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elixir [45]
3 years ago
8

given the diagram below, Michael writes, "Segment AC is congruent to segment AC." Which of the following reasons allow him to wr

ite this statement?

Mathematics
1 answer:
agasfer [191]3 years ago
8 0

Answer:

Reflexive property

Step-by-step explanation:

yes

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A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu
arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

          A cylinder and a cone have the same volume

          Cylinder has a radius 2 inches and height of 3 inches.

          Cone has a radius of 3 inches

Step:1

           For Cylinder'

           Formula to calculate the volume of cylinder is,

                        V = \pi r^{2} h..................................................(1)

          where,

                      r - 2 inches

                      h - 3 inches

         From the equation (1)

                           = \pi × 2^{2} × 3

                           = 37.70

                        V = 37.70 cubic inches

Step:2

         For cone,

         Formula to calculate the volume of cone is,

                     V = \pi r^{2} \frac{h}{3}..................................................(2)

         From the statement,

                      cylinder and a cone have the same volume

                      V_{cylinder} = V_{cone}

                          37.70 = \pi × 3^{2} × \frac{h}{3}

                          37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

            Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0
3 years ago
Which statement best explains the relationship between lines FG and HJ?
Taya2010 [7]

Answer:they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

FG’s slope is 3/4 while HJ’s slope is 2/3. i just had this question on my test lol

5 0
3 years ago
Read 2 more answers
4t+3c=$81.00<br> 10t+3c=$135.00
muminat
\left \{ {{4t+3c=81.00\:(I)} \atop {10t+3c=135.00\:(II)}} \right.
<span>Simplify the first equation by (-1)
</span>\left \{ {{4t+3c=81.00\:*(-1)} \atop {10t+3c=135.00\:\:\:\:\:}} \right.
<span>Once simplified, cancel the opposing terms.
</span>\left \{ {{-4t-\diagup\!\!\!\!3c=-81.00} \atop {10t+\diagup\!\!\!\!3c=135.00}} \right.
Now find the value of "t".
\left \{ {{-4t=-81.00} \atop {10t=135.00}} \right.
-------------------------------
6t = 54.00
t =  \frac{54.00}{6}
\boxed{\boxed{t = 9.00}}\end{array}}\qquad\quad\checkmark

Now find the value of "c", replace the found value of "t" in the first equation:
4t+3c=81.00\:(I)
4*9+3c=81.00
36 + 3c = 81.00
3c = 81.00 - 36
3c = 45.00
c =  \frac{45.00}{3}
\boxed{\boxed{c = 15.00}}\end{array}}\qquad\quad\checkmark

Answer:
<span>The values ​​of "t" and "c" satisfying the linear system are successively: $ 9.00 and $ 15.00</span>
3 0
3 years ago
6(10+z+3) whats the answer i need help and also when someone texts you lol what would you say
jeka94
6(10+z+3)
= (6)(10 + z +3)
= (6)(10) + (6)(x) + (6)(3)
= 60 + 6x + 18
= 6x + 78
3 0
3 years ago
It takes 2 minutes to print 3 photos. AT this rate, how long does it take to print 10 photos?
sladkih [1.3K]

Answer:

15 photos

Good luck & have a great day!

6 0
3 years ago
Read 2 more answers
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