All categories

3 years ago

Darnelle drew this figure and the accompanying equations.

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

$w+x+y=180$ ----> equation A

$y+z=180$ ----> equation B

equate equation A and equation B

$w+x+y=y+z$

Subtract y both sides

$w+x=z$

This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

You might be interested in

(-12,-5);slope =1/3 write in slope -intercept form

leonid [27]

Answer:

y = $\frac{1}{3}$ - 1

Step-by-step explanation:

y - y1 = m (x - x1)

y + 5 = $\frac{1}{3}$ (x + 12)

y + 5 = $\frac{1}{3}$ x + $\frac{12}{3}$

y + 5 = $\frac{1}{3}$ x + 4

y = $\frac{1}{3}$ x - 1

Hope this was helpful :)

7 0

3 years ago

Read 2 more answers

Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.

Igoryamba

Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.

5 0

3 years ago

Read 2 more answers

I need an answer to this question

inna [77]

Answer:

Hi its -29/11

Step-by-step explanation:

Divide both sides by 11

3 0

3 years ago

Read 2 more answers