Answer:
Step-by-step explanation:
As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.
∠C = ∠A = 56°
B = 180 - 2(56) = 68°
Answer:
16 + 1 = 17
Step-by-step explanation:
identity properties are when they are either divided or multiplied by 1 or added or subtracted 0
Answer:
The correct option is c.
Step-by-step explanation:
The given equation is
The given inequality is
A point will contained in solution set if the above inequality satisfied by that point.
Check the point (0,-3),
This statement is false, therefore option a is incorrect.
Check the point (-3,0),
This statement is false, therefore option b is incorrect.
Check the point (3,3),
This statement is true, therefore option c is correct.
Check the point (-3,-3),
This statement is false, therefore option d is incorrect.
Answer:
$30.88
Step-by-step explanation:
The account value is given by ...
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, t is the number of years, n is the number of times interest is compounded per year.
The amount of interest earned is the account value less the initial investment:
I = A - P = P(1 +r/n)^(nt) -P = P((1 +r/n)^(nt) -1)
Filling in the given values, we get ...
I = 500((1 +.03/12)^(12·2) -1) = 500(1.0025^24 -1) ≈ $30.88
The amount of interest earned is $30.88.
Answer:
Slope: 2
a: 5
b: 6
y-coordinate when x = 0: -2
Step-by-step explanation:
To find the slope, you need to divide the change in the y values between two points on a line by their change in x values. The two complete points given are (6, 10) and (2, 2), so doing this for them would be...
(10-2)/(6-2) = 8/4 = 2, so your slope is 2
To find a, you must use this slope by counting from one of the points. For every one you go to the right, you go up two. So, how many times do you need to go up 2 (slope), from 2 (starting point's y coordinate), to get to 8 (target point's y coordinate)? (8-2)/2 = 6/2 = 3, so 3 times. Add that to 2 (starting point's x coordinate) to get 5, so a is 5.
To find b, you can just use (6, 8). You know you're going to the LEFT one, so you must go DOWN 2. Subtract 2 from 8 to get 6.
For the last question, do the same with (2, 2). You're going LEFT 2, so you're going DOWN 4. Subtract 4 from 2 to get -2.
Let me know if you need a more in-depth explanation on any part of this!
