All categories

1 year ago

The figure below is not drawn to scale. ABCD is a parallelogram, Find

Mathematics

1 answer:

Butoxors [25]1 year ago

4 0

$\angle BAD=100^{\circ}$ (opposite angles in a parallelogram)

$\angle EAD=80^{\circ}$ (subtraction)

$\angle ADE=65^{\circ}$ (angles in a triangle add to 180 degrees)

$\angle CDA=80^{\circ}$ (adjacent angles in a parallelogram are supplementary)

$\boxed{\angle CDE=15^{\circ}}$ (subtraction)

$\angle CED=65^{\circ}$ (angles in a triangle add to 180 degrees)

$\boxed{\angle AEB=80^{\circ}}$ (angles on a straight line add to 180 degrees)

You might be interested in

Write 9/20 as a decimal number

sattari [20]

Answer: 0.45

........................

5 0

2 years ago

Read 2 more answers

Find the volume of a cylinder with base radius of 3 and height of 2

Lunna [17]

Answer:

Volume equals 56.6 when rounded to the nearest tenth

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

To find the volume of a cylinder you need the formula $V = \pi r^{2}h$

Now that you have the formula you plug in the radius and the height

$V = \pi (3^{2}) (2)$

Then solve

$V = \pi (9)(2)$

$V = 18\pi$

$V = 56.548667764616278$

5 0

3 years ago

Factor the polynomial completely

aliina [53]

We have $2x^2-8$ .

First let us factor the 2 to obtain,

$2(x^2-4)$

We can now see clearly that the expression inside the parentheses is a difference of two squares.

We now write the 4 as 2². So that we obtain the expression,

$2(x^2-2^2)$

Recall that

$a^2-b^2=(a+b)(a-b)$

Hence our expression becomes,

$2(x+2)(x-2)$

Therefore, when factored completely,

$2x^2-8=2(x+2)(x-2)$

5 0

3 years ago

Please help me with these 6 through 10 :)

drek231 [11]

6.) constant = 75

7.) open sentence = 6 + 22 = 28

8.) equation = 17 + b = 47

9.) solution = when x + 37 = 62, x = 25

3 0

3 years ago

Help me, its trigonometry college

prohojiy [21]

4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle. $\frac{\sqrt{3}} {3}$ 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.

7 0

3 years ago