Answer:
7(x+3)
Step-by-step explanation:
7x+21
7x = 7*x
21 = 7*3
We can factor out a 7 from both terms. What remains is what is inside the parentheses
7(x+3)
Circumference=2*pi*r or pi*d so if its 16pi you know that your diameter is 16 wich means your radius is 8 because d/2 is your radius. plug the 8 into the area formula wich gives you the formula pi*8^2. 8squared is 64. 64 times pi is 201. <span>or 64pi wich is the area of the same circle with the circumfernce of 16pi
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Answer:
6.5
Step-by-step explanation:
The sum of all angles in a triangle are 180 degrees.
=> 10x -10 + 8x + 10x + 8 = 180
=> 28x -2 = 180
=> 28x = 182
=> x = 6.5
So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees
Angle B = 8 x 6.5 = 52 degrees
Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.
55 + 52 + 73 = 55 + 125 = 180 degrees
Answer:
Step-by-step explanation:
Let q represent the number of quarters Theresa has. Then the value of her coins is ...
0.25q + 0.10(20 -q) = 2.75
0.15q = 0.75 . . . . . . . . . subtract 2.00, collect terms
q = 0.75/0.15 = 5
Theresa has 5 quarters and 15 dimes.
Make use of the fact that side lengths in similar triangles are proportional.
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x
