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frozen [14]
3 years ago
7

Along the highway, the children see a sign stating that. Old towne is 36 1/3 miles away and bridgeway is 52 1/4 miles away. How

far is it from old towne to bridgeway
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

The distance from Old Towne to Bridgeway is 15 11/12 miles.  

Step-by-step explanation:

In order to find the distance from Old Towne to Bridgeway, we need to subtract the posted distances for these two cities.  Since Old Towne is 36 1/3 miles away and Bridgeway is 52 1/4 miles away, we need to subtract 36 1/3 from 52 1/4.  We cannot subtract fractions with unlike denominators, so we need to find the lowest common denominator of 3 and 4, which is 12.  When we make the fraction of 1/4 over a denominator of 12 we get 3/12 and when we convert 1/3 to a fraction with a denominator of 12, we get 4/12.  Since we can not subtract 4 from 3, we need to take one away from 52 and add it to our fraction to become 51 15/12.  Subtracting 51 15/12 - 36 4/12 = 15 11/12 miles.

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Answer:

A

Step-by-step explanation:

The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that x equals half of the difference of 30\textdegree and the measure of the unlabeled arc.

First, we need to find the measure of the unlabeled arc, since we can't find x without it. We know that the measure of the full arc formed by the circle is 360\textdegree, so the measure of the unlabeled arc must be 360-30-100-100=130\textdegree by the Arc Addition Postulate.

Now, we can find x. Using all of the information known, we can solve for x like this:

\\x=\frac{1}{2} (130\textdegree-30\textdegree)\\=\frac{1}{2} (100\textdegree)\\=50\textdegree

Hope this helps!

5 0
2 years ago
What is the circumference of a circle with the radius of 5 cm use 3.14 for pi​
Archy [21]

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Step-by-step explanation:

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2 years ago
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6 0
3 years ago
Someone pls help im so close
Sliva [168]

Answer:  A) 126.6

<u>Step-by-step explanation:</u>

Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.

∠A + ∠B + ∠C = 180

∠A + 85 + 53 = 180

∠A + 138 = 180

∠A = 42

Now we have:

                       A = 42          B = 85       C = 53

                       a = 85          b = ???       c = ???

We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).

\dfrac{\sin 42}{85}=\dfrac{\sin 85}{b}\\\\\\b(\sin 42)=85(\sin 85)\\\\\\b=\dfrac{85\sin 85}{\sin 42}\\\\\\b=\large\boxed{126.547}

4 0
3 years ago
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Nastasia [14]

Answer:

  x = 2

Step-by-step explanation:

The solution set can be found by dividing the inequality by the coefficient of x.

  6x > 7

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The smallest integer greater than 7/6 is 12/6 = 2.

The smallest integer solution is x = 2.

5 0
2 years ago
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