Answer:
u you
Step-by-step explanation:
Step-by-step explanation:
it is really simple.
first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).
and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.
so,
angle 3 = 37°
that means
angle 1 = 37° too
angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).
angle 2 = 180 - 37 = 143°
and angle 4 = 143° too
Answer:
Step-by-step explanation:
Steve 11/2 batches / 3/2 hrs = 11/2(2/3) = 11/3 = 3 2/3 = 3 22/33 batches/hr
Vondra 10/3 batches / 11/12 hr = 10/3(12/11) = 120/33 = 3 21/33 batches/hr
Steve had a very slightly faster batch rate by only 1/33 batch/hr
Answer:
#15) B. 30 mn^5
#17) B. 1/2
Step-by-step explanation:
<h2>#15:</h2>
The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.
All of these measurements are given so all that you need to do is to substitute these values into the formula.
Substitute 3 for a, 9 for b, and 5 for h.
Solve inside the parentheses first. Add 3 and 9.
Multiply 12 and 1/2 together.
Multiply 6 and 5.
We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.
After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.
Therefore the final answer is B. 30 mn^5.
<h2>#17:</h2>
When going down from 32 to 8 to 2, you can see that each number is being divided by 4.
32 / 4 = 8...
8 / 4 = 2...
So to find the next number in this sequence you would divide 2 by 4.
The answer is B. 1/2.
Area of the rectangle .
Solution:
Given data:
Height of a rectangle =
Width of a rectangle =
Area of the rectangle = height × width
Multiply each term of height with the each term of width.
Adding like terms of the polynomial.
Therefore, Area of the rectangle .