Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°
Prove: x= 39°
Statement Reason
1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given
and m∠ DOC= (x+14)°
2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC
into ∠AOD and ∠DOC
3. (3x-10)° +(x+14)°= 160° 3. By substitution
4. 4x+4 = 160° 4. By equating like terms
5. 4x= 156° 5. By subtraction property
of equality
6. x= 39° 6. By division property of equality
The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
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f(x) = g(x) at x = 2.
In order to find this, you look for where the two graphs intersect. In this case, they intersect at the point (2, 5). At this point, both f(x) and g(x) both equal 5. So to identify the point, we need to look at the x value of the ordered pair, which is x = 2.
Answer:
Cr = 10
Step-by-step explanation:
To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.
![C(n,r)=[?]](https://tex.z-dn.net/?f=C%28n%2Cr%29%3D%5B%3F%5D)
[RevyBreeze]
Combined like terms 11d+8
