Answer:
(the statement does not appear to be true)
Step-by-step explanation:
I don't think the statement is true, but you CAN compute the intercepted arc from the angle.
Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.
Therefore, adding the angles together, we have:
alpha + 90 + 90 + <FDG = 360
Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:
where 
is the current age of Shobos and 
is the current age of his mother.
Substituting the first equation into the second will allow us to solve for :
Substituting this value into the first equation gives us the age of the mother:
Answer:
Median
Explanation:
The median is the middle number. This answer fits best with the question asked.
The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.
The range is just how many numbers the data spans across. It has no relation to the middle of the data.
Answer:
60
Step-by-step explanation:
Sum the parts of the ratio, 5 + 9 + 13 = 27 parts
Divide the amount of concrete by 27 to find the value of one part of the ratio.
324 ÷ 27 = 12 ← value of 1 part of the ratio , thus
5 parts = 5 × 12 = 60 ← cement
9 parts = 9 × 12 = 108 ← sand
13 parts = 13 × 12 = 156 ← gravel
Answer:
Step-by-step explanation:
(-4,0) (0,3)
(3-0)/(0+4)= 3/4
y - 0 = 3/4(x + 4)
y = 3/4x + 3
