Answers:
If an angle is labeled with a single letter, that letter represents the <u> vertex </u> of the angle.
If more than one angle has the same vertex, you must use <u> 3 </u> points to name the angle. The <u> </u><u>middle </u> point named must be the vertex.
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Explanation:
If we have a single triangle, and no other extra lines, then we can use single letters to name the three angles. Each vertex of the triangle corresponds to the vertex of that angle.
If you were to draw many triangles, in which some may or may not overlap, you'll mostly likely need to name the angle using 3 letters. This is so you are very specific about which angle you're talking about. The middle letter is always the vertex. The left and right letters are points on the arms of the angle. The order of the left and right letters doesn't matter as long as the middle letter stays the same. So something like angle ABC is the same as angle CBA.
These ratios are not proportional.
Explanation:
If the ratio 8:32 were simplified, it would equal 1:4 because they can both be divided by 8. But since 16 x 4 does not equal 72, they cannot be divided by 4 to make a simplified ratio such as the first example.
Hope I helped, and good luck!
Answer:
15% of 100,000 is 15000, so that would be 100,000 + (15,000*3) = 145,000 after 3 years.
Answer:
If M<6=72
Step-by-step explanation:
Then What is M
M=72/6 =12
so M<7=12 by 7=84
therefoe M<7=84
Answer:
<em>Jane traveled 8 miles farther then her trainer</em>
Step-by-step explanation:
<u>The Pythagora's Theorem</u>
In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Where
c = Hypotenuse or largest side
a,b = Legs or shorter sides
Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.
Her total distance traveled is 16 + 12 = 28 miles
Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.
We can calculate the length of his route as:
![c=\sqrt{16^2+12^2}](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B16%5E2%2B12%5E2%7D)
![c=\sqrt{256+144}=\sqrt{400}=20](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B256%2B144%7D%3D%5Csqrt%7B400%7D%3D20)
c = 20 miles
The difference between their traveled lengths is 28 - 20 = 8 miles
Jane traveled 8 miles farther then her trainer