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3 years ago

Please help first correct will get brianliest. Find the value of x that makes DEF XYZ

Mathematics

1 answer:

erica [24]3 years ago

6 0

Answer:

x = 7

Step-by-step explanation:

The larger triangle is twice as big as the smaller triangle. Therefore, the length of the side EF is twice as large as the side YZ.

I multiplied 4.5 (the length of YZ) and 2 to get 9. The value of side EF is 3x-12 and should be equivalent to 9.

3x - 12 = 9

I solved this equation by adding 12 to both sides and dividing 3 on both sides.

The value of x is 7.

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Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)

yarga [219]

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

$y=mx+b$

We have to find the slope first

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}$

Putting the value of slope

$y = \frac{1}{2}x+b$

To find the value of b, putting (12,1) in the equation

$1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5$

Putting the values of m and b

$y =\frac{1}{2}x-5$

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

8 0

3 years ago

Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV m

Sonja [21]

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

3 0

3 years ago

4/5(720-240)-180 step by step

34kurt

Answer:

204

Step-by-step explanation:

4/5(720-240)-180

4/5(480)-180

4*480/5-180

1920/5-180

384-180

204

5 0

3 years ago

What perfume sent do you recommend

Evgen [1.6K]

Answer:

Vanilla Extract

Step-by-step explanation:

4 0

3 years ago

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl

Ugo [173]

Answer:

c. 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have the following sample space

That is, the possible outcomes.

I am going to call boys b and girls g

b - b - b

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

g - g - g

Total outcomes:

8 outcomes

What is the probability that they will have at least one boy and at least one girl?

Desired outcomes:

At least one boy and at least one girl

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

Six desired outcomes.

Probability

$P = \frac{6}{8} = 0.75$

The correct answer is:

c. 0.75

6 0

3 years ago