Answer:
-4p
12
Step-by-step explanation:
Answer:
is the expression that represent Markel's bill.
Step-by-step explanation:
We are given the following in the question:
Discount card provides a discount of 7%.
Let c be the cost of Markel's purchases, then,
Discount given to Markel =

Markel's bill =
= Cost price - Discount

is the expression that represent Markel's bill.
Answer:
12.73
Step-by-step explanation:
hdhd
C/D = 2πR / 2R = π
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°