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Shkiper50 [21]
2 years ago
9

What’s the answer I need it ASAP

Mathematics
1 answer:
mestny [16]2 years ago
3 0

Answer:

(3) HL is an angle bisector.

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A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of
vivado [14]

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

4 0
3 years ago
Can anyone plz help me plz
slega [8]

The constant of proportionality is the slope of the line.

The slope is the change in y over the change in x

Using two pints on the line:

Slope = (3-0) / (1-0) = 3/1 = 3

The answer is 3

5 0
3 years ago
Find m∠USW if m∠USW = 7x - 34 and m∠TSR = 4x + 9.
nikitadnepr [17]

In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .

First we have to find the relationship between those two angles .

And these angles are vertical opposite angles which are congruent .

Therefore

m \angle USW = m \angle TSR

7x-34 = 4x+9
\\
3x = 43
\\
x = 14.33

Therefore measurement of angle USW is

=7(14.33)-34 =66.31 degree

5 0
3 years ago
When using substitution to solve this system of equations, what is the result of the first step x=6y+3
myrzilka [38]
First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5
3 0
2 years ago
Peter's Party Zone sells cups in packages of 6 and plates in packages of 8 . Shaniya is hosting a birthday party for her little
kirill [66]

Answer:

6

Step-by-step explanation:

find a common factor

6*8=48

8*6=48

8 0
3 years ago
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