Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given:
, 
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e
and
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1.
,
Given
2.
Vertical angles are congruent
3.
SAS
Answer:
45 miles
Step-by-step explanation:
Since she drives a total of 3 hours traveling 15 miles each hour you just multiply 15 times 3
Answer: in five years time, the sales would be $100367
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total sales at the end of t years
r represents the growth rate.
n represents the periodic interval at which it was compounded.
P represents the current sales.
t represents the time in years
From the information given,
P = 75000
r = 6% = 6/100 = 0.06
n = 11 because it was compounded once in a year.
t = 5 years
Therefore,
A = 75000(1+0.06/1)^1 × 5
A = 75000(1+0.06)^5
A = 75000(1.06)^5
A = $100367
24x + 8 would be the anwser