Answer: The measure of non-reflex ∠DOB is 108° and the measure of reflex ∠DOB is 252°.
Explanation:
It is given that the reflex angle ∠DOB has measure of 3.5y while the measure of ∠AOD is y.
From the given figure we can say that angle AOC and COB are supplementary angles and their sum is 180 because they are lies on a straight line.
Therefore the value of y is 72.
Therefore the reflex and is 252 degree.
The measure of non-reflex ∠DOB is,
Therefore, the measure of non-reflex ∠DOB is 108° and the measure of reflex ∠DOB is 252°.
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
last date of discount period =June 15
cash discount = $215.73
bill or amount = $1402.27
last credit date = July 5
Step-by-step explanation:
A company received an invoice for$1618 dated may 11,terms 2/15 EOM what is the last date of the discount period and last date of credit period answer with formula
a A 2/15 EOM or ending of the month means the buyer receives a cash discount if the amount or bill is paid within a period of 15 days after the end of the month indicated May 11
EOM RESULT in the end of the discount period June 15
Total discount = 2/15 *$1618 = $215.73
Amount or bill to be paid = $1618 - $215.73 = $1402.27 on JUNE 15
last date of credit period the credit period is the period or time the buyer is given to pay the seller That is 20 days after the end of the cash discount period so the credit period last date is JULY 5
Answer:2+x=15-7/8x
We move all terms to the left:
2+x-(15-7/8x)=0
Domain of the equation: 8x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
x-(-7/8x+15)+2=0
We get rid of parentheses
x+7/8x-15+2=0
We multiply all the terms by the denominator
x*8x-15*8x+2*8x+7=0
Wy multiply elements
8x^2-120x+16x+7=0
We add all the numbers together, and all the variables
8x^2-104x+7=0
a = 8; b = -104; c = +7;
Δ = b2-4ac
Δ = -1042-4·8·7
Δ = 10592
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
The end solution:
Δ−−√=10592−−−−−√=16∗662−−−−−−−√=16−−√∗662−−−√=4662−−−√
x1=−b−Δ√2a=−(−104)−4662√2∗8=104−4662√16
x2=−b+Δ√2a=−(−104)+4662√2∗8=104+4662√16
Step-by-step explanation:
