9514 1404 393
Answer:
$81
Step-by-step explanation:
The garden is 4 yards = 12 feet by 3 yards = 9 feet. The area of it is the product of these dimensions, ...
(12 ft)(9 ft) = 108 ft²
The cost of fertilizer for that area will be ...
($0.75/ft²)(108 ft²) = $81.00
They will spend $81.00 to fertilize the garden.
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
Answer:
slope = -9/2
Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
y = -9/2 x
Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0
Hope this helps :)
y = -9/2
The triangle is an isosceles triangle with exactly two congruent angles.
Since the two 45-deg angles are congruent, their opposite sides are also congruent. That makes y = 5.
This triangle is a 45-45-90 triangle. In a 45-45-90 triangle, the legs are congruent and the hypotenuse is sqrt(2) times the length of the legs.
The hypotenuse has length x, so x = 5 * sqrt(2) = 5sqrt(2)
Answer: B. x = 5sqrt(2), y = 5