All categories

2 years ago

3. IF ON = 5x - 7, LM = 4x +4, NM = x - 7, and OL = 3y – 4, find the values of x and y for which LMNO must

Mathematics

1 answer:

kkurt [141]2 years ago

3 0

Answer:

x = 11 and $y = \frac{8}{3}$

Step-by-step explanation:

If LMNO is a parallelogram then it's opposite sides will be equal.

So, LM = ON

⇒ 4x + 4 = 5x - 7

⇒ x = 11

Now, MN = OL

⇒ x - 7 = 3y - 4

⇒ 11 - 7 = 3y - 4 {Since we already have, x = 11}

⇒ $y = \frac{8}{3}$ (Answer)

You might be interested in

The graph of a line passes through the points (0, -2) and (6.0). What is

9966 [12]

Answer:

$y=\frac{1}{3}x-2$

Step-by-step explanation:

The equation of a line is given in the form $y=mx+b$

Where

m is the slope with formula $m=\frac{y_2-y_1}{x_2-x_1}$

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

$m=\frac{0+2}{6-0}=\frac{1}{3}$

Now we have

$y=\frac{1}{3}x+b$

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

$y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2$

Thus,

equation of line = $y=\frac{1}{3}x-2$

5 0

2 years ago

The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho

Triss [41]

Answer:

T4 = -2°F

Step-by-step explanation:

Given the following data;

Current temperature = 10°F

Constant, K = 3°F

Time, t = 4 hours

In four (4) hours, we have;

T = kt

Substituting into the equation, we have;

T = 3 * 4

T = 12°F

T4 = current temp - new temp

T4 = 10°F - 12°F

T4 = -2°F

Therefore, the temperature it will be in 4 hours is - 2°F.

6 0

2 years ago

Which expression could represent the phrase shown? (1 point)

ivolga24 [154]

Answer:

(6 - 2) / 3

Step-by-step explanation:

First, use parenthesis to declare that whatever is inside will be done first. This is saying to subtract 2 from 6. Next, add / 3 after to show you are dividing the answer of 6-2 by 3.

4 0

1 year ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

dalvyx [7]

Answer:

Step-by-step explanation:

$\frac{14}{7} =\frac{n}{21}$

Let us divide by 14 by 7 which is 2, so the equation is:

$2 = \frac{n}{21}$

Let us multiple 21 over the other side since 21 is in the denominator of the equation, so we get

$n = 21*2 = 42$

So the answer is 42.

8 0

1 year ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

True [87]

Answer:

Range y≥-3

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers