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Neporo4naja [7]
3 years ago
15

If 3 measures 123°) what is the measure of 6​

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

Answer B, 123 degrees

Step-by-step explanation:

Angle 3 and angle 6 are alternate interior angles. This means that, by the Alternate Interior Angles Theorem, they are congruent, and therefore equal.

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2 years ago
Find the GCF<br> 50x^4, -10x^5, 2x^6
shtirl [24]

Answer:

2 x^4

Step-by-step explanation:

Recall that the GCF is the greatest of the product of factors that are common to all these three expressions

then for the pure numerical part, the factor common to 50, -10 , and 2 is "2"

and for the variable part x^4 is the largest common to all three expressions.

Therefore the GCF is: 2 x^4

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Can someone help me with this math homework please!
TEA [102]

Answer:i dont know

Step-by-step explanation:

4 0
2 years ago
Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
____ [38]
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


4 0
3 years ago
Select the correct answer from the drop down menu. with references to the figure, sin x =
Lubov Fominskaja [6]

Answer:

.894

Step-by-step explanation:

First thing to do is to solve for the height of the triangle, BD.  That's easy.  We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8.  Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest.  For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB.  First let's use geometric mean to find AD.  The formula for that, now that we know the height, is

BD^2=(AD)(DC)

Filling that in with numbers we have

8^2=(AD)16 and

64 = 16(AD).  Solve for AD to get that AD has a length of 4.  Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.

8^2+4^2=c^2 and

64+16=c^2 so

c=√80 which simplifies to 4√5.  That means that the sin ratio for x is

\frac{8}{4\sqrt{5} }

which divides out to .894

6 0
3 years ago
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