Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒ 
⇒ 
⇒ 
hence, the length of diagonal is 18 m
5x3=15 3x2=6 15x6=90 So your answer is 90.
A = (2+9)/2
a = 11/2
a = 5.5
__________________
b = (4+4)/2
b = 4
__________________
d = √(9-2)²+(4-4)²
d = √7²+0²
r = 3,5
____________________
(x-a)² + (y-b)² = r²
(x-5.5)² + (y-4)² = 3,5²
(x-5.5)² + (y-4)² = 12.25
Answer:
h(x) = 
-18
Step-by-step explanation:
-b/2a is the formula to find the vertex's x coordinate.
-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer
Answer:
-2x - 2
Step-by-step explanation:
Step 1: Write expression
3 - (2x + 5)
Step 2: Distribute negative
3 - 2x - 5
Step 3: Combine like terms
-2x - 2
