Order the following numbers from least to greatest. 4.23 9 2 V17

Find the measure of the the sides of DEF then classify it by it sides. D(8,-6) E(-1,-3) F(-2,5)

Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

$d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}$

$d=\sqrt{(3)^{2}+(9)^{2}}$

$d_D_E=\sqrt{90}\ units$

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

$d=\sqrt{(5+3)^{2}+(-2+1)^{2}}$

$d=\sqrt{(8)^{2}+(-1)^{2}}$

$d_E_F=\sqrt{65}\ units$

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

$d=\sqrt{(5+6)^{2}+(-2-8)^{2}}$

$d=\sqrt{(11)^{2}+(-10)^{2}}$

$d_D_F=\sqrt{221}\ units$

step 4

Classify the triangle by the measure of its sides

we have

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

so

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0

3 years ago

Does a plane have a definite beginning and end?

Lorico [155]

Technically no. It extends forever in the X and Y axis, but does not have a Z axis.

5 0

3 years ago

A woman takes 12 equal-sized steps. She walks a total of 10 yards

kiruha [24]

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

3 0

3 years ago

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

____ [38]

Answer:

24x

6x + x - 2

Step-by-step explanation:

You combining the 4 sides of the square

6x + 6x + 6x + 6x

Same with the triangle

3 0

2 years ago

Sixty-three people participated in a study to see if they were left-brain dominant or right-brain dominant. In the study, the pe

Cloud [144]

The two-way table is attached.

We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.

Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.

Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.

Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.

Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.

8 0

3 years ago

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