Answer:
Step-by-step explanation:
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9,
timama [110]
Answer:
Step-by-step explanation:
Given
<LON = 77°
<LOM = (9x+44)°
<MON = (6x+3)°
The addition postulate is true for the given angles since tey have a common point O:
<LON = <LOM+<MON
Since we are not told what to find we can as well look for the value of x, <LOM and <MON
Substitute the given parameters and get x
77 = 9x+44+6x+3
77 = 15x+47
77-47 = 15x
30 = 15x
x = 30/15
x = 2
Get <LOM:
<LOM = 9x+44
<LOM = 9(2)+44
<LOM = 18+44
<LOM = 62°
Get <MON:
<MON = 6x+3
<MON = 6(2)+3
<MON = 12+3
<MON = 15°
Selling price of the chair = 1440 rupees
Percentage of loss made by the shopkeeper = 10%
Let us assume the price at which the shopkeeper bought the chair = x
Then
90% * x = 1440 rupees
(90/100) * x = 1440 rupees
9x/10 = 1440 rupees
9x = 1440 * 10 rupees
9x = 14400 rupees
x = 14400/9 rupees
= 1600 rupees
So the price at which the shopkeeper bought the chair was 1600 rupees. I hope the procedure is clear enough for you to inderstand.
The true statement is " The graph of function f is compressed horizontally by a scale factor of 4 to create the graph of function g " ⇒ answer C
Step-by-step explanation:
Let us revise the vertical and horizontal stretching
- A vertical stretching is the stretching of the graph away from the x-axis
- A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
- f k > 1, the graph of y = k • f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = k •f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
-
A horizontal stretching is the stretching of the graph away from the y-axis
- A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
- If k > 1, the graph of y = f(k • x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = f(k • x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k.
∵ g(x) = f(4x)
∴ x is changed to 4x
∴ f(x) is stretched or compressed horizontally
∵ 4 > 1
∴ f(x) is compressed horizontally by scale factor of 4
The true statement is " The graph of function f is compressed horizontally by a scale factor of 4 to create the graph of function g "
Learn more:
You can learn more about vertical stretching in brainly.com/question/3568205
#LearnwithBrainly
Answer:
15m+20
Step-by-step explanation:
5(3m+4)
5*3m, 5*4
15m+20
