Solve for x in these two similar triangles

The following list shows the favourite colours of some students:

tresset_1 [31]

Answer: Green

Explanation:

Mode is the number (or in this case, color) that appears the most amount of times.

This is how many time each color appears:

Green: 3

Black: 3

Blue: 1

Red: 4

Orange: 2

Since Green appears the most, the mode is Green.

7 0

3 years ago

EASY AND BRAINLIEST!!!!

nirvana33 [79]

Answer:

$6x-4y=15$

Step-by-step explanation:

step 1

Find the slope of line L

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

In this problem we have

$2x + 3y = 5$

Isolate the variable y

$3y = -2x+5\\y=-(2/3)x+(5/3)$

The slope of the given line is

$m=-2/3$

so

The slope of the Line L is

$m=3/2$

step 2

Find the x-intercept of the line

$2x + 3y = 5$

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$2x + 3(0) = 5\\x=5/2$

The x-intercept is the point (5/2,0)

step 3

Find the equation of the line L

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=3/2\\point (5/2,0)$

substitute

$y-0=(3/2)(x-5/2)$

$y=(3/2)x-(15/4)$

Convert to standard form

AX +By+C

where

A is a positive integer

B and C are integers

Multiply both sides by 4

$4y=6x-15\\6x-4y=15$

3 0

4 years ago

What is the difference in price per kg between chicken sold at $23.24/kg and turkey sold at $5.17/250 g?

Fed [463]

There are 1000 grams in 1 KILOgram.

therefore in 23.24/kg can be just written using grams as 23.24/1000, since 1kg = 1000 g.

so the price of the chicken per gram is then 23.24/1000 or $0.02324 per gram, roughly 2 and 1/3 pennies per gram.

and the turkey is 5.17/250 in grams already, that gives us $0.02068 per gram, which is roughly 2 pennies.

well, their price difference is 0.02324 - 0.02068, which is 0.00256 per gram unit.

since we know there are 1000 grams in 1 Kg, how much is that for 1000 grams or a Kg? 0.00256 * 1000 or $2.56.

8 0

3 years ago

a cell phone company charges an initial price of $400 for a new phone and then $50 each month after the purchase. if c (t) is a

Fed [463]

The range of the function, c(t), where the fixed cost is $400 and the monthly charge is $50 is <u>{$450, $250, ... }</u>.

<h3>What is the range of a function?</h3>

The range of a function is the complete set of all possible resulting values of the dependent variable (y) after substituting the domain.

Thus, the range is the resulting y-values after substituting all the possible x-values (domain).

In this instance, the range of the function tells us the monthly average cost. We can see that as the months increase, the monthly average cost continues to reduce.

<h3>Data and Calculations:</h3>

Fixed initial cost = $400

Monthly charge = $50

C(t) = 400 + 50x

Domain, x = 1 to 12 (months)

Range, y = {(400 + 50), (400 + 50 x 2)/2, (400 + 50 x 3)/3, (400 + 50 x 4)/4, ... (400 + 50 x 12)/12}

= {$450, $250, ... }.

In conclusion, the range of the function, c(t) is <u>{$450, $250, ... }</u>.

Learn more about the range of a function at brainly.com/question/7954282 and brainly.com/question/1466393

#SPJ1

8 0

1 year ago

Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair s

4vir4ik [10]

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A $\bigcap$ B.

Let, (x,y) belong to A $\bigcap$ B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A $\bigcap$ B is (0,0).

5 0

3 years ago

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