Answer:
14. C 41
15. k = 72
Step-by-step explanation:
14.
For parallel lines, alternate exterior angles must be congruent.
3x - 43 = 80
3x = 123
x = 41
15.
The sum of the measures of the angles of a triangle is 180 deg.
k + 33 + 75 = 180
k + 108 = 180
k = 72
Answer:
three consecutive numbers that add up to 84 are 27,28 and 29
Step-by-step explanation:
27+28=55
55+29-=84
3/5 miles = 0.6 miles
0.6/4= 0.15 miles
Nikki walked 0.15 miles or 3/20 miles.
Multiply the bottom of the fractions together (4*5=20) and the tops (3*1=3) to get 3/20.
Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.

And we solve from there:

So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Answer:
1/38^8
Step-by-step explanation:
3.8 times 10 is 38
so it would be 38 to the power of -8 ( 38^-8 )
then you simplify
you have to rewrite the negative power
( you can't have negative power as numerator )

so you put it a part of the denominator
which switches the sign

hope this helps