Answer:
Part 1: 31x+25=180
part 2: x=5
Step-by-step explanation:
there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).
so, 180-151= 29
29° is the third angle on the traingle.
now, there are 180° in a triangle, therefore to find an equation for x:
29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)
now simplify this equation to get:
31x+25=180 (PART 1)
to find x simply solve the equation:
31x=180-25
31x= 155
x= 155/31
x=5 (PART 2)
Answer:
Option D
Pyramid
Step-by-step explanation:
The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>
<em></em>
Scanning through the options, we can see that the only option that fits the description is the pyramid.
The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.
<em>The other options get screened out here.</em>
A cube must have a square base.
A triangular prism must have a triangular base
A rectangular prism must have a rectangular base
Thus, option D: The Pyramid is the correct answer.
Answer:
Step-by-step explanation:
x^2 + 1 = 4
x^2 = 3
Answer: Volume of the cone = 47.12 cubic feet.
Step-by-step explanation:
You didn't finish the question so Idid the best with what I had, you also didn't include the image that I think was supposed to be included.
To solve for the full volume including the cylinder, use the cylinder's volume formula.
Volume of a cylinder = height (pi) (r^2) and then add it to the 47.12.
Volume of a cone is pi(r^2)(h/3)
plug and chug!
h stands for height and r stands for radius.
We are given the statement stating five friends dividing three bags of apples equally. IN this case, since 3 is not divisible by 5, then the answer is a fraction. The numerator is the number of bags of apples and the denominator is the number of friends. The answer is 3/5