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3 years ago

Help me the questions and answer choices are in the picture

Mathematics

1 answer:

Anika [276]3 years ago

3 0

Using the Triangle Inequality Theorem

The sum of two side lengths of a triangle is always greater than the third side

first one: 6, 22 , 10
6 + 22 > 10 : yes
22 + 10 > 6 : yes
6 + 10 > 22 : No because 16 < 22
These 3 lengths could NOT be lengths of sides of a triangle

second one: 8 , 15 , 22
8 + 15 > 22 : yes
15 + 22 > 8 : yes
8 + 22 > 15 : yes
These 3 lengths could be lengths of sides of a triangle

Answer:
Second option
8 cm, 15 cm, 22 cm

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Give step by step answer

Kisachek [45]

Answer:

2 1/2 cups of vegetables

Step-by-step explanation:

This is an averages question, so add all numbers and divide by amount of numbers

2+1+2+1+3+6=15

15/6=2 1/2

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2 years ago

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F(x) = x2 + 5x - 1 is shifted 3 units left. The result is g(x). What is g(x)?

Makovka662 [10]

Answer:

g(x) = (x + 3)^2 + 5(x + 3) - 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation: f(x) = x^2 + 5x - 1.

Shifting the graph of this function 3 units left results in

g(x) = (x + 3)^2 + 5(x + 3) - 1

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3 years ago

Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014

anastassius [24]

Answer:

12. x = 6, side = 83
13. x = 18, side = 29
14. x = 11, sides = 74, 74 and 37
15. x = 23, sides = 95, 95 and 108

Step-by-step explanation:

11 is incomplete, can't solve

The triangle is equilateral, so all sides are equal, using one pair to find x:

13x + 5 = 17x - 19
17x - 13x = 5 + 19
4x = 24
x = 6

Each side is:

13*6 + 5 = 78 + 5 = 83

13.

Sides are equal as triangle is equilateral

QR = 2x - 7
RS = 5x - 61
QS = x + 11

Finding x by comparing two sides

2x - 7 = 5x - 61
5x - 2x = 61 - 7
3x = 54
x = 18

Sides are equal

18 + 11 = 29

14.

Equal sides of isosceles triangle:

CD = DE
9x - 25 = 6x + 8
9x - 6x = 8 + 25
3x = 33
x = 11

Sides are

CD = DE = 9*11 - 25 = 99 - 25 = 74
CE = 10*11 - 73 = 110 - 73 = 37

15.

Equal sides of isosceles triangle WXY, WX = WY

WX = 4x + 3
WY = 7x - 66
XY = 5x - 7
4x + 3 = 7x - 66
7x - 4x = 3 + 66
3x = 69
x = 23

Sides are:

WX=WY = 4*23 + 3 = 95
XY = 5*23 - 7 = 108

6 0

3 years ago

Read 2 more answers

In a class of all girls, 22 of the 28 students have brown hair. What is the

Verdich [7]

Answer:

$\frac{3}{14}$

Step-by-step explanation:

Total Students = 28

Brown Hair = 22

NOT Brown Hair = 28 - 22 = 6

The probability of an event is the number of that event divided by total number.

So, let denote probability of without brown hair be P(NOT BROWN). So, we can say:

P(NOT BROWN) = 6/28

Reducing, we get:

P(NOT BROWN) = 3/14

4 0

3 years ago

Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$