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Angelina_Jolie [31]
4 years ago
12

Is an alternative interior angle crongruent?

Mathematics
1 answer:
ioda4 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Alternate interior angles are equal in measure since their same side counterparts add to 180. This means across the transversal the angles must be equal and congruent.

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A rectangular plot 72 metres long and 20 metres wide on a school farm sided into 18 equal plots. What the area of each plot?
marin [14]

Answer:

Step-by-step explanation:

There are many ways this could be done, but the simplest way is to divide 18 into 72. That gives 4. So each plot is 4 * 20 = 80 m^2

If you are willing to use fractions, the answer could be 20*72 / 18 = 8 * 10  which is more feasible and still gives 80, but the land may not permit it. However math will.

It's hard to give an exact answer when it is this open ended.

6 0
3 years ago
In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x + 10, what is the measure of angle 2?
Rasek [7]
The answer is 30 degrees option b
4 0
3 years ago
Suppose you want to find the difference of two sinusoidal currents, given as follows: i1(t)=I1 cos(ωt+ϕ1) and i2(t)=I2 cos(ωt+ϕ2
viktelen [127]

Answer:

  120.51·cos(377t+4.80°)

Step-by-step explanation:

We can use the identity ...

  sin(x) = cos(x -90°)

to transform the second waveform to ...

  i₂(t) = 150cos(377t +50°)

Then ...

  i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)

A suitable calculator finds the difference easily (see attached). It is approximately ...

  i(t) = 120.51cos(377t+4.80°)

_____

The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.

8 0
4 years ago
Johan always wears a shirt, pants, socks, and shoes. He owns 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants, and 8 shirt
DerKrebs [107]

Answer:

Johan can make 8000 different outfits.

Step-by-step explanation:

Johan needs to pick one of each (shirt, pants, socks and shoes) to make a outfit. The number of socks he has is 20 pairs, so he has 20 possibilities for socks. In the same way, the number of possibilities for shoes is 5, for pants is 10 and for shirts is 8.

So, to find the number of outfits he can make, we need to multiply all the possibilities for each case, so:

Number of different outfits = 20 * 5 * 10 * 8 = 8000.

6 0
4 years ago
Read 2 more answers
Write the following as a complex number in the form a + bi square root -245
Pepsi [2]

Answer:

Step-by-step explanation:

√(-245)=√(49×5×i^2)=7√5 i=0+7√5 i

5 0
4 years ago
Read 2 more answers
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