All categories

2 years ago

Please Help :) Set up the equation and find the length of BC.

Mathematics

1 answer:

Kamila [148]2 years ago

7 0

Answer:

BC= 29

Step-by-step explanation:

If the total, AC, is 54 and AB is 25 subtract those two to find the last part, BC.

You might be interested in

Rob is travelling to germany he drives for1 1/2 hours wait for 2 3/4 hours flight lasts 2 1/3 hours how long has he travelled pu

DIA [1.3K]

We add all these mixed numbers together:

1 1/2 + 2 3/4 + 2 1/3

It will be easier to convert the mixed numbers into improper fractions:

3/2 + 11/4 + 7/3

Now we have to find the common denominator which is 12:

18/12 + 33/12 + 28/12 = 79/12 = 6 7/12

The answer is 6 7/12 hours.

7 0

3 years ago

Read 2 more answers

Given the equation: y=6x + 2<br><br> What is the slope of the line?

Andrei [34K]

Answer:

Slope =6

Step-by-step explanation:

The given equation is in the form: y = mx + b

Here, m is the slope & b is y-intercept

y = 6x + 2

m = 6

4 0

2 years ago

Assume $20,000 is deposited into a savings account. Bedford Bank offers an annual rate of 1% simple interest for five years. Sli

lozanna [386]

Using a savings interest calculator, I found that either way your savings grow by exactly $1,020.20, so they share the same interest.

7 0

3 years ago

In the diagram below bd is parallel to xy what is the value of x

Dominik [7]

Answer:

the answer is 76

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

1 year ago

Read 2 more answers