Answer:
Q : 3
10x - 11 = 120 - 11 = 109°
3x - 2 = 36 - 2 = 34°
3x + 1 = 36 + 1 = 37°
Q ; 2
3x - 5 = 27 - 5= 22°
7x + 5 = 63 + 5 = 68°
And 90°
Q1 :
∠1 = 92°
∠2 = 42°
∠3 = 113°
Step-by-step explanation:
Solution for Q : 3
As the angle of all three is given as ,
10x - 11
3x - 2
3x + 1
We know sum of all the three angles of triangle = 180 °
So, (10x - 11) + (3x - 2) + (3x + 1) = 180°
Or, 16x - 12 = 180°
Or 16x = 192°, So , x = 12
So, all three angles are 10x - 11 = 120 - 11 = 109°
3x - 2 = 36 - 2 = 34°
3x + 1 = 36 + 1 = 37°
Solution for Q - 2
Given angles are
3x - 5
7x + 5
90°
We know sum of all the three angles of triangle = 180 °
so ,(3x - 5) + (7x + 5) + 90 = 180°
or 10x = 180 - 90 = 90°
SO, x = 9°
SO, all the three angles are 3x - 5 = 27 - 5= 22°
7x + 5 = 63 + 5 = 68°
And 90°
Solution for Q : 1
From,
the shown fig it is clear that
The ∠2 = 42° (<u> opposite vertical angles</u> )
so, in left triangle
50° + ∠2 + ∠1 = 180°
Or, 50° + 42° + ∠1 = 180° ( sum of all angles of triangles = 180°)
Or, ∠1 = 92°
Again
From right figure triangle
∠2 + 25° + ∠3 = 180°
Or, 42° + 25° + ∠3 = 180
Or, ∠3 = 113°
recall that cosine is positive on the I Quadrant, so though we get a ± valid roots, only the positive one applies.
now, for tangent and secant, let's rationalize the denominator.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
Answer:
The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 45 minutes of calls is $22.80 , and the remaining
credit after 64 minutes of calls is $19.76.
Step-by-step explanation:
What is the remaining credit after 73 minutes of calls?
;
Not sure what figure you are referring to, write an equation from the given values:
Assign the values as follows
x1 = 45; y1 = 22.80
x2 = 64; y2 = 19.76
:
Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29
m = -.16
:
