Let
x = measure of angle TAP
y = measure of angle BRE
We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say
y+y = 90
2y = 90
2y/2 = 90/2
y = 45
So angle BRE is 45 degrees. Note how 45+45 = 90.
We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees
x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135
Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees
B because the sum of B is 15 and it is composite because 3*5=15
Order of operations: the rules of which calculation comes first in an expression.
They are: PEMDAS
<span><span>Do everything inside parentheses first: ()
</span><span>then do exponents: x2
</span><span>then do multiplies and divides from left to right
</span><span>lastly do the adds and subtracts from left to right</span></span>
We need to solve x+2y=11 for x
Let's start by adding -2y to both sides
x+2y -2y = 11-2y
x= -2y+11
Now substitute -2y+11 for x in x-2y =-1
x-2y=-1
-2y+11-2y=-1
-4y+11=-1
Add -11 to both sides
-4y+11-11=-1-11
-4y=-12
Divide both sides by -4
-4y/-4 = -12/-4
y= 3
Substitute 3 for y in x=-2y+11
x= -2y+11
x = (-2)(3)+11
x=-6+11
x=5
The answer is x=5 and y=3
(5,3)
I hope that's help:)
We notice that the common ratio of teh sequence is 10, and that the first term is -0.56, then the recursive formula is:
