The teacher will use 3 rolls only to have perfect measurements.
1 yard = 3 feet
4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need
9×4 yards of border
= 36 yards of border
= 108 feet of border
Also, there is a small bulletin board that only needs 12 feet border
Hence, in total there is a need for
108 + 12 = 120 feet border.
The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls
i.e. 3 rolls
Hence, the teacher will use 3 rolls only.
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These triangles are congruent by AAS condition hence the statement is true
3(y-1)=y-11
Distribute:
3y - 1 = y- 11
Add 11 to both sides
3y - 12 = y
subtract 3y on both sides
-12 = -2y
Divide by 2y
y= 6
Answer:
B. 3 + 5i
Step-by-step explanation:
-2i + (9 - 3i) - (6 - 10i) =
= - 2i + 9 - 3i - 6 + 10i
= 5i + 3
= 3 + 5i
Answer:
x = 53.5
Step-by-step explanation:
x is one half the difference of the intercepted arcs, that is
x = 0.5(137 - 30) = 0.5 × 107 = 53.5
