All categories

4 years ago

An equilateral triangle has a perimeter of 21 and a side length of 2x - 3. Solve for x

Mathematics

1 answer:

scoray [572]4 years ago

4 0

Answer:

x=3

Step-by-step explanation:

Because it is equilateral, all the sides are equal. so you can make your equation

3(2x-3)=21

Distribute the 3 throughout, giving you 6x-3=21

Subtract the 3 from both sides, and you are left with 6x=18

Divide 18 by 6 and you get 3.

You might be interested in

An elephant at the zoo lost 32 pounds over 8 months. The elephant lost the same amount of weight each month. Enter an integer th

inna [77]

Answer:

He would loose 4lbs. a Month 32/8=4

Step-by-step explanation:

First thing you need to do is to get the months down to one. so you need to divide 32/8 to get the pounds per month

3 0

3 years ago

Read 2 more answers

Juan bought a dog treat for $1.08. He paid with a $20 bill. Which of the following could be the change he received?

jeyben [28]

Hello!

First, let's subtract.

20-1.08=18.92

Now let's add up each of our prices and see which one matches.

A) $19.92

B) $19.67

C) $18.92

D) $18.68

As you can see, our answer matches $\boxed {C}$ , so that is our answer.

I hope this helps!

8 0

4 years ago

Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want

slega [8]

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

$South = 4.2km$

$West = 7.1km$

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

$\tan(a) = \frac{Opposite}{Adjacent}$

$\tan(a) = \frac{7.1}{4,2}$

$\tan(a) = 1.6905$

Take arctan of both sides

$a = \tan^{-1}(1.6905)$

$a = 59.4^o$

4 0

3 years ago

For the data that are shown on the graph below, within which range of x values can interpolation occur?

irga5000 [103]

Answer:

25-50

Step-by-step explanation:

Since the graph shows us only values of x that are between 25 and 50, this is the correct answer.

We can interpolate with known data. However, once the interpolation occurs, and we approximate the data for a line of the form y = mx + b (m <0 , linear negative association), we could find the other values of y for a wider range of x values.

3 0

3 years ago

Read 2 more answers

Mary is promoted to salary level 3, receives a 2/5 cost of living increase and a 5% merit bonus. what is Mary's new salary?

Bond [772]

4828293939292929281919

6 0

3 years ago