Answer:
Part 1) The measure of angle d is 65°
Part 2) The measure of angle c is 89°
Part 3) The measure of arc a is 131°
Part 4) The measure of arc b is 47°
Step-by-step explanation:
we know that
In an inscribed quadrilateral, opposite angles are supplementary
step 1
Find the measure of angle d
∠d+115°=180°
∠d=180°-115°=65°
step 2
Find the measure of angle c
∠c+91°=180°
∠c=180°-91°=89°
step 3
Find the measure of arc a
we know that
The inscribed angle measures half that of the arc comprising
115°=(1/2)[99°+arc a]
230°=[99°+arc a]
arc a=230°-99°=131°
step 4
Find the measure of arc b
we know that
The inscribed angle measures half that of the arc comprising
∠c=(1/2)[arc a+arc b]
substitute the values
89°=(1/2)[131°+arc b]
178°=[131°+arc b]
arc b=178°-131°=47°
Y=45x should be the correct answer.
Answer:
x=21.1
Step-by-step explanation:
m1 + m2 = 180
(4x-11)+(6x-20)=180
10x-31=180
x=21.1
The new balance is a credit of $ 48.78.
Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:
- Finance charge + new purchases + previous balance - payments = X
- 238.75 x 1.01875 + 7.99 - 300 = X
- 243.22 + 7.99 - 300 = X
- 251.21 - 300 = X
- -48.78 = X
Therefore, the new balance is a credit of $ 48.78.
Learn more about maths in brainly.com/question/3554632
Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
