Answer:
angle M and N are right angles
we can draw a line joining M and N
so we’d have a triangle MNC AND KMN
both MNC AND KMN BECOME ISOSCELES TRIANGLES
so since we have 55 degrees for angle MKN. We have to find the other 2
180-55=125
now divide by 2 to get 62.5 for each of the remaining sides of triangle KMN
now to find the sides of triangle MNC
90-62.5= 27.5
27.5*2= 55
180-55=125=angle C
(sorry, it’s complex)
Answer:
slope or m = -1
Step-by-step explanation:
The slope formula is:
y2-y1 -3 - 1 -4 -4
-------- = -------------- = --------- = ----- = -1
x2-x1 1 - (-3) 1+3 4
So, the slope is -1 XD YAY!!
Two parallel lines never intersect, therefore they will never have a solution.
One line could be x=6 and the other could be x=2
Hope this helps :)
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
Answer:
The probability is 7/36
Step-by-step explanation:
In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.
Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36
Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.
Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.
The probability is thus the number of these additions divided by the total number of outputs= 7/36
