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3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

Grace [21]3 years ago

3 0

The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
$\frac{42}{(15 + 42)} = \frac{x}{10 + x}$

Simplify:
$\frac{42}{57} = \frac{x}{10 + x}$
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

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Please help ASAP!!! Tysm :)

Sveta_85 [38]

Answer:

Hope that will help you

Step-by-step explanation:

BD = 14.5

3 0

3 years ago

(6,-2); y=-3X+4 write an equation of the line that passes through the given point andbis perpendicular to the grapg of the given

Komok [63]

Answer:

y=1/3x-4

Step-by-step explanation:

y-y1=m(x-x1)

the perpendicular slope is 1/3 so y+2=1/3(x-6)

y+2=1/3x-2

y=1/3x-4

3 0

3 years ago

The graph depicts the growth and costs using of line segment use the midpoint formula to approximate the cost during the year 19

marysya [2.9K]

Answer:

The approximate cost during the year 1987 was $7,533

Step-by-step explanation:

The complete question in the attached figure

we have

y -----> is the cost in dollars

x -----> is the year

Looking at the graph we have the points

(1983,5,047) and (1991, 10,019)

To determine the cost in the year 1987, find out the midpoint between the two given points

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

substitute the values

$M=(\frac{1983+1991}{2},\frac{5,047+10,019}{2})$

$M=(1987,7,533)$

therefore

The approximate cost during the year 1987 was $7,533

7 0

3 years ago

the credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes. Th

Advocard [28]

Answer:

he credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

Write the equation using the point/slope formula: y - y1 = m(x - x1)

y - 22.80 = -.16(x - 45)

y - 22.80 = -.16x + 7.2

y = -.16x + 7.2 + 22.80

y = -.16x + 30

;

Use this equation to find the credit (y) when minutes (x) = 73

y = -.16(73) + 30

y = -11.68 + 30

y = $18.32; credit after 73 minute of calls

That you can also see the original value of the phone card: x=0, y = $30

;

Did this help you understand what's going on here? Any questions

Step-by-step explanation:

8 0

3 years ago

PLSSSS HELPPPP ASAPPP

Feliz [49]

Answer:

3x+18+93=180

3x+111-111 =180-111

3x. =69

X=23

7 0

3 years ago