A parallelogram is formed by the supports that attach a basketball backboard and rim to the wall. The angles change as the baske
1 answer:
The measure of angle BCD is 32 degrees
<h3>How to determine the value of BCD?</h3>The image of the parallelogram that completes the question is added as an attachment.
The given parameter is:
m<DAB = 32 degrees
From the attached image, we can see that BCD and DAB are opposite angles.
Opposite angles of a parallelogram are equal.
So, we have:
BCD = 32 degrees
Hence, the measure of BCD is 32 degrees
Read more about parallelograms at:
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Answer:
y = 3x +2
Step-by-step explanation:
It is helpful to be acquainted with the parts of at least a couple of different forms of the equation for a line.
You are given the equation of a line in "slope-intercept" form. It looks like ...
... y = mx + b . . . . . . . where m=-1/3 and b=-1
The coefficient of x, which is m, is the slope of the line. That is -1/3 for the given line.
The relationship between the slopes of perpendicular lines is that they multiply to give -1. We say each is the opposite reciprocal of the other. If we let "m" stand for the slope of the perpendicular line, it satisfies the equation ...
...(m)(-1/3) = -1
... m = -1/(-1/3) = 3 . . . . . the slope of the perpendicular line is 3.
____
Here's where another form of the equation for a line is useful. We can write the "point-slope" form* as ...
... y = m(x -h) +k . . . . . . for a line of slope m through point (h, k)
We want our line of slope = 3 to go through the point (1, 5), so its equation can be ...
... y = 3(x -1) +5 . . . . . . . variation of "point-slope" form
The given equation is in slope-intercept form, and the question asks for "the" equation of the line, so we probably should write our answer in the same form as the given equation. We can do this by eliminating the parentheses and simplifying the equation we have.
... y = 3x -3 +5 . . . . eliminate parentheses using the distributive property
... y = 3x +2 . . . . . . collect terms
The graph shows our result is at least plausible: it looks like it is perpendicular, and it goes through the given point.
___
<em>*Comment on point-slope form</em>
Usually, you will see "point-slope" form written as ...
... y -k = m(x -h) . . . . . . . . standard version of "point-slope" form
When our intent is to use this form to get to slope-intercept form, it is more convenient to add k to this equation to get ...
... y = m(x -h) +k . . . . . . . occasionally useful version
Answer:
1)
2)
3)
4)
5)
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:
Then:
1) You must substitute into the expresion
:
Now, you must evaluate:
2) You have to substitute the given value of "x" into the second expression:
Finally, evaluating, you get the following result:
3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting into the expression
and then evaluating, you get:
4) By definition:
Then, substituting into
and evaluating, you get:
5) Since:
When you substitute the given value of "x" into the last expression and then you evaluate, you get:
Answer:
The equation of line passing through (10,9) and having slope 3/2 is:
Step-by-step explanation:
The slope intercept form of a line is given by:
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
Putting b=-6 in the equation
Hence,
The equation of line passing through (10,9) and having slope 3/2 is:
Answer:
L = the slanted height of the pyramid
Step-by-step explanation:
The surface area of a pyramid is given by :
Where
P is perimeter of base of pyramid
L is the slant height of the pyramid
B is the area of base.
So, the correct option is (c) "the slanted height of the pyramid".