What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
It is 4 wholes 5/16. when you divide 69 by 16 it gives you 4 remainder 5
Answer:
line l║line m
Step-by-step explanation:
See the diagram first.
Statement:
1. ∠ 2 and ∠ 5 are supplementary
Reason:
It is given
Statement:
2. ∠ 3 = ∠ 2
Reason:
They are opposite angles.
Statement:
3. ∠ 3 and ∠ 5 are supplementary
Reason:
As ∠ 3 = ∠ 2
Statement:
4. line l is parallel to line m
Reason:
Consecutive interior angles ∠ 3 and ∠ 5 are supplementary. (Answer)
All together there are 15 pieces of fruit
out of 15, 6 of them are lemons.
the probability that the fruit will be a lemon is
6/15
which reduces to
2/5
