Answer:
90 degree
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
Answer:
58/33 or 1.75
Step-by-step explanation:
Answer:
Quadrant II
Step-by-step explanation:
Below will be a picture provided to show you which quadrants are in a coordinate grid.
To graph (-4, 1) we will start at the origin, go 4 units to the left and 1 unit up.
As you can see in the image, it will be plotted in quadrant 2.
Best of Luck!
Answer:
quadrant II or 2
Step-by-step explanation:
I'm not sure if your teacher wants in Roman Numerals or not.
in quadrant II/2 x is negative (on the left side of the y-axis) and y is positive (above the x-axis)
-5x + 4y = -13
A. (0, -1)
B. (8,0)
C. (1, -7/8)
D. (2, -3/4)
Answer:
D. (2, -3/4)
Step-by-step explanation:
Using the substitution method:
-5x+4(1/8x-1)=-13
-5x+0.5x-4=-13
-4.5x/4.5=-9/4.5
-x=-2
x=2
You are supposed to replace 2 in the first equation now but as there is no other option with x value of 2 D is the answer.
If continued:
-5(2)+4y=-13
-10+4y=-13
4y=-3
y=-3/4
One way to find the area of this shape is to add up the areas of all of the interior shapes. To find the area of a triangle, we use the formula A=1/2bh. To find the area of a square, we use the formula A = s^2.
We will begin by finding the area of the triangle on the left side of the figure.
A = 1/2bh= 1/2(2)(2)= 1/2(4)= 2 units^2
Then we can do the same for the triangle on the right side of the figure.
A = 1/2bh = (1/2)(4)(2) = (1/2)(8) = 4 units^2
Finally, we can find the area of the inner square.
A = s^2 = 2^2 = 4 units^2
Now, we must add up the areas of these smaller shapes to find the total area.
A = 2 + 4 + 4 = 10 units^2
Therefore, your answer is 10 units^2.
Hope this helps!
The difference between the populations after 3 minutes is 5.
According to the question, the population of bacteria is modeled by the function; . We have to recall that x refers to the time taken to have an M number of bacteria.
Initially, x = 0 so;
= 51
After 3 minutes, we have;
= 56
Difference between the populations after 3 minutes = 56 - 51 = 5
Hence, the difference between the populations after 3 minutes is 5.
Learn more about population of bacteria: brainly.com/question/4332205
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