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3 years ago

ABCD is a parallelogram,

Mathematics

1 answer:

34kurt3 years ago

6 0

Step-by-step explanation:

let point that BD intersects extended A be Z

angle BDA = 180 - 56 - 78 = 46 deg (supplementary angle in //ogram)

angle AZD = 180 - 98 = 82 deg (angles on a straight line/supplementary angles on straight line)

therefore,

angle x = 180 - 82 - 46 = 52 deg (sum angles of triangle)

You might be interested in

the value of x - y is negative an X and Y are both positive what can conclude about the values of X and Y?

tiny-mole [99]

You can conclude that X is smaller than Y. For example:
(2,5)
2 + 5 = 7
2 - 5 = -3

Hope this helped!

3 0

3 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

4 years ago

A runner jogged 4 miles in ten laps around a circular

dybincka [34]

Answer:

.1273 mi = 627.2 feet

c = 2 $\pi$ r

.4 = 2 $\pi$ r

r = $\frac{.4}{2\pi }$

r = $\frac{.2}{\pi }$

d = $\frac{.4}{\pi }$

d = .1273 mi = 627.2 feet

Step-by-step explanation:

4 0

3 years ago

There are 75 students performing in the holiday concert. Of the students, 30 are boys. What percent of the students are boys?

viva [34]

Answer:

Total students = 75

Boys = 30

<h3>Percentage</h3>

$\sf \frac{30}{75} \times 100\% \\ \sf= \frac{10}{25} \times 100\% \\ \sf = \boxed{ \bold{ \red{40\%}}}$

Hope it helps!

8 0

3 years ago

What is the additive inverse of -2 + 8i?

tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

An example:

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

To solve

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i) With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i) → and it does equal 0

ANSWER: 2 - 8i

Hope you understand and that this helps with your question! :)

8 0

3 years ago