Answer:
x = 18
Step-by-step explanation:
I the given triangle, it appears that M and N are the midpoints of the segments BG and BD respectively. If it so, then let us solve it.
By mid segment theorem:
2MN = GD
2(6x - 51) = 114
12x - 102 = 114
12x = 114 + 102
12x = 216
x = 216/12
x = 18
<u>Answer-</u>
<em>The total amount of water wasted this year is 6716 gallons.</em>
<u>Solution-</u>
A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.
This year they wasted 15% more than that amount they wasted previous year.
15% of 5840 is,
![5840\times \frac{15}{100}=876](https://tex.z-dn.net/?f=5840%5Ctimes%20%5Cfrac%7B15%7D%7B100%7D%3D876)
The total amount of water wasted this year =
The amount of water wasted previous year + 15% more of the amount of that
= 5840 + 876
= 6716 gallons
Therefore, the total amount of water wasted this year is 6716 gallons
Answer:
see explanation
Step-by-step explanation:
(a)
= 1 ( any value divided by itself = 1 )
(b)
= a ( any value divide by 1 is the value itself )
(c)
×
= ![\frac{ac}{bd}](https://tex.z-dn.net/?f=%5Cfrac%7Bac%7D%7Bbd%7D)
The product of 2 fractions is the product of the numerators divided by the product of the denominators
(d)
÷
= ![\frac{ad}{bc}](https://tex.z-dn.net/?f=%5Cfrac%7Bad%7D%7Bbc%7D)
To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
÷
=
×
= ![\frac{ad}{bc}](https://tex.z-dn.net/?f=%5Cfrac%7Bad%7D%7Bbc%7D)
(e)
+
= ![\frac{a+b}{d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2Bb%7D%7Bd%7D)
Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also
(f)
-
= ![\frac{a-b}{d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba-b%7D%7Bd%7D)
See explanation for part (e)
9514 1404 393
Answer:
Step-by-step explanation:
The outside factor multiplies each term in parentheses.
a) 2(b+c) = 2b +2c
b) 5(7h +3m) = 5×7h +5×3m = 35h +15m
c) e(f +g) = ef +eg