Cal Angies Given: m ZQVR = 49°
Prove: x = 15
Statements
1. mZQVR = 49
Reasons
1. given
2. m ZUVT = 3x + 4
S
2. given
mo
R
ol
3. definition of vertical
angles
T
3. ZQVR and UVT are
vertical angles.
4. ZUVT = ZQVR
5. m ZUVT =mZQVR
V
4.
(3.x + 4)
5. definition of congruence
6.
U
Complete the steps of the proof.
6. substitution property
7.3x = 45
7. subtraction property
8. x = 15
8. division property

What fraction is equivalent to 0.46464646··· a. 46⁄99 b. 46⁄999 c. 46⁄100 d. 23⁄50

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?

Dimitri used a coupon that saved him 80 percent, or $6.87. he paid $34.35 for the items.dimitri used a coupon that saved him 80 percent, or $27.48. he paid $34.35 for the items.dimitri used a coupon that saved him 80 percent, or $6.87. the price of the items before the discount was $34.35.dimitri used a coupon that saved him 80 percent, or $27.48. the price of the items before the discount was $34.35.