Answer:
x = 100°
Step-by-step explanation:
Actually the drawing is very inaccurate, so it is a regular pentagon, otherwise x would be 60° and none of the answers would fit.
The formula for finding the sum of all angles in a polygon is:
(n-2) * 180°
n is the number of sides
Here n = 5, so the sum of all angles is (5-2) * 180° = 540°
x + 2x + 86 + 92 + 62 = 540
3x = 300
x = 100
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Answer:
the area is 26 the perimetier is 52
Step-by-step explanation:
Answer:
£510
Step-by-step explanation:
Simple interest = (principal × rate × time) / 100
Principal = £1700
Rate = 10%
Time = 3 years
Simple interest = (principal × rate × time) / 100
= (1700 × 10 × 3) / 100
= 51,000/100
= 510
Simple interest = £510
7/20=2.857142857142857 divide 20 by 7