The following triple represents the side lengths of a triangle. Determine whether the triangle is a 45-45-90 triangle, a 30-60-90 triangle, or neither.2, 1, 2squared3.

Answer Choices:
a.
45-45-90 triangle
c.
neither
b.
30-60-90 triangle

Answers

Answer 1
Answer: If the sides of the triangle have lengths of: 2, 1, and 2√3

Then, the triangle is a

c. neither a 45-45-90 triangle nor a 30-60-90 triangle.

Looking at the lengths, if the triangle is a right triangle
2 and 1 must be the measure of the legs
2√3, the measure of the hypotenuse

If we use the Pythagorean theorem,
2^2 + 1^2 = (2√3)^2
5 = 12 (not correct)

Therefore, the triangle is not a right trangle


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What is the slope of a line that passes through (–4,–13) and (19,11)?a. 23/24
b. 24/23
c. -23/24
d. - 24/23

Answers

for points (x1,y1) and (x2,y2)
slope=(y1-y2)/(x1-x2)

(-4,-13)
(19,11)
x1=-4
y1=-13
x2=19
y2=11

slope=(-13-11)/(-4-19)=-24/-23=24/23
B is answer
B. (11-(-13))/(19-(-4)) = (24)/(23)

8.92*10^9 in standard notation

Answers

8,920,000,000

Basically just add 9 0's to that number, using the first few to get rid of the decimal places.

Perimeter of a triangle with the given sides 12in 9in 15in

Answers

36 in for the triangle the perimeter is the outside length so it...
to find a perimeter add all the sides of the shape.  so 12+9+15 is 36.  the perimeter of the triangle is 36

Write the equation of a line that is parallel to the following:1. x = 5

2. y = -3

Answers

Answer:

1.  x=6

2.  y=2

Step-by-step explanation:

If x=5, the line is vertical, so we need a vertical line so that we are parallel.  A vertical line is x= a constant

We can choose the value for x as long as it is not 5, that would make it the same line.  I will choose x=6

If y=-3=5, the line is horizontal, so we need a horizontal line so that we are parallel.  A horizontal line is y= constant

We can choose the value for y as long as it is not -3, that would make it the same line.  I will choose y=2

The following data are arranged in ascending order and the median of the data is 60.Find the value of x.
26, 29, 42, 53, x, x + 2, 70, 75, 82, 93

Answers

The median of the data is 60. That means the two middle numbers divided by 2 = 60.

(x + x + 2) / 2 = 60...multiply by 2
2x + 2 = 120
2x = 120 - 2
2x = 118
x = 118/2
x = 59

x + 2 = 59 + 2 = 61

so ur numbers go : 26,29,42,53,59,61. 70, 75, 82, 93

What multiplies to -240 and adds to 8

Answers

The answer is -12*20=-240 and add to 8.    -12+20=8
-divide -240 \ 8= -30