Answer:
127 degrees
Step-by-step explanation:
1. Find the angle next to "x" using the fact that all the angles in a triangle add to 180 degrees.
180-30-97 = 53
2. Angle X and the angle that is 53 degrees are supplementary meaning they will add to 180 degrees since it's on a line
180-53=57
Hope this helped :)
Answer:
The equation for a is 
The altitute is 101,428.57 feet
Step-by-step explanation:
You know that the relationship between ground temperature and atmospheric temperature can be described by the formula
t = -0.0035a +g
where:
- t is the atmospheric temperature in degrees Fahrenheit
- a is the altitude, in feet, at which the atmospheric temperature is measured
- g is the ground temperature in degrees Fahrenheit.
Solving the equation for a:
-0.0035a +g=t
-0.0035a= t - g


<u><em>The equation for a is </em></u>
<u><em></em></u>
If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F
Replacing in the equation for a you get:


a= 101,428.57
<u><em>The altitute is 101,428.57 feet</em></u>
Answer:

Step-by-step explanation:-
To find the midpoint, the equation we use is:-

x1 = 10
x2 = 5
y1 = 7
y2 = 4
Substituting the values in the equation, we get:-

Coordinates of the midpoint---> 
[ Answer ]

[ Explanation ]
- Simplify: 5(x + 3)(x + 2) - 3(x2 + 2x + 1)
--------------------------------------
- Add Similar Elements: 2x + 2x = 4x
5(x + 3)(x + 2) - 3(4x + 1)
- Expand: 5(x + 3)(x + 2) - 3(4x + 1):
+ 25x + 30
+ 25x + 30 - 3(4x + 1)
- Expand: - 3(4x + 1): -12x - 3
+ 25x + 30 - 12x - 3
- Simplify:
+ 25x + 30 - 12x - 3:
+ 13x + 27
=
+ 13x + 27
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