Answer:
in steps
Step-by-step explanation:
DE // BC
m∠ADE = m∠ABC and m∠AED = m∠ACB
∴ ΔADE similar to ΔABC
AB/AD = AC/AE
(AD + DB) / AD = (AE + EC) / AE
AD/AD + DB/AD = AE/AE + EC/AE
1 + DB/AD = 1 + EC/AE
DB/AD = EC/AE (AD/DB = AE/EC)
Answer:
The correct answer is OB.
Step-by-step explanation:
Let us recall the Associative Property of Addition: given three real numbers
,
and
the following equality holds:
.
Let us remark that the Associative Property of Addition tells us that we can perform the sums in any order. So,
.
In the other options there was used the Commutative Property of Addition.
Answer:
Angle 1: 55
Angle 2: 110
Angle 3: 15
Step-by-step explanation:
Angle 1: x
Angle 2: 2x
Angle 3: x-40
The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).
Answer: A. y = |−x + 3| − 2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find x
tan22° =
= 
Multiply both sides by x
x × tan22° = 203 ( divide both sides by tan22° )
x =
≈ 502.5 m → B