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zzz [600]
3 years ago
14

The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a vol

ume of cubic centimeters ​

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

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AABC has vertices at A(12, 8), B(4,8), and C(4, 14).
borishaifa [10]

Answer:

<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

  • length of AB = √[(12-4)² + (8-8)²] = 8
  • length of AC = √[(12-4)² + (8-14)²] = 10
  • length of CB = √[(4-4)² + (8-14)²] = 6

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

  • length of MN = √[(4-4)² + (16-8)²] = 8
  • length of MO = √[(4+2)² + (16-8)²] = 10
  • length of NO = √[(4+2)² + (8-8)²] = 6

Therefore:

  • AB ≅ MN
  • AC ≅ MO
  • CB ≅ NO

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

3 0
4 years ago
If you receive a monthly payment of $1500, will you have enough money to pay for the following items: Rent: $750, Cable &amp; In
Nitella [24]

Answer:

No

Step-by-step explanation:750+200=950 +75=1025 +100=1125 +500=1625

5 0
4 years ago
What does x equal? <br>-x/3 + 4 = 20
zavuch27 [327]
X is equal to 48

First subtract 4 from both the sides to get
-x/3 = 16
Then multiply both sides by 3 to get x alone
-x = 48
Now divide the both sides by -1, since we can't have x being negative to get
X = 48
Hope this helps:)
3 0
4 years ago
For circle H, JN = x, NK = 2, LN = 3, and NM = 6. Solve for x. circle H with chords JK and LM intersecting at N inside the circl
vredina [299]

Answer:

x=9

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

JN*NK=LN*NM ----> by intersecting chords theorem

substitute the given values

(x)(2)=(3)(6)

solve for x

x=18/2\\x=9

4 0
3 years ago
Read 2 more answers
jin donated earning from 2 songs to charity. he donated 864 altogether jins second song earned 5 times much as his first song. h
bulgar [2K]
Since Jin donated his money to charity and he donated $864, that is our total. 
We don't know the first amount, so we can call it x. 
We don't know the second amount either, but we do know it was 5 times the first, so 5*x = 5x.
We first need to find how much Jin earned for the first song. We need to find x. 
x + 5x = 864, then combine like terms6x = 864, then divide both sides by 66x/6 = 864/4x = 144
The fist song made $144. But the second made 5 times that. So we just multiply 144 by 5. 144*5=720. 
The final answer is $720.

3 0
3 years ago
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