1) the small and large triangles are similar, then we can write:
x/24 = 8/18
Cross multiplication → 18x = 24.8 → 18x = 192 and x = 192/18
and x = 32/3 Or 10 ²/³
2) Δ ABC is similar to Δ EDC Since:
∠A = ∠D = 90°
∠C is common
Answer:
x • (2x + 5)
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((6x + 3x2) - x) - x2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x2 + 5x = x • (2x + 5)
D. About 3.2 units is the correct answer
Answer: 4*sqrt(66)
This is the same as saying 
===========================================================
Explanation:
x = length of segment BD
Because BD is an altitude of triangle ABC, this means the triangle is split into two smaller right triangles which are similar to the original. All three right triangles are similar to one another.
What this leads to is the proportion
CD/BD = BD/AD
Apply substitution and solve for x.
24/x = x/44
24*44 = x*x .... cross multiply
1056 = x^2
x = sqrt(1056)
x = sqrt(16*66)
x = sqrt(16)*sqrt(66)
x = 4*sqrt(66)
Notice how I factored 1056 in such a way that I pulled out the largest perfect square factor (16). Then I used the rule
to break up the root.
Answer:
6-(-67) = 73
Step-by-step explanation:
If k equals -67 the answer would be 73.