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3 years ago

8

if angle A and angle B are supplementary, and angle A and angle C are supplementary. What conclusion is valid

1 answer:

Iteru [2.4K]3 years ago

6 0

Answer:

Angle B and C are congruent.

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A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in

SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

$Rate R +Rate S= Rate total$

Rate R = $\frac{x}{36}$ 'x' is the job

Rate S = $\frac{x}{18}$ 'x' is the job

So, using the equation of rates

$Rate total =\frac{x}{36} + \frac{x}{18}$

Rate total is going to be a job in 2 hours so = $\frac{1}{2}$

$\frac{1}{2} = \frac{x}{36}+\frac{x}{18}$ <em>adding up</em>

$\frac{1}{2}= x*\frac{3}{36}$ <em>factoring the x</em>

$\frac{1}{2}= x*\frac{1}{12}$ <em>simplifying</em>

x= $\frac{12}{2} \\$

x= 6

3 0

3 years ago

How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

4 0

3 years ago

Quadrilateral ABCD is inscribed in a circle.

Lerok [7]

In general, the sum of the measures of the interior angles of a quadrilateral is 360. This is true for every quadrilateral. This does not help here, because there are two angles (angles B and D) we know nothing about. We only know about opposite angles A and C.

In this case, you can use another theorem.
Opposite angles of an inscribed quadrilateral are supplementary.

m<A + m<C = 180

3x + 6 + x + 2 = 180

4x + 8 = 180

4x = 172

x = 43

m<A = 3x + 6 = 3(43) + 6 = 135

Answer: 135 deg

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3 years ago

PLEASE HELP WITH THESE TWO WUESTIONS ILL GIVE BRAINIEST AND GIVE YOU PTS

blondinia [14]

The first one is the same amount of points

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3 years ago

I'm struggling on this problem . Find the area of this figure

nignag [31]

Answer:

figure please...... I cant see the figure

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