By most definitions, if the bases are congruent, it is not a trapezoid, it is a parallelogram.
Answer:
Explained below.
Step-by-step explanation:
Consider the series is a set of first 6 natural numbers.
Sum of first <em>n</em> terms is:
Consider the series is an arithmetic sequence.
Sum of first <em>n</em> terms is:
Here<em>,</em>
<em>a</em> = first term
<em>d</em> = common difference
Consider the series is an geometric sequence.
Sum of first <em>n</em> terms is:
Here<em>,</em>
<em>a₁</em> = first term
<em>r</em> = common ratio
Answer:
a. 3/5 liters per hour
b .06 hours
Step-by-step explanation:
Change 40 minutes to a fraction of an hour
40 minutes/ 60 minutes = 2/3 hour
It takes 1 2/3 hours to fill the container
Changing to an improper fraction
(3*1+2)/3 = 5/3 hours
We want liters per hour
1 liter per 5/3 hours
1 ÷ 5/3
Copy dot flip
1 * 3/5 = 3/5 liters per hour
Change 100 ml to liters
We know 1000 ml = 1 lt
100 ml * 1 lt/1000 ml = .1 lt
So 100 ml = .1 lts
.1 lt * 3/5 lt per hour
Changing the fraction to a decimal
.1 lt * .6 lt per hour
.06 hours
Answer:
x = -11
Step-by-step explanation:
Hello There!
create an equation
x + 51 + 60 + 80 = 180
combine like terms
51 + 60 + 80 = 191
x + 191 = 180
subtract 191 from each side
180 - 191 = -11
we're left with
x = -11
Answer:
Step-by-step explanation:
9
1. ∠ACB ≅∠ECD ; vertical angles are congruent (A)
2. C is midpoint of AE ; given
3. AC ≅CE; midpoint divides the line segment in 2 congruent segments (S)
4.AB║DE; given
5. ∠A≅∠E; alternate interior angles are congruent (A)
6. ΔABC≅ΔEDC; Angle-Side-Angle congruency theorem
10
1. YX≅ZX; given (S)
2. WX bisects ∠YXZ; given
3. ∠YXW≅∠ZXW; definition of angle bisectors (A)
4. WX ≅WX; reflexive propriety(S)
5. ΔWYX≅ΔWZX; Side-Angle-Side theorem