Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.
1 answer:
Answer:
The measure of the diagonals are 10 units each.
Step-by-step explanation:
The diagonals of a rectangle are always equal (Refer to image).
⇒ -2x + 34 = 3x - 26
⇒ -2x + 60 = 3x
⇒ 60 = 5x
⇒ 60/5 = 5x/5
⇒ 12 = x
Now, let's substitute the value of x into any diagonal.
⇒ -2x + 34 = WY
⇒ -2(12) + 34 = WY
⇒ -24 + 34 = WY
⇒ 10 units = WY
Thus, the measure of the diagonals are 10 units each.
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Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m = = -
, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = - + c ⇒ c = 4 +
=
y = - x +
← equation of line