Answer:What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Answer:
The y-intercept is (0,5)
Step-by-step explanation:
y-intercept can be found by plugging x=0 into given equation
f(x)=5(6)^0=5(1)=5
which same as given y-intercept (0,5)
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Answer:</h2>
Definitely we can't prove that triangle DFG is congruent to MNP. The reason is because the angles that are congruent don't match the corresponding vertex, that is, the corresponding vertices of these triangles are as follows:
D is corresponding to M
F is corresponding to N
G is corresponding to P
But the angle we know in the first triangle lies on vertex D while on the second triangle the angle lies on vertex P but it should lies on vertex M, so we'd prove they are congruent by Side-Angle-Side Postulate (SAS).
Answer:
146 people
Step-by-step explanation:
The formula for mean = sum of values/number of values
For Monday to Friday , the average number of people that came = 98
Hence, the total number of people that came is calculated as:
Number of people that attended Monday to Friday = 98 × 5 = 490 people
The number of people that came on Saturday = 162 people
The mean average for the whole week is 114.
The number of days in a week = 7 days
The number of people that came in on Sunday is represented = x
Therefore,
490 + 162 + x/7 = 114
Cross Multiply
652 + x = 798
x = 798 - 652
x = 146 people
Therefore, 146 people visited on Sunday
Answer:
length of an arc = 1unit
Step-by-step explanation:
given that the circumference of a circle = 6
central angle = 60
length of the arc =?
recall that the circumference of a circle = 2πr
6 = 2πr
r = 6/2π
now to calculate the length of an arc
recall,
length of an arc = 2πr(Ф/360)
length of an arc = 2π(6/2π) × 60/360
length of an arc = 6 × 60/360
length of an arc = 360/360
length of an arc = 1unit
therefore the length of the arc whose circumference is 6 and arc angle is 60° is evaluated to be 1unit
