Lines <em>a</em> and <em>b</em> are parallel, so lines <em>p</em>, <em>q</em>, and <em>t</em> are considered to be transversals. To solve this, you make use of the fact that alternate interior angles are equal, as are alternate exterior angles, as are corresponding angles. Of course any linear pair of angles is supplementary.
∠1 = 90° — corresponding angle to the right angle above it
∠2 = 68° — the sum of 22° and angles 1 and 2 is 180°
∠3 = 112° — supplementary to angle 2 (and the sum of 22° and 90°, opposite interior angles of the triangle)
∠4 = 112° — equal to angle 3
∠5 = 68° — equal to angle 2; supplementary to angle 4
∠6 = 56° — base angle of isosceles triangle with 68° at the apex; the complement of half that apex angle
∠7 = 124° — supplementary to the other base angle, which is equal to angle 6; also the sum of angles 5 and 6
∠8 = 124° — alternate interior angle with angle 7, hence its equal.
Answer:
Y~x
Y = k × v
Y = 22
Step-by-step explanation:
Y~ x
Y = k × X
Since the question isn't complete,we are going to assign figures to complete this very question and move on to other things and you can as well solve questions that are similar to this ones.
Now let's assume that the question says that is 6 when x is 3,what is y when x is 11.
To solve this question above,we need to find the constant of variation which will then enable us to know what y is when x is 11
Y~ x
Y = k × V
When y is 6 and x is 3,k will be
6 = 3k
K= 2
Now when k is 2,x is 11,y Will then be
Y = kx
Y = 2 × 11
Y = 22.
With this procedure,one can find any value of x or y when they have the constant of variation.
If you have a figure assigned to x and y is to be found,the constant of variation will help to get y and vice versa
Answer:
-3x - 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>The volume is the product of three dimensions, so the ratio of volumes is the cube of the scale factor:</u>
- k = 8/11
- k³ = (8/11)³ = 512 / 1331
