Answer:

Step-by-step explanation:
we know that
In a rectangle, the two diagonals are congruent and each diagonal bisects the other
so
----> equation A
-----> equation B
step 1
Find the value of x
solve equation A

substitute the given values

solve for x

step 2
Find the value of KE

substitute the value of x

Remember that
-----> by each diagonal bisects the other
therefore

Answer:
40.92
Step-by-step explanation:
hope this helps
Answer:
x= 36
(it is positive since 78 is larger than 42, everything else is correct)
Step-by-step explanation:
Answer:
<h2>0.60</h2>
Step-by-step explanation:
Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;
Probability = Expected outcome of event/total outcome of event
If a bag contains 20 total marbles, then the total outcome of event is 20.
If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.
Probability of drawing a blue marble P(draw a blue marble)= 12/20
= 0.60 (to 2dp)
Answer: you bought 9 burgers and 16 tacos
Step-by-step explanation:
Let x represent the number of burgers that you bought.
Let y represent the number of tacos that you bought.
You buy a total of 25 burgers and tacos. It means that
x + y = 25
The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that
3.5x + 2.25y = 67.5- - - - - - - - - - - - 1
Substituting x = 25 - y into 1, it becomes
3.5(25 - y) + 2.25y = 67.5
87.5 - 3.5y + 2.25y = 67.5
- 3.5y + 2.25y = 67.5 - 87.5
- 1.25y = - 20
y = - 20/ - 1.25
y = 16
x = 25 - y = 25 - 16
x = 9