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Ugo [173]
3 years ago
6

Finding the value of the x

Mathematics
1 answer:
natali 33 [55]3 years ago
4 0

Answer: do a proportion

Step-by-step explanation:

So it would be a number over a number and equals X over a number.

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Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
Please help. I need a step by step explanation. Extra points will be given as well as brainiest!!!
Shalnov [3]

Answer:

V =113.04

Step-by-step explanation:

A sphere has a surface area of 113.04

SA = 4 pi r^2

113.04 = 4 pi r^2

Let pi 3.14

113.04 = 4 *(3.14) r^2

113.04 = 12.56 r^2

Divide each side by 12.56

113.04/12.56 = r^2

9 = r^2

Take the square root of each side

3 =r

We want to find the volume

V = 4/3 pi r^3

V = 4/3 (3.14) 3^3

V =113.04

3 0
3 years ago
Amanda surveyed 13 students in her class about their heights in inches. Her data are listed below: 58, 59, 55, 52, 57, 59, 62, 5
Aleonysh [2.5K]

Answer:

IQR is 4, median is 58.

Step-by-step explanation:

Enter these values in a list, hit stat > calc > 1-var stats. That gives you the 5 number summary. To get IQR, subtract Q3 from Q1.

3 0
3 years ago
Read 2 more answers
Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply. x = –1.1 x = –2.2 x =
galben [10]
Answer:
x > - 11/10
(I don't know if this is correct or not, if so i'm glad i helped!)
8 0
3 years ago
Read 2 more answers
It takes 9 builders 54 days to complete a house.
Dima020 [189]

It would take 6 builders  36 days to complete the same house.

<h3>Who are builders?</h3>

Builders are those person whose job is to build or repair houses and other buildings.

We have,

9 builders take 54 days to complete a house.

So,

1  builder will take  (\frac{54}{9})  days to complete a house,

In the same way,

6  builder will take  (\frac{54}{9}*6)  days to complete a house,

i.e.

6  builder   =(\frac{54}{9}*6)= 36 days.

Hence, we can say that it would take 6 builders  36 days to complete the same house.

To know more about  builders and work click here

brainly.com/question/16924313

#SPJ2

5 0
2 years ago
Read 2 more answers
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