Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.
1 answer:
Answer:
(B)
Step-by-step explanation:
Let us denote rectangular tiles by R and square tile by S, then
According to figure.
3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles
∴3R+2S+2R=2R+4S+R+4S
⇒5R+2S=3R+8S
⇒5R-3R=8S-2S
⇒2R=6S
⇒R=3S
Hence, 0ne rectangle =3 square
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Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
Answer:
9,765 cm
Step-by-step explanation:
We'll solve out the measurements for triangle ABC then it will be easy to figure out x
For triangle ABC, we have
Angle B = 90 degrees.
Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).
Angle C = 180 - 90 - 38 = 52 degrees.
To find the measurement of the BC line, which we label a, we know that
So, we can isolate the a to get:
Now we know the segment BC is 19.53 cm.
And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.
So, CD is half of BC.... so 19.53 / 2 = 9.765 cm