Answer:
Juan wins the race
Step-by-step explanation:
<u>The graph is shown in attached image.</u>
<u />
The black line is Juan's graph.
The green line is Antonio's graph.
The graph shows the distance (y-axis) with time (x-axis).
The end of the curve(s) means the end of the race. Both curve's ending point in y-axis is 4 miles so the end of the race is 4 miles.
But in x-axis, we see the time:
Juan finishes at 13 minutes
Antonio finishes at 15 minutes
<u>Definitely Juan wins the race</u>
Answer: x=-35/10
y=-4
Step-by-step explanation:
y = 3/2x +5/4
-2x+8y=-25
--------------------
replace y in second equation with: y = 3/2x +5/4
-2x+8(3/2x+5/4)= -25
-2x+12x+10= -25
10x=-35
x=-35/10
x=-3.5
7+8y= -25
8y=-32
y=-4
To make it like a simple, I'll make an equation. Let x be the number of hours because x represents unknown and we don't know the hours. Then your per hour is $7.25 right? so it would be x7.25. You want to know how many hours you will work so you can earn $125. The equation is simple as this x7.25 = 125.
All you have to do is divide the equation by 7.25 because that's your per hour.
It will look like this, <u>x7.25</u> = <u>125</u> then the answer would be 17.24 hours.
7.25 7.25
Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
