There are two equal sides of 8, which means this is an isosceles triangle. With an isosceles triangle, there are also two equal angles (30° each in this case). If angle C equals 30°, then angle B also equals 30°. Subtract angles B and C from the total degrees in a triangle.
Triangles Degrees= 180° total
Find angle A:
= total triangle degrees - < B - < C
= 180° - 30° - 30°
= 120°
ANSWER: Angle A is (B) 120°
Hope this helps! :)
When using the distributive law
answer is: 45x-27
The median is 8 and the mode is 6, therefore the difference between the median and the mode is 2
Answer:
The sum of five scores that is not the median is, 336
Step-by-step explanation:
Average defined as the the sum of the observation to the total number of the observation.
Given: The sum of the five scores is 420
Then, by definition of average;
Average of five distinct score = 
It is also, given that the average of five distinct scores has the same value as the median of the five scores.
⇒Median of five scores = 84
Since, scores are distinct, therefore
Sum of all scores that is not the median = Sum of five scores - median = 420-84 = 336
therefore, the sum of five scores that is not the median is, 336
<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
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Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
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To sum things up so far, we have these known properties of triangle ABC
- angle A = 107 degrees
- side c = side AB = 24 miles
- angle B = 42 degrees
- angle C = 31 degrees
Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
