Answer:
12:6 or $12 for every $6 he saves
Step-by-step explanation:
If he spends $6.00 for every $3.00, he would save $6 if he spends $12. In this case you could multiple or divide 6 by any number, and do the same to 3 to get an equivalent ratio. Ex. Multiple 6 times 2 to get $12 and 3 times 2 to get $6.
We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE
⇒ CE = 2 * DE
⇒ 10x + 18 = 2 * (7x - 1)
⇒ 10x + 18 = 14x - 2
⇒ -4x = -20
⇒ x = 5
Now we also know that BC = 9x - 3 and AC = CE = 10x + 18
⇒ AB = AC - BC
⇒ AB = 10x + 18 - (9x - 3)
⇒ AB = x + 21
Substituting the value of x,
⇒ AB = 5 + 21
⇒ AB = 26
Hence, the value of AB is 26 units.
Answer:
2:3
Step-by-step explanation:
2 would represent the Fraction of girls 3 would represent the fraction of boys.
Answer:
Present value of contributions is $24,106.15
Step-by-step explanation:
Weekly rate=9%/52weeks= 0.173%
Weekly contributions $50
Number of weeks=20years×52weeks=1040
Present value of contribution=$50(1-[(1+9%/52)^-1040 /(9%/52)
Present value of contribution= $24,106.15
Step-by-step explanation:
In order to proof the HA theorem, we consider two triangles and which are right angle triangles. The right angle lies at points and respectively.
We also consider that the hypotenuse are congruent meaning and .
Now we have taken that angle and .
Since and are 90 degrees, so angle B would be congruent to angle E i.e
Hence by Angle, side and angle congruence in both triangles we can write as, .
And this is what the HA thoerem states also
