All categories

3 years ago

Find the values of x and y : EK= 7x+5, KG= 3x+17, HK= 3y-11, KF= y+5NEED ANSWER ASAP

Mathematics

1 answer:

Mice21 [21]3 years ago

3 0

Answer:

Step-by-step explanation:

We know:

The diagonals of the parallelogram are divided in half.

Therefore

EK ≅ KG and HK ≅ KF.

We have

EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5

Equations:

(1) 7x + 5 = 3x + 17

(2) 3y - 11 = y + 5

Solutions:

(1)

7x + 5 = 3x + 17 subtract 5 from both sides

7x + 5 - 5 = 3x + 17 - 5

7x = 3x + 12 subtract 3x from both sides

7x - 3x = 3x - 3x + 12

4x = 12 divide both sides by 4

4x/4 = 12/4

x = 3

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

(2)

3y - 11 = y + 5 add 11 to both sides

3y - 11 + 11 = y + 5 + 11

3y = y + 16 subtract y from both sides

3y - y = y - y + 16

2y = 16 divide both sides by 2

2y/2 = 16/2

y = 8

You might be interested in

Miranda spent 1/5 of her time cooking pasta. If she spent 2 hours cooking, did Miranda spend more than, less than, or equal to 2

Leokris [45]

Step-by-step explanation:

Less than 2 hours. Since 100 percent of her time is 2 hours and she only spent 20 percent of 2 hours, which is less than 100 percent, it is less than

8 0

3 years ago

Read 2 more answers

The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below.

Dima020 [189]

Answer:

(a) $\hat y=69.04-0.083\cdot x$

(b) D. For every unit increase in commute time, the index score falls by 0.083, on average.

Step-by-step explanation:

(a)

Form the least-squares regression line using Excel as follows:

Go to Data → Data Analysis → Regression

A dialog box will open.

Select the X and Y variable.

Press Ok.

The regression output is attached below.

The least-squares regression line is:

$\hat y=69.04-0.083\cdot x$

(b)

The slope of a regression line is the average rate of change in the dependent variable (y) with 1 unit change in the independent variable (x).

Here the slope value is -0.083. This value implies that with 1 minute change in the commute times the Well-Being Index Score falls by 0.083 units.

The intercept of a regression line is the average value of the dependent variable (y) when the independent variable (x) value is 0.

Here, the intercept value is 69.04. This value implies that for a person with commute time 0, their Well-Being Index Score is 69.04.

The correct option is:

D. For every unit increase in commute time, the index score falls by 0.083, on average.

4 0

3 years ago

Determine the factors of x^2 - 8x + 16.

eimsori [14]

The answer is B. (x-4)(x-4)

5 0

2 years ago

Read 2 more answers

X=2π/3

Marina86 [1]

Answer:

$cos{\frac{2\pi}{3}}=-\frac{1}{2}$ .

Reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

Given the value of x. we have to find the correct value of cosx.

$x=\frac{2\pi}{3}$

Now, we have to find the exact value of $cos{\frac{2\pi}{3}}$

$cos{\frac{2\pi}{3}}=cos(\frac{\pi}{2}+\frac{\pi}{6})$

$=-sin(\frac{\pi}{6})$

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

Now, we have to find the reference angle of $x=\frac{2\pi}{3}$ .

Since the angle $x=\frac{2\pi}{3}$ lies in second quadrant, the reference angle formula is

Reference angle= $\pi-given angle$ .

= $\pi-\frac{2\pi}{3}=\frac{\pi}{3}$

3 0

3 years ago

True of false The World Is Going To End SOON!!!! *teacher said ask this question*

likoan [24]

It cannot be proven true, or proven false, since ''soon'' implicates the future, and it is impossible to know the future. You teacher probably wants you to say something like this.

3 0

3 years ago

Read 2 more answers