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Crazy boy [7]
3 years ago
15

40 POINTS NEED HELP ASAP

Mathematics
2 answers:
sesenic [268]3 years ago
7 0
Use slope formula: y2-y1/x2-x1

XZ: -5/9
YZ: 2/7
XY: -7/2

XYZ is a right triangle because two of these slopes have a product of -1.

(YZ and XY does).  We are all busy these days.
Pie3 years ago
5 0

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

m1*m2=-1

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

m=\frac{(y2-y1)}{(x2-x1)}

we have

x(-5,5)\\y(-3,-2)\\z(4,0)

Step 1

<u>Find the slope xz</u>

x(-5,5)\\z(4,0)

Substitute in the slope's formula

m=\frac{(0-5)}{(4+5)}

m=\frac{(-5)}{(9)}

mxz=-\frac{5}{9}

Step 2

<u>Find the slope yz</u>

y(-3,-2)\\z(4,0)

Substitute in the slope's formula

m=\frac{(0+2)}{(4+3)}

m=\frac{(2)}{(7)}

myz=\frac{2}{7}

Step 3

<u>Find the slope xy</u>

x(-5,5)\\y(-3,-2)

Substitute in the slope's formula

m=\frac{(-2-5)}{(-3+5)}

m=\frac{(-7)}{(2)}

mxy=-\frac{7}{2}

Step 4

Verify if two of the slopes are perpendicular

mxz=-\frac{5}{9}

myz=\frac{2}{7}

mxy=-\frac{7}{2}

Multiply  myz and mxy

\frac{2}{7}*-\frac{7}{2}=-1 -------> the lines segment yz and xy are perpendicular

therefore

the triangle XYZ is a right triangle    

the answer in the attached figure

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mariarad [96]

Answer:

A scale drawing or floor plan is a representation of an actual object or space drawn in two-dimensions. For a floor plan, you can imagine that you are directly above the building looking down. The lines represent the walls of the building, and the space in between the lines represents the floor.

In order to find the actual dimensions from a floor plan, you can set up and solve a proportion. The scale given in the drawing is the first ratio. The unknown length and the scale length is the second ratio.

Let’s look at an example.

The floor plan below shows several classrooms at Craig’s school. The length of Classroom 2 in the floor plan is 2 inches. What is the actual length, in feet, of Classroom 2?

First, set up a proportion. The scale in the drawing says that

12′′=3′

, therefore the proportion is:

0.5 inches3 feet

Next, write the second ratio. You know the scale length is 2 inches. The unknown length is

x

. Make sure that the second ratio follows the form of the first ratio: inches over feet.

0.5 inches3 feet=2 inchesx feetThen, cross-multiply.

0.530.5x0.5x===2x2×36Then, divide both sides by 0.5 to solve for

x

.

0.5x0.5x0.5x===660.512The answer is 12.

The actual length of the classroom is 12 feet.

8 0
3 years ago
paleontologist have put together bones to make a T-Rex skull that has a mass of 600 pounds. They just found a new tooth fossil t
Ulleksa [173]
16 ounces = 1 pound
meaning 2.5 pounds is added to the skull, 602.5 pounds.
6 0
2 years ago
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A ski lodge charges $26 per day for a pass and $1.50 for every ski lift ride. A second ski
malfutka [58]

Answer:

32=40

26=39

Step-by-step explanation:

8 0
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can someone help me!! Use algebraic rules of equations to predict the solution type to the system of equations. Include all of y
xz_007 [3.2K]

Answer:

x + y = 4 Equation 1

y = 2x -1 Equation 2

-2x + y = -1

x + y = 4

Subtract

You will get

- 3x = -5

Divide by -3

-3x / -3 = - 5 /-3

x = 5/3

Substitute x into equation 1

x + y = 4

x = 5/3

5/3 + y = 4

y = 4 - 5/3

y = 7/3

x = 5/3 y = 7/3

Hope this helps.

4 0
3 years ago
A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
makkiz [27]

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

3 0
2 years ago
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