Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
To add, subtract, multiply or divide the number given to get a whole number or an integer
Answer:
1 The first digit of the quotient is 3
2. 34 prizes per booth
3. 19 prizes left over
Step-by-step explanation:
We need to divide 985 by 29
29 goes into 98 3 times
29*3 = 87 with 13 left over
135 divided by 29
29*4 =116 135-116 =19
985÷29 = 34 with 19 left over
Answer:
3
Step-by-step explanation:
Each of the lines lengths multiply by 3.
Answer:
Step-by-step explanation:
Given that tank has the shape of inverted circular cone
Height = 10 feet and radius = 4 feet
After water pumped out height = 5 ft
Hence volume of water pumped out = 
Here we have r/h is constant always
Hence 
Substitute to get volume of water pumped out = 
Mass of water = density x volume = 
Work done = force x displacement
= mass x accen x displacement
Here acceleration = gravity = 32.2 ft/sec^2
Displaement = height reduced = 5 ft
W=2912(32.2)(5)\pi =468832\pi foot -pound
