Answer:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Step-by-step explanation:
First, we have to determine the sides of the triangle.
4x-3=2x+1
4x-2x=1+3
2x=4
x=2
SO, RS=4x-3=4(2)-3=8-3=5
RT=2(x)+1=2(2)+1=5
QR=4²+b²=5². 16+b²=25. b²=25-16. b²=9. b=3
CLAIMS:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Answer:
x<3 number line: < ---------------3 - - - - - > (open circle/parentheses on 3)
Step-by-step explanation:
first, solve for x:
2x+1<7 <-- treat the less than sign as an equal sign
2x+1=7 <-- get x by itself on the left hand side by subtracting 1 from both sides
-1 -1
2x=6 <--- divide both sides by 2 to get x by itself
2x/2 = x 6/2 = 3
x=3 < -- substitute the less than symbol back into the equation to get x<3
to plot on a number line:
x is less than 3, so on the number line, any real numbers to the left of three will be true for this equation
< ---------------3 - - - - - >
since 3 is not included in the answer, there would be an open circle or a parentheses where 3 is.
we know 3 is not included in the answer because of the inequality sign. if the inequality symbol is ≥ or ≤, then the answer on the number line would be a closed circle or a bracket.
in interval notation, the answer would be (-∞,3)
Start by putting a dot at (0,3). Then you just need to go four down and three right from that dot and put another dot. Just repeat that a couple times to make sure it is straight, and connect the dots with a line. You can also go four up and three left from the (0,3) for the other side of the axis.
Answer:
four days: 320 pence
seven days: 560 pence
Step-by-step explanation:
Multiply the cost by the number of days.
80 pence× 4 days= 320 pence
80×4=320
80×7=560