Given, mZQVR = 49°
Prove: x= 15
Statements
1. MLOVR = 49
Reasons
1. given
2. MLUVT = 3x + 4
2. given
S
R
3. definition of vertical
angles
О
3. LOVR and LUVT are
vertical angles
4. ZUVT 2 LOVR
T
4.
V
(3x + 4)
5. MZUVT = MZOVR
5. definition of congruence
6. substitution property
Complete the steps of the proof.
7.3x = 45
7 subtraction property
8.x = 15
8. division property

30 determine the coefficient on x 12 y 24 x12y24 in ( x 3 + 2 x y 2 + y + 3 ) 18 . (x3+2xy2+y+3)18. (be careful, as x x and y y now appear in multiple terms! )

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

10 points? ? +++ me asap gabriella uses the current exchange rate to write the function, h(x), where x is the number of u.s. dollars and h(x) is the number of euros, the european union currency. she checks the rate and finds that h(100) = 7.5. which statement best describes what h(100) = 75 signifies? a) gabriella averages 7.5 u.s. dollars for every 100 euros. b) gabriella averages 100 u.s. dollars for every 25 euros. c) gabriella can exchange 75 u.s. dollars for 100 euros. d) gabriella can exchange 100 u.s. dollars for 75 euros.