Answer:
23
Step-by-step explanation:
we are given that angle NRQ is 78 degrees
we can see from the figure that the sum of the given angles is angle NRQ
so
(8x + 7) + (4x - 1) = 78
12x + 6 = 78
12x = 72
x = 6
Now, we have to find angle PRQ
replacing x with 6 in the equation of angle PRQ
PRQ = 4(6) - 1
PRQ = 23
Answer:
1) 20 degrees. 2)60 degrees. 3)30 degrees
Step-by-step explanation:
For number 1, there are 180 degrees in a triangle. Since we already know all the measures, we can just make an equation.
90+31+3x-1=180
120+3x=180
-120 -120
3x=60
x=20
for number 2, the traingle must be equilateral because they all have the same measure. That's why it's 60 because 60*3=180
Last one:
Same as 1st one. Make an equation: x+3x+2x=180
Combine like terms
6x=180
x=30
Answer:
12
Step-by-step explanation:
multiply 15 and 3.14
then 565.2 divided by 47.1
Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
=
= = ⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
Answer:
1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2) He did not multiply the numerator and denominator by the correct number to equal 1,500.
5) He should have multiplied the numerator and denominator by 75, not 30, because 20 x 75 = 1,500.
Step-by-step explanation: