Opposite sides ofa parallelogram are equal.
Therefore, AB= CD and AD= BC.
Diagonals of a parallelogram bisect each other.
Measure of opposite angles of a parallelgram also equal.
So, <ADC= <ABC and <BAD=<BDC
Since diagonal of a parallelogram bisect each other so AC and BD are intersecting at the point E.
Hence, AE= CE and BE= DE.
Hence, the correct choice is 4)AE=CE.
Answer:
20 miles
Step-by-step explanation:
Let
x = total number of miles she wish to run the end of this month
If Carrie is 55% of the way to achieving her goal and she has already run 11 miles
55% of her total miles = 11 miles
55% of x = 11 miles
55/100 * x = 11 miles
0.55x = 11
Divide both sides by 0.55
x = 11 / 0.55
= 20
x = 20 miles
x = total number of miles she wish to run the end of this month = 20 miles
She is trying to run 20 miles by the end of this month
Answer:
y= -(1/3)x -r
Step-by-step explanation:
a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.
In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.
The problem states the line has the same y-intercept so it has to still be -r.
So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r
Answer:
5 Bags
Step-by-step explanation:
There are 75 carrots and 40 celery sticks.
If we want each bag to have the same combination, the greatest number of bags we can make is determined by the Greatest common divisor of the two numbers.
To find the Greatest common divisor of 70 and 40
<u>Step 1:</u> Express each number as a product of its prime factors
- 40=2 X 2 X 2 X 5
- 75=3 X 5 X 5
<u>Step 2:</u> Pick each pair of common factors.
- 40=2 X 2 X 2 X 5
- 75=3 X 5 X 5
The only factor common to both pairs is 5.
Therefore, the Greatest common divisor of 70 and 40 is 5.
The greatest number of bags that can be made is 5.
