<span>x-y=2y -> x=3y and
3x-40+2y=180 --> 9y-40+2y=180 --> 11y=220 --> y=20, x=60 --> <A=<C=140 degrees, <B=<D=40 degrees.</span>
$62 total food amount
6% tax
20% of original cost of food for tip
62x0.06= 3.72
62x0.2= 12.4
62+12.4+3.72= $78.12
the total cost of the group is $78.12
Answer: 5
Step-by-step explanation:
Since
, by the corresponding angles theorem,
. This means
by AA.
As corresponding sides of similar triangles are proportional,

However, as distance must be positive, we consider the positive solution, x=5.
Therefore, the answer is <u>5</u>
Answer:
40 degrees
Step-by-step explanation:
A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.
___
You may be expected to solve this using the Law of Cosines. If we name the sides ...
the law of cosines tells us the relationship is ...
c² = a² + b² -2ab·cos(θ)
Then the angle is ...
θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))
= arccos(8.0625/10.5) ≈ 39.838° ≈ 40°
Let S be the number of Brand S snowboards sold.
Let B be the number of Brand B snowboards sold.
309S + 489B = 4299
S + B = 11
S = 6 snowboards sold
B = 5 snowboards sold