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marshall27 [118]
2 years ago
6

Option 2

Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0
Answer: I would choose Route B

Explanation: Let’s assume the circle in route A is equal to 100m then half of it would be 50m

For route B: First let’s find the diameter
d=circumference/pi
d=100/3.14 is approximately 32m

Now let’s look at the extra road to complete the destination:

Judging by the photo, I would cut the circle into 4 pieces and take one piece to look at. You can see that the extra road is 1/3 of the 1 piece.

Since the perimeter is 100m (assumption) so 1/4 of it will be 25m
And since the extra road is 1/3 of the 1 piece it means that it’s 1/3 of 25m

1/3 x 25 is approximately 8 and since there are 2 extra road 8 x 2=16m

Now we add the diameter with the extra we get 32+16=48m

And route B is shorter than route A by 2m so I would choose route B.

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What does the measure of B Equal?
defon
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.

Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.

Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.

Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.

m<BAC + m<B + m<BCA = 180

32 + m<B + 41 = 180

m<B + 73 = 180

m<B = 107
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The difference between the set of non-negative real numbers and the set of positive real numbers is:
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So we have our answer as {0}

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