Answer:
Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. The angle on "top" of 
corresponds with the angle marked as 
. Therefore, its measure must also be .
Since these two angles form one side of a line which has 180 degrees, we have the following equation:
Combine like terms:
Subtract 15 from both sides:
Divide both sides by 3:
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
True
The two shorter lengths do not add up to more than the longest length. 3+3 is less than 9. Therefore, even if the two shorter lengths lay on top of the longer side, the two ends cannot meet to form a closed 3 sided figure
Answer:
Always.
Step-by-step explanation:
That is the reason why when you are trying to calculate the area of a triangle you do the base x height divided by two or in half. If you printed out the triangle twice then cut it out and put the two together it would be a rectangle.
