Step-by-step explanation:
the sum of all angles in a triangle is ALWAYS 180°.
and by using the word "congruent" : for angles that only means they are equally large.
we know the third angle.
so,
180 = P + Q + R = 2×P + 28.45
(because P = Q)
2×P = 151.55
P = Q = 151.55 / 2 = 75.775°
Answer:
Step-by-step explanation:
Interesting bit of trivia if true.
The central Pacific Railway had a 24 month head start. Each month let them go 8.75 miles, so the total distance the rail went was 24*8;75 = 210 miles. They built this before the Union Pacific had done 1 mile of track.
So now when the Union Pacific started building, there remained 1590 - 210 miles of track to be laid. 1590 - 210 = 1380 miles of track.
The rest is pretty straight forward. Between the two rail companies, they built 28.75 miles of track a month.
Therefore the number of months = 1380/28.75 = 48 months.
The project took (in total) 48 + 24 = 72 months to build.
The Union Pacific built 48 * 20 = 960 miles of rail
The Central Pacific built 72 * 8.75 = 630 miles of rail
Total distance = 1590 miles which is the stated total.
Answers
Total Time = 72 months.
Union Pacific distance built = 960 miles
Central Pacific distance built = 630 miles
Y = m + 3
you have to count the ones in between and add the 3 to fill in for b
Where is the rest of the question?
Answer:
m + c = - 4.4
Step-by-step explanation:
Line 1 is given by the equation 5x + 8y = -9, ⇒ ........(1) {In slope-intercept form}
If line 2 is perpendicular to the line 1 then the equation of line 2 will be
........ (2), where c is a constant. {Since the product of the slopes of two perpendicular straight line is -1}
Now, the line 2 passes through the point (10,10).
So, from equation (2), we get,
Therefore, the equation of line 2 will be
This equation is in y = mx + c form where and c = - 6
Hence, m + c = 1.6 - 6 = - 4.4 (Answer)