Answer:
70 degrees
Step-by-step explanation:
Find the diagram attached
The sum of the angles is supplementary that is
45 + 2x- 5 = 180
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Hence the value of x is 70 degrees
Answer:
30
Step-by-step explanation:
30/-5=-6
due to integer rules the number would be negative
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
Answer:
153 ? im not sure srry if wrong
Step-by-step explanation:
20 + 7 = 27
180- 27 = 153
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
