$8y + 96 = 9y + 72$
$y = 24$

The age of the older brother is 24.

$x = \frac{2y}{3} = \frac{2*24}{3}$
$x = \frac{48}{3}$
$x = 16$

The age of the youngest brother is 16.

5 0

4 years ago

Read 2 more answers

It cost $4 to enter a fair. Each ride costs $2.50. You have 21.50. How many rides can you go on

jekas [21]

Answer:

7 rides

Step-by-step explanation:

So you start off with $21.50. Subtract $4 from 21.50 and you'll end up with $17.50. Now divide $17.50 with the price of each ride which is $2.50 and you end up with 7. You are able to go on 7 rides.

4 0

3 years ago

7! What does this mean?

7nadin3 [17]

Answer:

5040

Step-by-step explanation:

= 1 × 2 × 3 × 4 × 5 × 6 × 7

= 5040

5 0

3 years ago