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ikadub [295]
2 years ago
7

Knowing that AQPT - AARZ, a congruent angle pair is:

Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

Angle T is congruent to Angle Z

Step-by-step explanation:

Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.

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Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou
Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

x=z+136

We also know that Y weighs 117 pounds more than car Z, this can be express as:

y=z+117

Finally, we know that the total weight of all the cars is 9439, then we have:

x+y+z=9439

Hence, we have the system of the equations:

\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}

Now that we have the value of z we plug it in the first two equations to find x and y:

\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

4 0
1 year ago
Aiden's bill for lunch at a restaurant is $14.50, and he wants to leave a 18% tip.
zhannawk [14.2K]

Answer:

Tip: $2.61

Total: $17.11

Step-by-step explanation:

tip = total cost * rate of tip

Add the tip to the original bill, that's the total.

I hope this helped.

4 0
2 years ago
Help. zoom in thank you if you help plz
Troyanec [42]
Multiply by b x h

b=base

h=height

and you will get your answer
8 0
3 years ago
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ASAPPP 80 POINTSS How many times as large as the radius of a hydrogen atom are the radii of the mercury and the radii of the ura
Fittoniya [83]

Answer:

divide 1.5x10^-10 by 2.5x10^-11 which is 6 meaning the Mercury atom is 6 times larger than a hydrogen atom.

Step-by-step explanation:

im sure thats right !

3 0
3 years ago
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Help me! I need to finish these questions quickly!!!!
goldfiish [28.3K]

Answer:

18

Step-by-step explanation:

4 0
2 years ago
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