Answer: Expression for the amount raised by Rachel = x
Expression for the amount raised by Francesca = x+10.50
Step-by-step explanation:
Let x = the amount raised by Kayla.
Since Rachel and Kayla each raised the same amount.
then, expression for the amount raised by Rachel = x
Francesca raised $10.50 more than each of them.
Then, expression for the amount raised by Francesca = x+10.50
Answer: triangle sum , x= 9
Step-by-step explanation:
The triangle angle sum theorem states that the 3 interior angles of a triangle sum to 180 degrees. Add all of the angle measures together and set equal to 180. (3x-4)+(5x-7)+(13x+2) = 180. Combine like terms. 21x -9 = 180. Add 9 to both sides. 21x= 189. Divide both sides by 21. X = 9
Answer:
-5
Step-by-step explanation:
9514 1404 393
Answer:
angles (W, X, Y) = (77°, 62°, 41°)
Step-by-step explanation:
<u>Given</u>:
ΔWZY
∠W = 2(∠Y) -5°
∠X = ∠Y +21°
<u>Find</u>:
∠X, ∠Y, ∠W
<u>Solution</u>:
Using angle measures in degrees, we have ...
∠X + ∠Y + ∠Z = 180
(∠Y +21) +∠Y + (2(∠Y) -5) = 180
4(∠Y) +16 = 180 . . . . . simplify
∠Y +4 = 45 . . . . . . . . . divide by 4
∠Y = 41 . . . . . . . . . . . . subtract 4
∠W = 2(41) -5 = 77
∠X = 41 +21 = 62
The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.
The range is how long the graph extends vertically. So, the lowest value is -9 (since the graph extends down until -9) and the highest value is 9 (since the graph extends up until 9). The lowest value goes in the first box and the highest value goes in the second box. The range is:
-9 ≤ <em>g</em>(<em>t </em>) ≤9