Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
a) 1/3
b) 12/44
Step-by-step explanation:
To find the answer to a you must simplify the fraction 16/48 which would give you 1/3.
To find the answer to b you must first subtract 16 from 48 and then add 12. You should get 44 so your ratio of passengers who got on the bus at the stop compared to the new total then on the bus would be 12/44.
Unlike terms displays terms which are not the same. x+2y would be the answer.
Answer:
(x - 2)² + (y - 7)² = 26
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
The coordinates of the centre are at the midpoint of the endpoints of the diameter and the radius is the distance from the centre to either of the 2 endpoints
Find the centre using the midpoint formula
centre = [ (- 3 + 7), (8 + 6)] = (2, 7)
to find the radius use the distance formula
r = √(x₂ - x₁)² + (y₂ - y₁)²
with (x₁, y₁ ) = 2, 7) and (x₂, y₂ ) = (7, 6)
r = = =
centre (2, 7 ) and r² = ()² = 26, hence
(x - 2)² + (y - 7)² = 26 ← equation of circle
380 divide by 20
it will take her 19 hours to stamp 380 letters