The angles with measures (5x + 4y)º and 74º are congruent because they form a pair of alternate interior angles between the parallel horizontal bars, so
5x + 4y = 74
The other two labeled angles are also congruent because they are corresponding interior angles that occur between the parallel vertical bars, so
20x + 4y = 164
Then
(20x + 4y) - (5x + 4y) = 164 - 74
(20x - 5x) + (4y - 4y) = 90
15x = 90
x = 6
which means
5*6 + 4y = 74
4y = 44
y = 11
Answer:
About $17.16
Step-by-step explanation:
$80-$28.50= 51.5
Then you divide that by 3 (for the 3 ties)
First, we find the slope of the given line.
<span>3x − 4y = 7
-4y = -3x + 7
y = (3/4)x - 7/4
The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.
Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),
We use the point-slope form of the equation of a line.
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4) <---- check option E. Is the fraction 3/4 not there?
y + 2 = (3/4)x + 3
y = (3/4)x + 1
4y = 3x + 4
3x - 4y = -4 <------ this is choice B.
</span>
Answer:
(-6, 0)
Step-by-step explanation:
y = 4x + 24
Plug y = 0
0 = 4x + 24
4x = - 24
x = - 24/4
x = - 6
So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)
Answer:
30°
Step-by-step explanation:
TW UV
If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.
The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.
Now, looking at the image, we can see that:
Arc TW subtends Angle V and Angle U
*on the opposite side of the circumference*
So,
Angle V (measure given to be 30) is HALF of Arc TW, so
Arc TW = 2 * 30 = 60
So, Angle U is half of Arc TW
60/2 = 30
Hence,
<u>∠U = 30°</u>
