Ask question

Ask question

All categories

2 years ago

14

Triangle ABC and triangle DEF are similar. AC = 10, BC = 6, AB = Y in triangle ABC. In triangle DEF DF = X, EF = 5, DE = 7. What

is the value of X and Y?

1 answer:

sesenic [268]2 years ago

7 0

Answer:

X=9 and Y=8

Step-by-step explanation:

In relation BC is only 1 unit more than EF. So following that take AC=10, then subtract 1. Get X=9. Then take DE=7 and add 1. Get Y=8

You might be interested in

Find the slope given the points (-5,-3) and (2,4)

Setler79 [48]

Answer:

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

(-5, -3)
(2, 4)

We can use the rate of change formula to find the slope of the points.

$\displaystyle \frac{\triangle y}{\triangle x}$

In mathematics, coordinate pairs are labeled as:

$(x_1, y_1) \ \text{and} \ (x_2, y_2)$

Therefore, we can relabel our points:

$x_1 = -5$
$y_1 = -3$
$x_2 = 2$
$y_2 = 4$

After we do this, we can expand the rate of change formula:

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Now, we can use simple substitution to solve for m, or the slope.

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1$

Therefore, the slope of the line is 1.

8 0

2 years ago

Read 2 more answers

The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. The graph shows points representi

Fiesta28 [93]

Answer:

Step-by-step explanation:

y= 20x+40

y- is the cost of rental

x-number of days

20 is the slope

40-flat rate and the y-intercept is at (0,40)

4 0

2 years ago

Without using a calculator, order the following numbers from least to greatest

SpyIntel [72]

The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10

8 0

2 years ago

−2x=x^2 minus 6, <br> Rewrite the equation by completing the square. please answer

Paul [167]

Answer:

$(x+1)^{2} -5$

Step-by-step explanation:

$-2x=x^{2} -6 \\x^{2} +2x-6\\(\frac{b}{2}) ^{2} =(\frac{2}{2}) ^{2} =1^{2} =1\\so, (x^{2} +2x+1)-6+1\\ x^{2} +2x+1=(x+1)^{2} \\-6+1=5\\(x+1)^{2} -5$

Sorry it took so long

4 0

2 years ago

Tom has 12 reports to file. If each report takes an average of 45 minutes to file, how long will it take him to file 75% of them

Jobisdone [24]

Alright, lets get started.

One report takes to file an average of = 45 minutes

Means 12 reports takes to file time = 12 * 45 = 540 minutes

12 reports filing total time = 540 minutes

We are asked to find time to file 75 % of them.

Which means 75 % of 540

= 540 * 75/100

= 540 * 0.75

= 405 minutes

We could convert it into hrs dividing with 60.

405 / 60 = 6.75 hrs

Means it will take 6.75 hrs to file 75% of them: Answer

Hope it will help :)

8 0

2 years ago