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3 years ago

Please help me do my homework and receive 25 points.

Mathematics

1 answer:

user100 [1]3 years ago

6 0

Fluency
1.) All three
condition: They all have the same size, same angles
2.) The right triangles
condition: They both have the same angles as well as same size
3.)The first and second ones
condition: They both are the same size, and have the same angles
4.) Last 2
condition: Same size, same angles.

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What is the mean of 31, 29, 33, 37, 33, 38, 43 and 40?

horsena [70]

Answer: 35.5

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

So to find the mean of the data set shown here, let's begin by adding the numbers.

31 + 29 + 33 + 37 + 33 + 38 + 43 + 40 = 284

284 will be divided by how many numbers are in the data set which is 8 so we have to divide 284 by 8.

248 ÷ 8 = 35.5

Therefore, the mean of the data set shown here is 35.5.

6 0

3 years ago

How is finding the area of a trapezoid different from finding the area of a parallelogram and a triangle?

trasher [3.6K]

There are different formulas for each different shape.

8 0

3 years ago

1. In triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ. Also, AY = 7, BZ = 8, and XZ

Varvara68 [4.7K]

Answer:

Part 1) The perimeter of triangle ABC is 24 units

Part 2) $y=97\°$

Step-by-step explanation:

Part 1) we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

see the attached figure to better understand the problem

Applying the midpoint theorem

step 1

Find the value of BC

$BC=\frac{1}{2}XY$

$XY=2AY$ ---> because A is the midpoint

substitute the given value of AY

$XY=2(7)=14\ units$

$BC=\frac{1}{2}(14)=7\ units$

step 2

Find the value of AC

$AC=\frac{1}{2}YZ$

$YZ=2BZ$ ---> because B is the midpoint

substitute the given value of BZ

$YZ=2(8)=16\ units$

$AC=\frac{1}{2}(16)=8\ units$

step 3

Find the value of AB

$AB=\frac{1}{2}XZ$

substitute the given value of XZ

$AB=\frac{1}{2}(18)=9\ units$

step 4

Find the perimeter of triangle ABC

$P=AB+BC+AC$

substitute

$P=9+7+8=24\ units$

Part 2) Find the measure of angle y

step 1

Find the measure of angle z

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

$55\°+42\°+z=180\°$

solve for z

$97\°+z=180\°$

$z=180\°-97\°$

$z=83\°$

step 2

Find the measure of angle y

we know that

$z+y=180\°$ ----> by supplementary angles (form a linear pair)

we have

$z=83\°$

substitute

$83\°+y=180\°$

solve for y

$y=180\°-83\°$

$y=97\°$

6 0

3 years ago

How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!! :)

MrRissso [65]

<h3>Answer: 11 units to the right and 3 units down</h3>

====================================================

Explanation:

Plot the two points on the same xy grid (refer to the diagram below). Once this is done, the answer probably will become apparent. We should move point B 11 units to the right so that we move directly over top point B'. Count out the spaces to see why this is the case, or you can subtract the x coordinates and apply absolute value

|x1-x2| = |-5 - 6| = 11

Then we need to move 3 units down to finally arrive at point B'

---------------------------

A non-visual or non-graph approach could look like this:

B is at (-5,-2) while B' is at (6,-5)

Focus on the x coordinates for now. Like before, we subtract the x coordinates and apply absolute value to get |x1-x2| = |-5 - 6| = 11. This is the "11 units to the right" motion.

Do the same for the y coordinates to get |y1-y2| = |-2-(-5)| = 3. We move down because the y coordinate of B' is further away from 0 compared to the y coordinate of B.

In short, we apply the translation rule $(x,y) \to (x+11, y-3)$ to describe the motion of right 11, down 3.

8 0

3 years ago

3x + 1 = x + 19 x = ?

Alekssandra [29.7K]

3x+1=x+19
-1 -1
3x=x+18
-x -x
2x=18
/2 /2
x=9

8 0

3 years ago