9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...
4x +4x = 180°
x = 22.5° . . . . . . divide by 8
_____
BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.
<h3><u>Correct </u><u>Question </u><u>:</u><u>-</u></h3>
What is the 5th term of an AP 2 , 14 ....98 .
<h3><u>Given </u><u>:</u><u>-</u><u> </u></h3>
<u>We </u><u>have </u><u> </u><u>AP</u><u>, </u>
- <u>AP </u><u>is </u><u>the </u><u>arithmetic </u><u>progression </u><u>or </u><u>a </u><u>sequence </u><u>of </u><u>numbers </u><u>in </u><u>which </u><u>succeeding </u><u>number </u><u>is </u><u>differ </u><u>from </u><u>preceeding </u><u>number </u><u>by </u><u>a </u><u>common </u><u>value</u><u>. </u>
<h3><u>Solution </u><u>:</u><u>-</u></h3>
<u>We </u><u>have </u><u>an </u><u>AP </u><u>:</u><u>-</u><u> </u><u>2</u><u> </u><u>,</u><u> </u><u>1</u><u>4</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>9</u><u>8</u>
<u>Therefore</u><u>, </u>
<u>Here</u><u>, </u>
Common difference of an AP
Thus, The common difference is 12
<u>Now</u><u>, </u>
We know that,
Hence, The 5th term of given AP is 50
To reflect a function across the y-axis you have to change
So, the function becomes
To get the constant of proportionality (unit rate) you must find the miles driven in 1 hour. To get this you simply divide 200 by 4...
200÷4=50
So, the constant of proportionality is 50 mph.
1. 35x + 0.15y
=3500x + 15y [multiplying the equation by 100]
= 700x + 3y [dividing the equation by 5]
2. Let x be an even integer
x + (x+2) + (x+2+2)
x+x+2+x+4
3x+6
3. 1/5*(r+7) - 9s
(r+7)/5 - 9s
4. x=cows
y= goats + sheep
x= (y+140)/2