Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°
Answer:
4.78 x 10^11
Here is the answer to your problem
Answer:
BD - AC = 0
Step-by-step explanation:
Given that:
BC = 36 , CD = 15 and BD = x
As these are forming right angled triangle,
Using Pythagorean theorem,

Taking square root on both sides

As the given shape is rectangular, the sides parallel to each other will have same values.
AB = 15 , AD = 36 and AC = x

Now,
BD - AC = 39 - 39 = 0
Hence,
BD - AC = 0
Answer:
The answer is B. $3.85.
Step-by-step explanation:
This is because, first if we get the percentage that the shoes were marked up by, we get that they were marked up to $35, because 40% of $25 is $10 and $25 + $10 = $35.
Then, we find the percentage of $35 that she earned. In order to do this, we see what 11% of $35 is. We get $3.85, because 10% of $35 is $3.50, and 1% of $35 is $0.35. $3.50 + $0.35 = $3.85.
This is why the answer is B. $3.85.
Answer:
the first 1
Step-by-step explanation: