the answer is D.
I dont know how to add work for a question like this, however, I know how I'd show work....
Draw a graph and stick a point in the IV quadrant and label it "original". Then next to it, draw another graph and stick a point in the III quadrant and label it "reflection"
TIP: if you do that, make sure the points are in the same location in each quadrant
Answer:
24.75
Step-by-step explanation:
Take 72 ( 6 foot in inches) subtract 22 1/2 from it. You get 49.5. divide 49.5 by 2 and you get 24.75 on each side of the wall. You're welcome . Dont forget to show work.
Answer:
The slope of the red line is also 8
Step-by-step explanation:
Parallel lines never meet. So, they always have the same slope. If they had different slopes, then they would meet on the graph at some point. However, since the lines have the same slope, they will never meet since they proportionally grow at the same rate.
The value of x will be equal to 4√6. The correct option is B.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The value of side x will be calculated by using the angle properties.
SIn( 45 ) = P / H
Sin (45) = 12 / H
H = 12 / ( 1 / √2) = 12√2
Again using the angle property for finding the value of x.
tan30 = P / B
x = tan30 x B
x = ( 1 / √3 ) x 12√2
x = 4√6
Therefore, the value of x will be equal to 4√6. The correct option is B.
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Assuming a diagram similar to the one I've attached, ∠<em>YVZ</em> is a vertical angle to ∠<em>WVX</em>, which means they have an equal measure. Additionally, ∠<em>WVZ</em> and ∠<em>WVX</em> form a linear pair, which means they are supplementary (sum to 180°). That means we start out with the equation

We combine our like terms (the
<em>x</em>'s get combined, then the constants get combined) and have:

Cancel the 9 first by subtraction:

Cancel the 19 by division:

Since we know that our angle we're looking for, ∠<em>YVZ</em>, is the same measure as ∠<em>WVX</em>, we substitute 9 in for <em>x</em>:
8(9)+28=72+28=100°