I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.
However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.
In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.
Laurie must make 4.5 batches for the school bake sale, and 2 batches for her family. Therefore, in total, Laurie must make 4.5 + 2 = 6.5 batches of cookies.
Since each batch of cookies requires 0.25 pounds of butter, we can multiply that amount by the number of batches baked: 0.25 * 6.5 = 1.625 pounds of butter.
So Laurie uses 1.625 pounds of butter to make all the cookies.
Answer:
x = 2
Hope it helped :D
Step-by-step explanation:
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k = 
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2
That would be true because the adjacent side to B is 4 and the hypotenuse is 5 and the formula for cos b is adjacent/hypotenuse
Hope this helps!