The answer is 0.23 or 23/100
Answer: The length of segments between this point and the vertices of greater base are
and 18.
Step-by-step explanation:
Let ABCD is the trapezoid, ( shown in below diagram)
In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7
Let P is the point where The extended legs meet,
So, according to the question, we have to find out : AP and BP
In Δ APB and Δ DPC,
∠ DPC ≅ ∠APB ( reflexive)
∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)
And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)
Therefore, By AAA similarity postulate,

Let, DP =x
⇒ 
⇒ 33 +11x = 18x
⇒ x = 33/7= 
Thus, PD= 
But, AP= PD + DA
AP= 
Now, let PC =y,
⇒ 
⇒ 77 + 11y = 18y
⇒ y = 77/7 = 11
Thus, PC= 11
But, PB= PC + CB
PB= 11+7 = 18
Answer:

• Group the h terms by organised term arrangement :

• Then using distributive property, factorise out the value h so that the reverse is true.

• for the variable "lw", divide it by h in order to add it to the bracket of (w + l). Make sure the reverse is true:

• finally, completely factorise out the value h

<span>The absolute value of an integer is the numerical valuewithout regard to whether the sign is negative or positive. On a number line it is the distance between the number and zero. Absolute value is also known as magnitude.</span>
Answer:
B. 
Step-by-step explanation:
Cos θ = Adjacent/hypotenuse
Adjacent = 7
Hypotenuse = √(23² + 7²) = √578 = 17√2
Thus:
Cos θ = 
Rationalize
Cos θ = 
Cos θ = 
Cos θ = 