The distance between the two towns is 75 miles.
<h3>What is the actual distance between the towns to the nearest mile?</h3>
We know that the scale of the map is 1 inch to 30 miles, this means that any measure that we get in inches in the map, should be multiplied by 30 to get the real measure in miles.
In this case, we know that in the map, the distance between the two towns is (4 + 1/2) inches.
Then the real distance in miles is given by:
d = (4 + 1/2)*30mi = 60mi + 15mi = 75mi
The distance between the two towns is 75 miles.
If you want to learn more about changes of scale
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Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.
The appropriate reasons for the given <u>statements</u> in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 <u>Vertical</u> <em>Angle</em> theorem
2. <1 and <2 are complementary
<2 and <3 are complementary <em>Congruent Complements</em> Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary <u>Congruent</u> Supplements
4. <1 and <2 are right angles All<em> Right Angles</em> are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are <u>congruent</u> and
<u>supplementary</u>, then each angle is
a <em>right angle</em>.
For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189
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Cosx=sqrt3/2 and tanx=sqrt3/3
Answer:
5/7
Step-by-step explanation
When dividing a fraction by a fraction it is the same as multiply the inverse of the bottom fraction, so 5/9 times 9/7 so the 9's cancel and your left with 5/7