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IrinaVladis [17]
3 years ago
10

A baker has 14 boxes of muffins to fill. Each box has 12 muffins. He has already boxes 45 muffins. How many more muffins does th

e baker need to box
Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

123 more muffins

Step-by-step explanation:

To find out how many to box in total you would do 14 x 12 = 168

168 - 45 = 123

Since 45 were already boxed, 123 more would be needed to make 14 boxes.

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In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.

<h3>How to explain the triangle?</h3>

a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.

b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.

c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.

d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.

Learn more about triangles on:

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Answer:

Check pdf

Step-by-step explanation:

Download pdf
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