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schepotkina [342]
3 years ago
12

The angles below form a linear par. What is the measure of angle abc

Mathematics
2 answers:
Elanso [62]3 years ago
5 0

Answer:

180-48

132

Hope this helps!

Marat540 [252]3 years ago
4 0

Answer:

ABC =132

Step-by-step explanation:

The angles form a straight line which is 180 degrees

ABC + BCD = 180

ABC + 48 = 180

Subtract 48 from each side

ABC = 180-48

ABC =132

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Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????
VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}

So we need to begin with the definition of tangent, we know that tan (x) =\frac{sin(x)}{cos(x)} and we can do this:

tan (x+y) = \frac{sin (x+y)}{cos(x+y)}   (1)

We also have the following identities:

sin (a+b) = sin (a) cos(b) + sin (b) cos(a)

cos(a+b)= cos(a) cos(b) - sin(a) sin(b)

Now we can apply those identities into equation (1) like this:

tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos(x) cos(y)} we got this:

tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}

And simplifying we got:

tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}

And that complete the proof.

8 0
3 years ago
Find the slope of (-2,1),(2,-2)
Volgvan

Answer:

-3/4 is the slope.

Step-by-step explanation:

Use this formula to find slope.

y2-y1/x2-x1

PLUG IN

-2 -1/2- (-2) = -3/4

The slope is -3/4

3 0
3 years ago
Read 2 more answers
According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.4 ce
stiv31 [10]

Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with \mu=23.3\ cm and \sigma=1.3\ cm.

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or​ smaller :-

P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%

Hence,  the required answer = 22.0.6%

4 0
3 years ago
A triangle has the dimensions shown. The perimeter of
exis [7]

Answer:

A. linear expression

Step-by-step explanation:

Just got it right on the test.

4 0
3 years ago
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Luden [163]

Answer:

i think n(a) =10

Step-by-step explanation:

hope this is helpful

4 0
2 years ago
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