For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers
3 x 7 = 21
21 feet² is the area of the smallest side
hope this helps
To graph the function g(x) = (x<span> – 5)</span>2<span> – 9, shift the graph of </span>f(x<span>) = </span>x2 <span>✔ right
</span><span> 5 units and </span><span>✔ down</span><span> 9 units.</span>
Hello,
A good first step to take would be to calculate how much of a barrel John and Mary can drink together in 1 day.
If John can drink 1 barrel in 6 days, then every day he can drink 1/6 of a barrel.
If Mary can drink 1 barrel in 12 days, then every day she can drink 1/12 of a barrel.
Every day, the total that John and Mary can drink will be (1/6) + (1/12) = (1/4) of a barrel.
If we want to know how many days it will take for them to drink 1 barrel of water together, and they drink 1/4 of a gallon every day, we do
(1) / (1/4) = 1 * (4/1) = 4 days
It will take 4 days for John and Mary to drink 1 barrel together.
Hope this helps!
Answer:
The reasons are given below.
Step-by-step explanation:
In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC
In ΔAXC and ΔBXC,
AX=BX (Given)
∠3 = ∠4 = 90° (both right angles)
CX=CX (Common i.e reflexive property of equality)
Hence by SAS similarity theorem ΔAXC ≅ ΔBXC
hence, the above are the reasons of the statements in given proof.