Answer: 
Option D
Step-by-step explanation:
In this question we use properties of parallelogram and angle sum property of a triangle.
In parallelogram ABCD
As, we know that opposite angles of parallelogram are equal
Therefore,
Now, in triangle ADC
We know that sum of all the angles of a triangle is 
Subtracting 97 from both sides we get
Measure of
Answer:
83% would be 0.83 as a decimal
The solution of the equation is x = 71 / 36.
<h3>How to solve an equation with one variable</h3>
Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:
2 · x + 1 / 3 + x - 1 / 4 = 13 / 2 Given
2 · x + x = 13 / 2 - 1 / 3 - 1 / 4 Compatibility with addition / Existence of additive inverse / Modulative property
3 · x = 71 / 12 Definitions of addition and subtraction / Distributive property
x = 71 / 36 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result
The solution of the equation is x = 71 / 36.
To learn more on equations: brainly.com/question/10413253
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Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Lets look at the info we have:-
6 friends
Pay $90 and receive $42 in change.
Question:-
How much does each friend pay?
To answer this first we nee to find out how much they paed in total. lets do that 1st:-
90 - 42 = 48
They paid $48 for the gift.
CHECK OUR WORK:-
48 + 42 = 90
We were RIGHT!!
Now lets divide to find out how much each person paid:-
48 ÷ 6 = 8
Each friend pays $8.
CHECK OUR WORK:-
8 × 6 = 48
We were RIGHT!!
So, each friend pays $8 for the gift.
Hope I helped ya!! xD
