Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
- Thus, 23 + 5x - 18 + 90 = 180.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 95 from both sides.
Step 3: Divide both sides by 5.
Step 4: Check if solution is correct.
Thus, x = 17.
The function g(x) will be given as g(x) = – ∛(x – 1). Then the correct option is D.
The complete question is attached below.
<h3>What is a transformation of geometry?</h3>
A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
The function f(x) is given below.
f(x) = ∛x
Then the function of the g(x) will be
g(x) = – ∛(x – 1)
Then the correct option is D.
More about the transformation of geometry link is given below.
brainly.com/question/22532832
#SPJ1
Answer:
a) Micheal's present age = 8 years old
b) The sum of their ages in 6 years time = 63 years.
Step-by-step explanation:
From the above question, we know that
Rui feng is 3 years old
We are told that
• Michael is 5 years old than Rui feng
Micheal's present age is calculated as:
= 5 + Rui feng's age
= 5 + 3 = 8 years
• Vishal is thrice as old as Micheal
Vishal's present age is calculated as
= 3(Micheal age)
= 3(8)
= 24 years.
The sum of their ages in six years time
= ( 3 + 6) +( 8 + 6) + ( 24 + 6)
= 18 + 15 + 30
= 63 years
Therefore, a) Micheal's present age = 8 years old
b) The sum of their ages in 6 years time = 63 years.
Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.
-----------------------------------
Add whole numbers.
2x + 1 + 37 + 118 = 180
Add whole number (if there is any).
2x + 38 +118 = 180
Subtract 156 from both sides to have one side have a variable.
2x + 156 = 180
-156 -156
Divide both sides by 2 because you don't need the whole number with the variable.
2x = 24
--- ----
2 2
You get the answer as 12.
x = 12
Check:
2(12) + 1 + 37 + 118 = 180
24 + 1 + 37 + 118 = 180
25 + 37 + 118 = 180
62 + 118 = 180
180 = 180
(mn)3 = 3(mn) = 3 * m * n
so your answer is 3mn
