Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
Answer:
The answer is

Step-by-step explanation:
Remmeber:

Answer:
<em>Paul spent 6 dollars on the student discount card.</em>
Step-by-step explanation:
If each pass is $1.30, simply divide 21 by 1.30
You should get 27.30
Next, subtract 33.30 by 27.30, getting 6.
Answer:
a. -1
b. 8
c. 3
Step-by-step explanation:
a.
6-7
(factor out the negative sign)
-(7-6)
(calculate)
-1
(your answer)
b.
6-(-2)
(remove the parentheses)
6+2
(calculate)
8
(your answer)
c.
6-3=3
Answer:
-3.25 >-2.5 +r
Option 4 is right.
Step-by-step explanation:
Given picture is a graph of number line representing the area to the left of -0.75 not including -0.75
i.e. the graph shows r<-0.75, where r is a variable
Subtract 2.5 to both the sides
we get
-2.5+r <-0.75-2.5
or -2.5+r <-3.25
Or -3.25 >-2.5 +r
Option 4 is right.
Why other options are wrong:
i) 3.25<r+2.5. 0 satisfies this inequality but not included in the graph. Hence wrong.
ii)3.25>2.5+r
r=0 satisiffes this contradicting the graph again.
Thus second option is right.
iii) -3.25<-2.5+r
Here r =0 satisfies this equation contrary to graph. Hence option iii is wrong.