Step one: multiply and divide in order.
Step two: add and subtract like terms.
Step three: get X alone on one side (what you do to one side you have To do to the other side)
Step four: simplify and solve :)
Answer:
x = 25, y = 5
The interior angles:
<ABC = 75°
<BCD = 50°
<CDA = 105°
<DAC = 130
Step-by-step explanation:
The question has no attachment. See attachment for complete question.
Polygon ABCD is a cyclic quadrilateral.
For cyclic quadrilaterals, their opposite angles add up to 180°.
Meaning that;
2x + 26y = 180 ---- equation 1
and
3x + 21y = 180 ------ equation 2
These will be solved simultaneously..
Multiply ½ to both sides of equation 1
½(2x + 26y) = ½ * 180
½ * 2x + ½ * 26y = ½ * 180
x + 13y = 90
Make x the subject of formula
x = 90 - 13y
Multiply both sides of equation 2 by ⅓
⅓(3x + 21y) = ⅓ * 180
⅓ * 3x + ⅓ * 21y = ⅓ * 180
x + 7y = 60
Recall that x = 90 - 13y.
So, x + 7y = 60 becomes
90 - 13y + 7y = 60
90 - 6y = 60
Collect like terms
-6y = 60 - 90
-6y = -30
Divide both sides by -6
-6y/-6 = -30/-6
y = 5
Recall that x = 90 - 13y.
So, x = 90 - 13(5)
x = 90 - 65
x = 25
Having calculated x and y, the interior angles can then be calculated.
The interior angles of the polygon are
1. <ABC
2. <BCD
3. <CDA
4. <DAC
Recall that x = 25 and y = 5
<ABC = 3x
<ABC = 3 * 25
<ABC = 75°
<BCD = 2x
<BCD = 2 * 25
<BCD = 50°
<CDA = 21y
<CDA = 21 * 5
<CDA = 105°
<DAC = 26y
<DAC = 26 * 5
<DAC = 130
Hence,
x = 25, y = 5
The interior angles:
<ABC = 75°
<BCD = 50°
<CDA = 105°
<DAC = 130
Answer:
P = (10 over 5)·(1/2)^10 = 10·9·8·7·6/(5·4·3·2·1)·(1/2)^10 = 63/256
You need to add the x^4, x^3, x^2, and x term in there so you can have place holders to do the rest of the problem
You will have something like:
Then you start the long division process
When you get done you will have
with a remainder of 0