Given:
A figure of a triangle.
To find:
The measure of angle A.
Solution:
Label the points in the figure as shown below.
In the below figure,
(Vertically opposite angles)
(Congregant angles)
Using exterior angle theorem in triangle ABC, we get
Isolate the variable term x.
Now, the measure of angle A is:
Therefore, the correct option is B.
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
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Answer:
The passenger train traveled at a speed of 25 miles/hour
Step-by-step explanation:
In this question, we are asked to calculate the rate at which a particular passenger train is traveling.
We use the information in the question to answer as follows;
Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.
Mathematically, we know that time can be calculated as distance/ time.
Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.
We know their times are equal;
Hence;
100/x = 80/(x-5)
We cross multiply
100(x-5) = 80x
100x -500 = 80x
100x-80x = 500
20x = 500
x = 500/20
x = 25 miles per hour
Answer:
the 4th option
Step-by-step explanation:
the 4th one
Answer:
The answer is D.
Step-by-step explanation:
You have to add both functions together :
