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Ksenya-84 [330]
4 years ago
7

Name two pairs of adjacent angels and two pairs of vertical angels in figure

Mathematics
1 answer:
sashaice [31]4 years ago
3 0

Answer:

As in this case where the adjacent angles are formed by two lines intersecting we will get two pairs of adjacent angles (G + F and H + E) that are both supplementary. Two angles that are opposite each other as D and B in the figure above are called vertical angles. Vertical angles are always congruent

Step-by-step explanation:


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What is the value of sin(−θ) ?
Ghella [55]

Answer:

A

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.

6 0
4 years ago
The cost of a babysitting on a cruise is 10 for the first hour, and 12 for each additional hour. If the total cost of baby Aaron
Sliva [168]

<u>Answer:</u>

5 hours  was Aaron at the sitter

<u>Explanation: </u>

Cost of baby sitting for the first hour: 10

Cost of baby sitting for additional hour= 12

Total cost of babysitting= 58

Since the cost of first hour is 10

Hence  the remaining cost after first hour

= 54-10

=48

Which means 1 hour  is consumed in the first hour

Now to calculate the remaining hours for every additional hour

= \frac{48}{12}

=4 hours

Hence the total hour Aaron was with the sitter

= 1 hour + 4 hours

= 5 hours

4 0
4 years ago
Can someone help me please?
anzhelika [568]

Answer:

1. y ax

|
A-------------------------------B

|

------------C---------------------

|

|__________________x ax

for this, your A might be (0,5), B (5,5), C (2,2).

parallel means railroad tracks: same slope, different intercepts.

line AB in this case has a slope of 0, intercept (0,5), so y₁=0x+5 or just y₁=5

the line passing through C also has slope 0, but intercept (0,2), so y₂=0x+2 or just y₂=2

2. perpendicular means that the slopes of two lines multiply out to -1. If line AB has, for example, a slope of 2/3, then the line passing through C would have slope -3/2 (negative reciprocal). To make things easier have either point A or B be on the x or y axis

khan academy has some helpful videos :)

https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-eq/v/perpendicular-lines

3 0
2 years ago
Verify the following trigonometric identity: (csc x + cot x)^2 = cos x +1/ 1- cos x
Airida [17]

9514 1404 393

Explanation:

As written, the equation is not an identity. Perhaps you want to show ...

  (csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))

__

We will transform the left-side expression to the form of the right-side expression.

  (\csc(x)+\cot(x))^2=\left(\dfrac{1}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}\right)^2=\dfrac{(1+\cos(x))^2}{\sin(x)^2}\\\\=\dfrac{(1+\cos(x))^2}{1-\cos(x)^2}=\dfrac{1+\cos(x)}{1-\cos(x)}\cdot\dfrac{1+\cos(x)}{1+\cos(x)}=\boxed{\dfrac{\cos(x)+1}{1-\cos(x)}}

3 0
3 years ago
Sqr of 10(-3sqr 2-2sqr 5)
stiv31 [10]
\sqrt{10(-3sqr^{2} - 2sqr^{5}} \\\sqrt{10(-3sqr^{2}) - 10(2sqr^{5})} \\\sqrt{-30sqr^{2} - 20sqr^{5}} \\\sqrt{(r^{2} * (-1) * 30sq) - (4r^{4} * 5sqr)} \\r^{2}i - 2r^{2}\sqrt{30sq - 5sqr
8 0
3 years ago
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