One cups is equal to 0.0625 gallons so what ever your cups are just multiply it by the gallons and you will get your gallons...
Answer:
(1) ΔMAN ≅ ΔBOY
(2) ΔMAT ≅ ΔRUG
(3) ΔEBN ≅ ΔUHR
(4) ΔTOP ≅ ΔLID
(5) ΔCAT ≅ ΔDOG
(6) ΔITP ≅ ΔLOH
Step-by-step explanation:
The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.
The combinations are:
(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.
(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.
(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.
(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Part (1):
As we are given two triangles.
Side AM = Side OB
Side MN = Side BY
Side AN = Side OY
That means,
ΔMAN ≅ ΔBOY
Part (2):
As we are given two triangles.
Side MA = Side RU
Side MT = Side RG
Side AT = Side UG
That means,
ΔMAT ≅ ΔRUG
Part (3):
As we are given two triangles.
Side EB = Side UH
Side BN = Side HR
Side NE = Side RU
That means,
ΔEBN ≅ ΔUHR
Part (4):
As we are given two triangles.
Side OT = Side IL
Side OP = Side ID
Side PT = Side DL
That means,
ΔTOP ≅ ΔLID
Part (5):
As we are given two triangles.
Side AC = Side OD
Side AT = Side OG
Side TC = Side GD
That means,
ΔCAT ≅ ΔDOG
Part (6):
As we are given two triangles.
Side TP = Side OH
Side IT = Side LO
Side IP = Side LH
That means,
ΔITP ≅ ΔLOH
Answer:
<h2>$60.</h2>
Step-by-step explanation:
The cost for 0 cubic yards of gravel refers to the y-intercept of the function.
First, we find the constant ratio of change
The constant ratio of change is 32, that means the cost per cubic yard of gravel is $32.
Now, we just subtract this ratio twice to find the relations until we have x = 0.
So, for 1 cubic yard, the cost is $92.
For 0 cubic yards, the cost is $60, that's the y-intercept or the initial condition.
Therefore, the answer is $60.
The answer of 6% of 20,200 is 1,212
Answer: The dimensions of the flower bed are,
39 ft, 57 ft and 78 ft.
Step-by-step explanation: Of the three sides, one side is twice the length of the shortest. Let the shortest side be labelled as b. That means one of the sides of the flower bed measures twice b, that is, 2b.
Also we are told that the third side measures 18 feet more than the shortest side, b. The third side can now be represented by b + 18.
So the triangle has sides
b, 2b and b + 18
If the perimeter is 174, then
b + 2b + (b + 18) = 174
b + 2b + b + 18 = 174
4b + 18 = 174
Subtract 18 from both sides of the equation
4b = 156
Divide both sides of the equation by 4
b = 39.
Therefore the shortest side of the triangle measures 39 ft while the other two sides measure 78 ft (twice the length of b) and 57 ft (18 ft more than the shortest side)
