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1 answer:
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Answer:
The measurement of EF is 1.98 units
Step-by-step explanation:
In Δ DEF
∵ m∠E = 90°
∴ FD is the hypotenuse of the triangle
∵ m∠D = 26°
∵ EF is opposite to angle D
- We can use the sine ratio to find it
∵ sin D = ⇒ (opposite side / hypotenuse)
∵ FD = 4.5 units
∴ sin(26) =
- Multiply both sides by 4.5
∴ 4.5 sin(26) = EF
∵ sin 26° ≈ 0.44
∴ 4.5(0.44) = EF
∴ 1.98 = EF
The measurement of EF is 1.98 units
If point Y is between points X and Z, then
XY + YZ = XZ
In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)
So 6b + 8b = 175
Can you finish it?
XY + YZ = XZ
In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)
So 6b + 8b = 175
Can you finish it?