Answer:
Suppose you are in a building at 28 feet above ground level and you take an
escalator down to ground level. On the escalator, your distance above ground level
changes by - 2 feet per second. Write a linear function to describe the distance d
that
you are from ground level over time t in seconds.
Step-by-step explanation:
1562 divided by 35= 45 with a remainder of 32
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
Your answer is c
Hope this helps :)
Answer:
Part A: The temperature must be greater than -40, and lower than 140. -40 < T < 140
Part B: The graph is a number line between -40 and 140, with open circles at -40 and 140. The solutions are temperatures at which the gas will remain liquid.
Part C: No, -49 is less than -40, so the gas would have frozen.
Hoped it helped:)
Mark brainly plz.