Answer:
C) 75 + 50x = 25 + 70x
Step-by-step explanation:
ABC Tech:
$50 an hour. So,for x hours= 50 * x = 50x
Service charge = 75 + 50x
Tech Squad:
$70 an hour. So,for x hours= 70 * x = 70x
Service charge = 25 + 70x
C) 75 + 50x = 25 + 70x
50x - 70x = 25 - 75
-20x = -50
x = -50/-20
x =5/2 = 2
hours
All triangles must have angles that add up to the same amount of degrees, so if the two triangles share one exact point, it is assumed that those angles would be the same. Basically just use the fact that the sides are the same and marked by dashes, and the missing line can be proven with the use of the angles that are in between the point that both share.
Answer:
<u>TO FIND :-</u>
- Length of all missing sides.
<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>
<u>SOLUTION :-</u>
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x


≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x


≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11


4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12


≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6


≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x


≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x


≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x


≈ 30.2
Answer:
55 degrees and 125 degrees
Step-by-step explanation:
Supplementary means that they add up to 180.
x + y = 180
Let's let x be the larger angle.
x = 15 + 2y
The above equation comes from the information given, that it's 15 more than twice the smaller angle.
Now let's use substitution.
x + y = 180
(15 + 2y) + y = 180
15 + 3y = 180
3y = 165
y = 55
The smaller angle is 55. Plug this back in to the first equation to get x.
x + y = 180
x + 55 = 180
x = 125
Now that you have both, test them again just to be sure that they fit the given conditions.
Answer: an altitude
Step-by-step explanation: