180 degrees. It would be half of the circle.
Answer:
3) 1 5/6 mi
4) a. 4 cm, 6 ft
b. 6.4 cm, 9.6 ft
c. same as part a
Step-by-step explanation:
3) Each of the given distances appears twice in the sum of side measures that is the perimeter. Hence by walking the perimeter twice, Kyle walks each of the given distances 4 times. His total walk is ...
4×1/3 + 4×1/8 = 4/3 + 4/8
= 1 1/3 + 1/2 = 1 2/6 + 3/6
= 1 5/6 . . . . . miles
___
4) Since the figure is rectilinear (all angles are right angles, and all sides are straight lines), the sum of partial dimensions in one direction is equal to the whole dimension in that direction.
a. 8 cm = 4 cm + x
8 cm - 4 cm = x = 4 cm
The distance in the room is ...
(4 cm)×(1.5 ft/cm) = 6 ft
b. 10.3 cm = 3.9 cm + y
10.3 cm - 3.9 cm = y = 6.4 cm
The distance in the room is ...
(6.4 cm)×(1.5 ft/cm) = 9.6 ft
c. The answer to part b was obtained in the same way as the answer to part a. The unknown dimension is the difference of given dimensions. The actual length in the room is the model length multiplied by the inverse of the scale factor.
The sum of prime factors of 2014 is 74
<h3><u>Solution:</u></h3>
Given that to find sum of prime factors of 2014
Let us first find the prime factors of 2014
A prime number is a whole number greater than 1 whose only factors are 1 and itself
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
<em><u>Prime factors of 2014:</u></em>
The Prime Factorization is:
Thus the prime factors of 2014 are 2, 19, 53
<em><u>Let us now find the sum of prime factors of 2014</u></em>
sum of prime factors of 2014 = 2 + 19 + 53 = 74
Thus the sum of prime factors of 2014 is 74
(2x+23)+(9x-5)=95
11x+18=95
x= 95-18/11
x=7
therefore substituting value of x in the given equations of angles:
angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58° Answer
to verify = 37°+58°= 95° ( which was given)
Answer:
C
Step-by-step explanation:
I am pretty sure but get another answer just to be sure.
