All categories

3 years ago

What is the length of BC¯¯¯¯¯ ?

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

2x - 24 = x - 2
2x - x = -2 + 24
x = 22

BC = x = 22

You might be interested in

Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho

deff fn [24]

Answer:

(a) Side lengths

$RS = \sqrt{5}$ $ST = \sqrt{17}$ $RT = \sqrt{18}$

(b) Slope

$RS = \frac{1}{2}$ $RT = 1$ $ST = -4$

Step-by-step explanation:

Given

$R = (2,3)$

$S = (4,4)$

$T = (5,0)\\$

Solving (a): Length of each side

This is calculated using distance formula

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

So, we have:

$RS = \sqrt{(4 - 2)^2 + (4 - 3)^2}$

$RS = \sqrt{5}$

$ST = \sqrt{(5 - 4)^2 + (0- 4)^2}$

$ST = \sqrt{17}$

$RT = \sqrt{(5 - 2)^2 + (0 - 3)^2}$

$RT = \sqrt{18}$

Solving (b): The slope of each side

This is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$RS = \frac{4- 3}{4- 2}$

$RS = \frac{1}{2}$

$RT = \frac{0 - 3}{5- 2}$

$RT = \frac{ - 3}{- 3}$

$RT = 1$

$ST = \frac{0 - 4}{5- 4}$

$ST = \frac{- 4}{1}$

$ST = -4$

Solving (c): Classify the triangle

In (a), we have:

$RS = \sqrt{5}$

$ST = \sqrt{17}$

$RT = \sqrt{18}$

None of the sides are equal;

The triangle is scalene

5 0

2 years ago

3/4 of a mile in 2/3 of an hour, what is the unit rate?

il63 [147K]

Answer

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

3 miles ÷ 2

2 hours ÷ 2

1.5 miles

1 hour

1.5 miles

hour

= 1.5 miles per hour

8 0

2 years ago

The dolphins at the Logan Aquarium are fed 3 7/8 buckets of fish each day. The sea otters are fed 2 9/10 times as much fish as t

Bond [772]

Answer:

Step-by-step explanation:

If the dolphins are fed half a bucket of fish then half of that would be a quarter, therefore the sea otters are fed 1/4 of a bucket.

7 0

3 years ago

What is the straight-line distance between (2, -4) and (-3, 8) on a coordinate grid?

Scrat [10]

It is most likely 14 units so it would be A. I think.

6 0

2 years ago

Given two triangles with three corresponding angles that are congruent, why can't the two triangles be proved congruent? A) Give

Xelga [282]

The answer is the triangles could have the same shape( that is all the angles are equal) but the sides may not be the same length . Thay are similar but not necessarily congruent.

C is the correct choice.

6 0

3 years ago

Read 2 more answers