Answer:
The value of x = 20
Step-by-step explanation:
Given:
∠BOC = 3x - 15
∠COD = 2x + 5
Find:
The value of x
Computation:
⇔ ∠BOC + ∠COD = 90
⇔ 3x - 15 + 2x + 5 = 90
⇔ 5x - 10 = 900
⇔ 5x = 90 + 10
⇔ 5x = 100
⇔ x = 100 / 5
⇔ x = 20
The value of x = 20
Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".
Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.
Then we can use the Law of sines,
sin(70)/13=sin(20)/y
y=sin(20)*13/sin(70)
y=15.34
Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2
x = 20.1
Answer:
Step-by-step explanation:
Gabrielle and John each
wrote the prime factorization of 64.
64 can be break into 32 times 2
32 can be break into 16 times 2
16 can be break into 8 and 2
8 can be break into 4 times 2
4 can be break into 2 times 2
So 64 is equal to 2 times 2 times 2 times 2 times 2 times 2
Answer:
The slope = 3/4
Step-by-step explanation:
m = 3/4
Answer:
12
Step-by-step explanation:
The median is the one in the middle. For an <u>odd</u> number of seats, average the first and last seat numbers.
(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.
For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!
