Answer:
x=-1
Step-by-step explanation:
-3x+8=11
subtract 8 from both sides
-3x=3
divide by -3 on both sides
x=-1
The little lines through the two sides mean they are the same length.
When the two sides are the same length the 2 corresponding angles are also the same, so Angle A and Angle B are both 34 degrees.
The three inside angles of a triangle equal 180, so angle C = 180 - 68 = 112
Angle C is given as 4y, so 4y = 112
Divide both sides by 4:
y = 112 / 4
y = 28
There would be 63 old houses because 28/63 is the same as 4/9
Answer:
4
Step-by-step explanation:
64 divided by 16 = 4
The statement is valid. To set up a Euler diagram, follow these steps
Step 1) Draw a large circle and label it circle A
Step 2) Inside this large circle, draw a smaller circle and label it circle B
Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means.
So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"
This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement.
