<h3>
Answer: Choice D) 22.5</h3>
========================================
Explanation:
x = length of BC
AC = AB+BC
AC = 6 + x
CE = CD+DE
CE = 22+8
CE = 30
Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)
Therefore the corresponding sides are proportional letting us set up the proportion below
AC/BC = CE/CD
(6+x)/x = 30/22 .... substitution
22(6+x) = 30x ... cross multiply
132+22x = 30x
132 = 30x-22x ..... subtract 22x from both sides
132 = 8x
8x = 132
x = 132/8 .... divide both sides by 8
x = 16.5
Now use this to find the length of AC
AC = 6+x
AC = 6+16.5
AC = 22.5
Answer:
Step-by-step explanation:
Given:
Two points on a line are given as:
(0, 1) and (2, -2)
We know that the slope of a line passing through points is given as:
Plug in . This gives,
The equation of a line with slope 'm' and points is given as:
Now, on plugging in the second point we get:
Therefore, the first option is correct which is given as:
irrational number, any real number that cannot be expressed as the quotient of two integers.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.
1st Is rational
2nd one is irrational
3rd is irrational
4th is rational
Answer:
x=2/3
Step-by-step explanation:
Since this is a rhomb, AD divides angle CDE in 2 equal parts: CDA=EDA.
Or 9x+3=6x+5
3x=2, x=2/3
Do you remember the special case of factoring the difference of 2 squares ?
x² - 5 = (x + √5) (x - √5)
That will be zero if either factor is zero.
First factor:
x + √5 = 0
<u>x = -√5</u>
Second factor:
x - √5 = 0
<u>x = √5</u>
===================================
Another way to look at it is just to sit there and LOOK at it.
<u>x² - 5 = 0</u>
x² = 5
This is true if x = + or - √5 .