Answer:
x= 55 degrees
w = 5
Step-by-step explanation:
Triangle PQR contains two triangles, QPS and PSR.
Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.
In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.
Therefore,
angle P and angle S are equal. Also
Line QP and line PS are equal. This means
6w - 10 = w
6w-w = 10
5w = 10
w = 10/2 = 5
Angle Q + 100 degrees = 180 ( sum of angles on a straight line)
Angle Q = 180 - 100 = 80 degrees
Angle Q = Angle S(base angles of an isosceles triangle)
Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)
Angle PSR + x + 25 = 180
x = 180 - 25 - 100 = 55 degrees
Answer:
a). Not a proposition
b). Proposition
Step-by-step explanation:
A statement or a proposition is defined as a statement which is known to be true or it is known to be false. But a proposition cannot be both false and true.
If the sentence is not known to be true or false then the sentence is not considered to be a proposition or a statement.
a). All dogs go to heaven.
We do not have any idea that whether all dogs go to heaven or not. Since we do not know whether the sentence is true or false, hence it is not a proposition or a statement.
b). Do you have a Nintendo Switch or a PlayStation 5
In this sentence, I can have either a Nintendo Switch or a PlayStation 5. So the sentence can be either true or false. Since we know the sentence is can be either true or can be false, thus it is a proposition.
Answer:
a perfect square less than or equal to 16 is 16
Step-by-step explanation:
the perfect squares between 0 and 16 are
1 , 4 , 9 , 16
anyone of them can be your answer.
The y is greater than the function