x+∠QSR+∠UST=180x+∠QSR+∠UST=180 (straight line =180) and ∠R+∠T=90∠R+∠T=90 (as PRT is a right angle)
(1) The length of line segment QR is equal to the length of line segment RS --> triangle QRS is isosceles --> ∠RQS=∠QSR=180−∠R2∠RQS=∠QSR=180−∠R2 (as ∠RQS+∠QSR+∠R=180∠RQS+∠QSR+∠R=180 --> 2∗∠QSR+∠R=1802∗∠QSR+∠R=180 --> ∠QSR=180−∠R2∠QSR=180−∠R2). Not sufficient.
(2) The length of line segment ST is equal to the length of line segment TU --> triangle UST is isosceles --> ∠SUT=∠UST=180−∠T2∠SUT=∠UST=180−∠T2. Not sufficient.
(1)+(2) x+∠QSR+∠UST=180x+∠QSR+∠UST=180 --> x+180−∠R2+180−∠T2=180x+180−∠R2+180−∠T2=180 --> x+360−(∠R+∠T)2=180x+360−(∠R+∠T)2=180 --> since ∠R+∠T=90∠R+∠T=90 --> x+360−902=180x+360−902=180 --> x=45x=45. Sufficient.
Answer:
Books'R'Us is proportional. Bargains'R'Us is not proportional.
Step-by-step explanation:
Susan buys books at two stores. At Books'R'Us, she can buy a book for $1.25 each. At Bargains'R'Us, she made a deal to buy a set of 3 books for $4.00 and a set of 5 books for $5.00.
Book'R'Us is proportional because each book costs a consistent value of $1.25. 0 books is $0. 1 book will be $1.25 and 2 books will be $2.50 and 3 books will be $3.75.
Bargains'R'Us is not proportional because each book has a different price depending on the bargain. Though 0 books is $0, a set of 3 costs $4.00 or $1.34 a book. A set of 5 costs $5.00 or $1 per book. The cost is not consistent or constant. It changes from situation to situation. This is not proportional.
EQUATION OF A LINE IS Y-Y¹ =m(X-X¹)
WHERE M IS SLOPE
SO
EQUATION OF LINE IS Y-0={(8-0)/(3-6)}[X-6]
¶¶ Y= (-8/3)(X-6)
HERE YOU GO---- {3Y+8X-48=0}
HOPE THIS IS HELPFUL
Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.
Knowing this, (15,12) means that 15 pounds of beans must cost $12.
Assuming you need to find the solution, it's x=3 and y=6
I used elimination
