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Snezhnost [94]
3 years ago
5

6. The rungs of a ladder are each perpendicular to one side of the ladder. What can you conclude about the rungs of the ladder?

Justify your answer by stating the theorem you used. ​
Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer: You can conclude that the ladder rungs are parallel using the Parallel Transversal Theorem.

Step-by-step explanation: Picture a ladder, all of the rungs are horizontal, but the sides are vertical. So all of the rungs are perpendicular to the sides, making right angles. If all of the rungs make 90 degree angles to the sides, that means that all of the rungs are straight with no angle. This makes sure that the rungs will not hit each other, so they are parallel.

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The sales tax on the model rocket shown is $1.92. What is the percent of sales tax?
fgiga [73]
It’s 192% because you just need to remove all the points :) hope i helped
3 0
3 years ago
Which constants could each equation be multiplied by to eliminate the x-variable using addition in this system of equations? 2 x
Sever21 [200]

Answer:

3. The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

2 x + 3 y = 25 (1)

-3 x + 4 y = 22 (2)

Multiply equation (1) by 3 and (2) by 2.

3(2x) = 6x

2(-3x) = -6x

When you add the two equations, x will get cancelled last

4 0
3 years ago
Read 2 more answers
Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B21%20-%204x%7D%7B9%7D" id="TexFormula1" title="\frac{21 - 4x
schepotkina [342]

Answer:

x = -\frac{12}{5}

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.  

1) Multiply both sides by 9 to get rid of the fractions.  

\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\

2) Distribute the 3 to 8x and 15. Then, combine like terms.

21-4x + 24x + 45 = 18 \\66 + 20x = 18

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}

Thus, x = -\frac{12}{5}.

3 0
3 years ago
Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
ololo11 [35]

Answer:

The minimum value of f(x) is -21 and it occurs at x = 1

Step-by-step explanation:

f(x) =3x^2-6x-18

Factor out the greatest common factor out of the first two terms

f(x) =3(x^2-2x)-18

Complete the square

-2x/2 =-1  (-1)^2 = 1

Add 1  (But remember the 3 out front so we are really adding 3  so we need to subtract 3 to remain balanced)

f(x) = 3(x^2 -2x+1) -3 -18

f(x) = 3(x-1)^2 -21

This is vertex form

f(x) = a(x-h)^2 +k  where (h,k) is the vertex and a is a constant

The vertex is (1,-21)  

Since a > 0 this opens upward and the vertex is a minimum

The minimum value of f(x) is -21 and it occurs at x = 1

6 0
3 years ago
Mrs. Yin bought 0.81 of a pound of turkey and 0.69 of a pound of chicken. Did Mrs. Yin buy more turkey or more chicken? Show how
S_A_V [24]
Mrs. Yin bought more turkey than chicken. I know because 0.80 is greater than 0.69
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