Answer:
y= -1/6x+2
Step-by-step explanation:
3=-1/6(-6)+b
3=1+b
3-1=1-1b
2=b
Answer:
For all the proofs you start with the given, and work you’re way down the problem.
1)
Statement Reasoning
LM=NO Given
∠LMO≅∠NOM. Given
OM=OM Reflexive Property of Equality
ΔLMO=ΔNOM SAS Congruence Postulate
2)
Statement Reasoning
∠A=∠D Given
CB bisects ∠ACD Given
CB=CB Reflexive Property of Equality
∠ACB=∠BCD Definition of Angle Bisector
∠ABC=∠CBD Definition of Angle Bisector
ΔABC=ΔDBC ASA Congruence Postulate
CA=CD Definition of Congruence
3)
Statement Reasoning
∠T=∠U Given
S is midpoint of TU Given
∠TSN=∠USH Vertical angles are congruent
TS=SU Definition of Midpoint
ΔTSN=ΔUSH ASA Congruence Postulate
SN=SH Definition of Congruent
She made a mistake when she subtracted x1 from x2.
Step-by-step explanation:
Step 1 :
a)
The formula used by Lorena to calculate the slope between 2 points is correct
So the statement given in option 1 is not the reason for her mistake
Step 2:
b)
She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope
Hence the statement in second option is not true
Step 3:
c)
While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.
Hence she has made a mistake in subtracting x1 from x2 and this statement is true
Step 4:
d)
She has not made any mistake in subtracting y1 from y2. Hence this statement is not true
It is 80 kilometer per hour
Answer: -10
Step-by-step explanation:
1. Convert 6 1/4 to an improper fraction
25/4
2. Find the quotient using the keep, change, flip method
- Keep the first fraction (25/4)
- Change the division sign to a multiplication sign
- Flip the second fraction (i.e. find the reciprocal)
-5/8 -> -8/5
3. Multiply and solve by multiplying the numerators and denominators together respectively
25/4 * -8/5
25*-8 = -200
4*5 = 20
-200/20 = -10
