P=69 degrees
Q=71 degrees
R=40 degrees
Explanation
All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.
5x+20=180
Subtract 20 from 180
5x=160
Divide 160 by 5
x=40
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Answer:
The answer is 5/36
Step-by-step explanation:
first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.
32/36 - 27/36 = 536
Then you subtract the numerators and that's it
hope I helped :)
Answer:
then daniel has to pay $7630 dollars
Step-by-step explanation:
Answer: 
Step-by-step explanation:
For finding the quotient of the given division,
In the long division method, we will follow the following steps.
Step 1 : Here the divisor is d-2 and dividend is 
Multiply (d-2) by 
and subtract the dividend by the resultant.
We get 
Step 2: Multiply (d-2) by 
and subtract the remaining dividend by the resultant.
We get 
Step 3 : Multiply (d-2) by 
and subtract the remaining dividend by the resultant.
We get 
Since, after getting 7 it is not possible further division,
Hence, Remainder = 7,
Quotient = sum of all expression by that we multiply (d-2) =
