Answer:
The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP
The triangles share one side PS
The figure also states that m∠QPS = m∠RPS
Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.
Answer:
(D) an = 5n - 1
Step-by-step explanation:
The sequence is generated by substituting a value for n.
The first term of the sequence is 4
So when n = 1
The formula is an = 5n - 1
a1 = 5(1) - 1
a1 = 5 - 1
a1 = 4
The second term of the sequence is 9.
So n = 2
a2 = 5(2) - 1
a2 = 10 - 1
a2 = 9
To find the next value you just have to substitute the next value for n.
B. 54 meters
first you want to set up your ratios and cross multiply to figure out the number to square l's ratio. which would be 10.8.
then use formula for perimeter
2(l)+2(w)=9
2(10.8)+2(18)=53.6-rounded =54<span />
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.