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Vikentia [17]
4 years ago
10

How do the measures of the side lengths of AABCcompare with those of AA'B'C' when AA'B'C' coincides with the other three triangl

es?
What can you say about the preservation of the side lengths of a shape during a rotation?

Mathematics
1 answer:
Nadusha1986 [10]4 years ago
7 0

Answer:

The measure of each side of is equal to the corresponding side of when coincides with the other three triangles. The side lengths of the triangle are preserved as the figure rotates.

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Consider the triangle A(4,0), B(-2,4), C(0,6)<br> What will be the equation of the altitude BM?
katovenus [111]

Answer:

BM: <u>y = (2/3) x + 16/3</u> with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

<u>y = (2/3) x + 16/3</u>   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0
2 years ago
Deshawn paid $9.20 for coffee and left a $2.30 tip.If he the same rate later today while out at dinner,how much will his tip be
xenn [34]
Around 4.50 would be the tip
8 0
3 years ago
PLEASE HELP ASAP A glass stand to display a doll is in the shape of a right triangular pyramid. The area of the base is 40.5 squ
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Answer: 202.5\ in.^3

Step-by-step explanation:

Given

The area of the base is A=40.5\ in.^2

height of the triangular prism is h=15\ in.

The volume of a triangular prism is  V=\dfrac{1}{3}Ah

The volume of given Prism is

V=\dfrac{1}{3}\times 40.5\times 15=202.5\ in.^3

The volume of the triangular prism is 202.5\ in.^3

8 0
3 years ago
What appears to be the scale factor used to create this dilation?
stealth61 [152]
The answer is 0.5


Just take one point from the original shape and one from the transformed one. The just write the ordered pair out. Mine was (3,4) and (1.5, 2) Now in order for you to get from 3 to 1.5 you need to multiply 0.5 so the scale factor that was used is 0.5

Pls mark Braille at
7 0
3 years ago
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A hypothetical square grows so that the length of its diagonals are increasing at a rate of 8m/min. How fast is the area of the
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Answer: The area of the square is increasing at a rate of 90.4 m2/min (square meters/minute)

Step-by-step explanation: Please see the attachments below

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3 years ago
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