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tangare [24]
3 years ago
11

Suppose that angle P = 3x + 14 and angle Q = 3x - 27. If these angles are supplementary, angle Q would need to be ___ degrees.

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

Q = 69.5 degrees

Step-by-step explanation:

3x + 14 + 3x - 27 = 180

6x - 13 = 180

6x = 193

x = 32.1667

Q = 3(32.1667) - 27

Q = 69.5

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Aleks04 [339]

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3 years ago
) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.
snow_tiger [21]
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

    i   j   k
   5 -1 -6
   1  1  1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>

Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
5 0
3 years ago
Tangent is positive in quadrants I and IV only.<br>True or False
zhannawk [14.2K]

Answer:

The statement is false

Step-by-step explanation:

we know that

tan(x)=\frac{sin(x)}{cos(x)}

The tangent function will be positive when the sine function and the cosine function have the same sign

so

In the first quadrant the tangent function is positive

In the third quadrant the tangent function is positive

so

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6 0
3 years ago
Read 2 more answers
PLEASE HELP I AM STRUGGLING
ArbitrLikvidat [17]

Answer:

y=-2x+2

Step-by-step explanation:

the slope intercept form is y=mx+b

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(14-2)/(-6-0). which out simplify to -2.

y-intercept - the y-intercept is given in one of the points (0,2).

5 0
3 years ago
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