Answer:
∠ 3 = 50°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle, so
90° + ∠ 3 = ∠ 1
90° + ∠ 3 = 140° ( subtract 90° from both sides )
∠ 3 = 50°
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
Step-by-step explanation:
A) Popular novels from the past often ask provocative questions that are important to consider today.
In this speech, President Reagan uses the ending of a popular novel of the '60s to help pose his question about whether history still has a place for America, her people and her ideals. He takes provocative questions written in an old novel and uses them to show important subjects that need to be addressed today.
B) Many Americans have given up and say that the nation is no longer great or a land of dreams.
In his speech Reagan states that many Americans have lost their faith in their country and no longer believe that it is a place for dreams and greatness. This people say that Americans must "cut our expectations, conserve and withdraw"
C) President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more.
After the passing of the iconic Hollywood actor, John "Duke" Wayne, the headlines on the newspapers called him the "Last American Hero". Reagan, being a close friend of the late actor, stated that Wayne would've hated being called that, since he knew there were still many other heroes in America.
Answer:
The question's most likely incorrect
Step-by-step explanation:
Because if it were to be rearranged as 15 being the hypotenuse, and 9 and 12 being the two other sides, that would have been more valid.
Because according to Pythagoras, 15 squared = 12 squared + 9 squared
225 = 144 + 81.
And then it WOULD form a right angled triangle.
So...
