Answer:
Side-side-side postulate
Step-by-step explanation:
In the first statement, we are given that AC = BD ....... (1){It is given}
Now, in the second statement, we are given that AB = DC ...... (2){ Because the parallelogram has equal opposite sides}
Now, again we are given that AD = DA ........... (3) {From the symmetric property}
Now, conditions (1), (2), and (3) are applicable to say that Δ ABD and Δ ACD are congruent.
Since there are three sides involved to say Δ ABD ≅ Δ ACD, so it is by Side-side-side postulate. (Answer)
The area of the blanket - 24 ft²
length being longer than the width means that blanket is a rectangle
width of the blanket = x
length of blanket = x +2
area = length * width
area = x * (x+2)
= x² + 2x
since area = 24
x² + 2x = 24
x² + 2x - 24 = 0
we have a quadratic equation and we need to now solve for x
x² + 6x - 4x - 24 = 0
x (x + 6) - 4(x + 6) = 0
(x-4) (x+6) = 0
x-4 = 0 or x + 6 = 0
x = 4 or x = -6
x could be either 4 or -6. since dimensions cannot have negative values,
x ≠ -6
therefore x = 4
width = 4 ft
length = 6 ft
Since they are equal to 90 degrees. (complimentary angles)
6x-11+7x+10= 90
Combine like terms.
13x-1= 90
Add one to both sides.
13x= 91
x= 7
Plug that into the b.
7(7)+10
49+10
59
I hope this helps!
~kaikers
Number four is 8.0596 and number 5 is 1.98102
Answer:
x = 2√3
Step-by-step explanation:
The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.
The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.
x = 2√3
