Answer:
11. c
12. c
Step-by-step explanation:
11. Since Angle RST = 60 degrees, Angle RTS = 60 degrees.
Triangle STU is a right triangle, so Angle STU and Angle SUT are both 45 degrees.
Angle RTS + Angle STU + Angle UTQ = 180 degrees
60 + 45 + Angle UTQ = 180
Angle UTQ = 180 - 105
= 75 degrees
12. Using the corresponding angles theorem, x = 45 degrees and y = 35 degrees.
x + y
45 + 35
80
The value of x would be
D. 120 degrees
That is because a line is 180 degrees, subtract 60 degrees since angle is going to be 60 degrees (equilateral triangle) like this:
180 - 60 = 120 degrees
To turn a mixed number into an improper fraction, multiply the bottom number of the fraction, or the denominator by the whole number, and then add the top number of the fraction to that number. Put the number you get over the denominator For example:
2 1/4⇒ 4 x 2=8 8+1= 9
9/4 would be your improper fraction
x = side length
Area of a square = x^2
Area of a cube = x^3
The squaring operation is directly tied to the geometric shape of a square. The naming is not a coincidence. The same can be said about the cubing exponent being connected to a 3D cube in geometry.
Notice how x^3 can be written as x^2*x. Buried inside the volume of a cube formula is the area of a square. We can effectively rewrite that second equation as
volume of a cube = (area of a square)*x
where x is the side length of the cube and square
This idea of tying together the volume and area like this will be helpful when setting up other volume formulas (eg: volume of a prism).
Answer:d≈5.2cm
Step-by-step explanation:
d=3a=3·3≈5.19615cm
