Line up corresponding parts of the similar triangle to make ratios.
You need 3 parts of the 6, including one complete fraction.
Next cross-multiply to solve for the missing sides.
# 15
a/x = b/y = c/z
6/10 = 8/y
cross-multiply
6y = 8*10
6y = 80
divide both sides by 6
y = 13 1/3 or 40/3
CHECK
6/10 ??=?? 8/ (13 1/3)
.6 = .6 CHECKS
# 16
4/7 = c/5
cross-multiply
7c = 4 * 5
7c = 20
divide both sides by 7
c = 20/7
CHECK
4/7 ??=?? (20/7)/5
.5714 = .5714 CHECKS
Answer:
D
Step-by-step explanation:
Answer:
11 pints of milk the Garcia family have left after lunch.
Step-by-step explanation:
The Garcia family started the day with 2 gallons of milk.
They drank 1 quart of milk for breakfast and 3 pints for lunch.
Since, 1 gallon = 8 pint
2 gallon = 16 pint
and 1 quart = 2 pint
Left amount = 16 pint - ( 2pint + 3pint)
= 16-5
= 11 pints
Hence, 11 pints of milk the Garcia family have left after lunch.
Answer:
Step-by-step explanation:
A. H0: accident are evenly distributed
H1: accident are not evenly distributed
B. The critical value is chi²(0.01,7) = 18.4753
C. The decision rule would be to reject h0 and accept h1 if the test statistic is higher than the critical value
D. Test statistic = summation (Oi-Ei)²/E
This gives 24.6 from the table.
E. Based on these calculations, test statistic is > than critical value
24.6> 18.4753
F. The inference is that accidents are not evenly distributed at 0.01 level of significance.
Answer:
y=3x.........1
y=x^2-10.......2
substituting value of eq 1 to 2
3x=x^2-10
x^2-10-3x=0
x^2-3x-10=0
x^2-5x+2x-10=0
X(x-5)+2(x-5)=0
(x-5)(X+2)=0
then
X=5 or X=-2
again
y=??
when X=5
y=3×5=15
when X=-2
y=-6
