Answer:
The three unknown angles X, Y , and Z are:
X = 40, Y = 20, and Z = 120
Step-by-step explanation:
Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.
Then we can create the following equations:
X = 2 Y
Z = 100 + Y
and
X + Y + Z = 180
So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:
2 Y + Y + (100 + Y) = 180
4 Y + 100 = 180
4 Y = 80
Y = 80/4 = 20
Then X = 40, Y = 20, and Z = 120
Answer:
a. The Mexican Airline offers a better deal for 9 students to travel.
b. 10 students
Step-by-step explanation:
a. The Mexican Air airline offers a round trip airfare of $250 per person.
So, for 9 students the fare will be total $(250 × 9) = $2250
Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.
So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.
Therefore, the Mexican Airline offers a better deal for 9 students to travel. (Answer)
b. Let for x students both the airline offers the same total costs.
Then we can write
250x = 1000 + 150x {From the conditions given}
⇒ 100x = 1000
⇒ x = 10
So, if the number of students is 10, then only both the airlines will take same fare. (Answer)
Start circle: πd = (3.14)(19) = 59.7
Move diagonally to the circle with the radius of 6.2.
Second circle: 2πr = 2(3.14)(6.2) = 39
Move upwards to the circle with the radius of 10.5
third circle: 2πr = 2(3.14)(10.5) = 66
Move right to the circle with the diameter of 16.6
Fourth circle: πd = (3.14)(16.6) = 52.2
Move down to the circle with the diameter of 7.7
fifth circle: πd = (3.14)(7.7) = 24.2
Move down to the circle with the diameter of 50
Sixth circle: πd = (3.14)(50) = 157.1
Move left to the circle with the radius of 11.8
Seventh circle: 2πr = 2(3.14)(11.8) = 74.1
Move down to the circle with the radius of 38
Eight circle: 2πr = 2(3.14)(38) = 238.8
Move right to the circle with the diameter of 1.1
ninth circle: πd = (3.14)(1.1) = 3.5
Move right to the circle with the radius of 14.8
10th circle = 2πr = 2(3.14)(14.8) = 93
Move up to the end.
Hope this helps :)
ANSWER: x will equal 3 I hope this helps
Answer:
The similarity statement: FGHI ~ BCDE
Similarity ratio: 5:1
Step-by-step explanation:
The similarity statement is quite obvious, as there are only two rectangles shown, and the other one is "BCDE".
The similarity ratio is 5:1 because everything in the 1st (FGHI) rectangle is multiplied 5 times the values in the 2nd (BCDE) rectangle.
