Hey there! :D
We will use the properties of similar triangles to figure this out.
We will use two triangles inside the kite, with sides with the value of "x".
Smaller triangle:
Smaller side= 11
Bottom side= x
Bigger triangle:
Smaller side= x
Bottom side= 25
Cross multiply.
25*11= 275
x*x=
Find the square root.
√275= 16.583....
Or 5√11.
I hope this helps!
~kaikers
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:
See image below it keeps going .
Answer:
Roots are [4, -14}.
Step-by-step explanation:
1/2 (x+5)^2 + 2 = 42.5
Work out the square of the parentheses:
1/2 ( x^2 + 10x + 25) + 2 = 42.5
Multiply the parentheses by 1/2:
1/2 x^2 + 5x + 12.5 + 2 = 42.5
Subtract 42.5 from both sides of the equation:
1 /2x^2 + 5x +14.5 - 42.5 = 0
Simplify:
1/2 x^2 + 5x - 28 = 0
Multiply through by 2 to get rid of the 1/2:
x^2 + 10x - 56 = 0
Factor:-
(x + 14)(x - 4) = 0
Either x + 14 = 0 giving x = -14.
or x - 4 = 0 giving x = 4.
Answer:
5 feet per second
Step-by-step explanation:
Given that,
X(seconds) 0 1 2 3 4
Y (feet) 0 1 4 9 16
We need to find the average rate of change between 1 seconds and 4 second.
X = 4-1 = 3 seconds
Y = 16 - 1 = 15 feet
We know that,
Speed = distance/time
So,
So, the correct option is (c).
