Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
Answer:
a5=445
Explanation:
a of n=(a+1)*n
a1=2
I found the pattern to add 1 to the previous number and then multiply it by its number in the sequence. Apologies for the terrible format of my recursive formula.
Proof of pattern:
(2+1)*2=6
(6+1)*3=21
(21+1)*4=88
a5=(88+1)*5=445
Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to 
.
In a 45-45-90 triangle, the hypotenuse is equal to 
this means in order to find missing side length a, we have to multiply 
this will give us 4
so the missing side lengths are, and 
C, because the equation of the table is y=80x. The equation for the graph is y=45x. When x is 11, you have 880 and 495. The difference is 385.
The number is 10.
x/5 = x-8
You multiply both sides by 5.
x = 5(x-8)
x = 5x-40
Subtract 5x from both sides
-4x = -40
x= -40 / -4
x=10
