Answer:
Step-by-step explanation:
1. Since, it is given that ABCD is a parallelogram, therefore opposite angles of parallelogram are equal, hence
∠B=∠D
⇒7x-31=5x+13
⇒2x=44
⇒x=22
Hence, option B is correct.
2. Since, we get x=22, therefore
∠B=7x-31=7(22)-31=154-31=123°
∠B=123°
and ∠D=5x+13=5(22)+13=123°
∠D=123°
Also, ∠A+∠D=180°(corresponding angles)
⇒∠A=180-123
⇒∠A=57°
Now, ∠A=∠C=57°(opposite angles of parallelogram)
thus, Two of the angles measure 57°, and the other two measure 123°.
Therefore, option A is correct.
Answer:
1+1=2 i think
Step-by-step explanation:
Answer:
f(x)=6x-5
Step-by-step explanation:
The common difference is 6 because of the following:
7-1=6
13-7=6
19-13=6
25-19=6
31-25=6
The common difference is the slope of the linear equation.
Slope-intercept form for a function is f(x)=mx+b where m is the slope and b is the y-intercept.
We just found m=6.
f(x)=6x+b
The y-intercept happens at x=0.
I'm referring to looking at the data as:
x | y
1 | 1
2| 7
3| 13
4| 19
5| 25
6| 31
We can use the pattern that y goes up by 6 as x goes up by 1 to find what happens at x=0.
x| y
0 1-6=-5
So b=-5.
So the function that we are looking for is f(x)=6x-5.
Answer: y=x^8-x^7+x^6-x^5+x^4+x^3+x^2+3
Step-by-step explanation:
here is an example function that satisfies the requirement:
y=x^8-x^7+x^6-x^5+x^4+x^3+x^2+3
if you plug in x=0,
you get y= 3, which satisfies (0,3)
if you plug in x=1,
you get y = 1 - 1 + 1 - 1 + 1 + 1 + 1 + 3,
you get y=6, which satisfies (1,6)
what I know is that 12 is less than 300 and divisible by 12/3=4, and12/4=3