Answer:
shirts = 15 when pants = 6
15
Step-by-step explanation:
Try two others that are given
shirts / pants = 10 / 4 = 2.5
shirts / pants = 30/12 = 2.5
So shirts/pants = 2.5 = x/6
2.5 = x / 6 Multiply by 6
2.5 * 6 = x
x = 15
Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).
<h3>What are Diagonals of a Parallelogram?</h3>
The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is:
.
A diagonal is XZ.
X(2, 5) = (x1, y1)
Z(0, 0) = (x2, y2)
Plug in the values

= (1, 2.5).
Learn more about the diagonals of a parallelogram on:
brainly.com/question/12167853
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Let's find a.
We are given a right angle which is 90° and an angle marked by "a" next to it. We know that when they are added together, they make a supplementary angle so we can make a equationa and solve.
90 + a = 180
a = 90°
Let's find b.
By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.
Let's find c.
Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.
163 + b = 180
c = 27°
Let's find d.
Using the angle that measures 70°, we can solve it like we did with a and c.
70 + d = 180
d = 110°
Let's find e.
Now that we know what d equals, we know that d and e make a supplmentary angle. So, make an equation and solve.
110 + e = 180
e = 70°
Best of Luck!
4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle.
does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.