Answer: option. y=-1.33x; 2.67
Solution:
If y varies directly with x, the relation between y and x is:
y=kx
where k is a constant of proporcionality.
We know y=8 when x=-6. Replacing these values in the equation above:
8=k(-6)
8=-6k
Solving for k: Dividing both sides of the equation by -6:
8/(-6)=-6k/(-6)
-1.33=k
k=-1.33
Then the relation between y and x is:
y=kx→y=-1.33x
What is the value of y when x=-2?
Replacing x by -2 in the formula:
y=-1.33x→y=-1.33(-2)→y=2.66
Answer:
True☆The diagonals are congruent.
Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)
Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)
True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)
True☆All angles are congruent. (All four angles are right angles--part of the definition)
Answer:
4
Step-by-step explanation:





This is a question that can be solved with Pythagorean Theorem since it is a right triangle. The longest side, 29, is the hypotenuse and the sides 21 and x are the legs. So, the Pythagorean Theorem states,

Where,
c is the Hypotenuse, a and b are the legs. Putting the respective values gives us,

So, 20 is the side length of x.
ANSWER: 20