Y = 12x is a direct variation which is a proportion.
As x increases y also increases.
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78
Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.
If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.
Answer:
∠WVR = 156
Step-by-step explanation:
Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156
Answer:
ΔGJH ≅ ΔEKF
HL: GH and EF
SAS: FK and JH (or GH and EF)
ASA: ∠JGH and ∠FEK (or ∠EFK and ∠JHG)
ΔGFJ ≅ ΔEKH
SSS: KH and FJ
SAS: ∠KEH and ∠FGJ
Step-by-step explanation:
List whatever angles/sides need to be congruent for the two triangles to be congruent.
Prove ΔGJH ≅ ΔEKF using....
- HL (Hypotenuse + Leg)
We already have two legs that are congruent (EK and GJ), so we just need the hypotenuses (GH and EF) to be equal.
- SAS (Side + Angle + Side)
1 pair of sides (EK and JG) are equal, and m∠EKF = m∠GJH. So we need one more side. You can either use FK and JH or GH and EF.
- ASA (Angle + Side + Angle)
1 pair of angles (∠EKF and ∠GJH) are already given as equal, and 1 pair of sides (EK and GJ) are equal. We just need one more pair of angles. So either ∠JGH and ∠FEK or ∠EFK and ∠JHG.
Prove ΔGFJ ≅ ΔEKH using...
- SSS (Side + Side + Side)
Two pairs of sides (EK + GJ and EH + FG) are equal, so KH and FJ need to be equal.
- SAS (Side + Angle + Side)
FG + EH and KE + GJ are equal. We need to use the angle in between them to use SAS, so ∠KEH and ∠FGJ need to be equal.
