Answer:
∠JKL = 38°
Step-by-step explanation:
PQRS, JQK and LRK are straight lines
Let's take the straight lines in the diagrams one after the other to find what they consist.
The related diagram can be found at brainly (question ID: 18713345)
Find attached the diagram used for solving the question.
For straight line PQRS,
2x°+y°+x°+2y° = 180°
(Sum of angles on a Straight line = 180°)
Collect like terms
3x° + 3y° = 180°
Also straight line PQRS = straight line PQR + straight line SRQ
For straight line PQR,
2y + x + ∠RQM = 180° ....equation 1
For straight line SRQ,
2x + y + ∠MRQ = 180° ....equation 2
Straight line PQRS = addition of equation 1 and 2
By collecting like times
3x +3y + ∠RQM + ∠MRQ = 360°....equation 3
Given ∠QMR = 33°
∠RQM + ∠MRQ + ∠QMR = 180° (sum of angles in a triangle)
∠RQM + ∠MRQ + 33° = 180°
∠RQM + ∠MRQ = 180-33
∠RQM + ∠MRQ = 147° ...equation 4
Insert equation 4 in 3
3x° +3y° + 147° = 360°
3x +3y = 360 - 147
3x +3y = 213
3(x+y) = 3(71)
x+y = 71°
∠JQP = ∠RQK = 2y° (vertical angles are equal)
∠LRS = ∠QRK = 2x° (vertical angles are equal)
∠QRK + ∠RQK + ∠QKR = 180° (sum of angles in a triangle)
2x+2y + ∠QKR = 180
2(x+y) + ∠QKR = 180
2(71) + ∠QKR = 180
142 + ∠QKR = 180
∠QKR = 180 - 142
∠QKR = 38°
∠JKL = ∠QKR = 38°
19 because 1 ten = 10 ones and 9 one plus 10 ones equals 19 altogether
<h2>
Answer:</h2>
The solution of the given equation is:
y=6
<h2>
Step-by-step explanation:</h2>
The expression is given by:

Now on solving for the given equation

since,

Hence, we get:




but y≠ 4
since, the denominator of the term in the left side of the given equality and the second term in the right side of the given equality will be zero and hence, the expression will be not defined.
Hence, the value of y is: 6
Answer:
Answer:
f(g(x)) = g(f(x)) = x and f and g are the inverses of each other.
Step-by-step explanation:
Here, the given functions are:
To Show: f (g(x)) = g (f (x))
(1) f (g(x))
Here, by the composite function:
⇒ f (g(x)) = x
(2) g (f(x))
Here, by the composite function:
⇒ g (f(x)) = x
Hence, f(g(x)) = g(f(x)) = x
⇒ f and g are the inverses of each other.
Answer:
1. x < -2
2. Yes
Step-by-step explanation:
-4x - 7 > 1
= -4x > 8
= x < -2