Answer:
4) Alternate Interior angles 5) Parallel lines property.
Step-by-step explanation:
The question is asking us to Complete the statements to prove that line AB ⩭ to line CD and line BC ⩭ to line AD.
In statement 4 .∠CAB is congruent to ∠ACD as AB is parallel to CD and ∠BCA is congruent to∠CAD as AD is parallel to BC and these are Alternate interior angles to the parallel lines .
In statement 5.m∠CAB =∠ACD and ∠BCA = ∠CAD as by property of parallel lines Alternate interior angles are equal.
There is no y in this question, however we can solve for t.
1.4t - 0.4(t - 3.1) = 5.8
1.4t - 0.4t + 1.24 = 5.8
t + 1.24 = 5.8
t = 4.56
A
It is a first degree polynomial (aka linear because its highest power is 1) and it has two terms (2x and 8)
It does not have eight terms and is not a monomial (one term ie 3x^2)
Given:
The quadratic equation is

To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is
, then

We have,

It can be written as

...(i)
Here,
.



Putting
in (i), we get
On further simplification, we get
So, the vertex of the given quadratic equation is
.
Therefore, the correct option is A.
Answer:
51.39 units³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of base × height
Here area of base = 5.71 and height = 9, thus
V = 5.71 × 9 = 51.39 units³