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Answer:
<em> 50° </em>
Step-by-step explanation:
x° = 180° - (102° + 28°) =<em> 50°</em>
Answer: see below
Step-by-step explanation:
30 - 60 - 90 triangles have angles in the triangle measuring 30, 60, and 90 degrees. A 30 - 60 - 90 triangle also has special side ratios according to a side's location in the triangle.
The side across from the 30 degree angle is represented by x.
The side across from the 60 degree angle is represented by x
.
The side across from the 90 degree angle is represented by 2x.
45 - 45 - 90 triangles have angles in the triangle measuring 45, 45, and 90 degrees. A 45 - 45 - 90 triangle has special side ratios similar to the 30 - 60 - 90 triangle.
The side across from either of the 45 degree angles is represented by x.
The side across from the 90 degree angle is represented by x
.
These ratios can be used to find missing sides. If you know that a triangle is one of these special triangles and you also know one of its side lengths, you can plug the known length in for x in the proper place.
EX: you have a 30 - 60 - 90 triangle with a side length of 2 across from the 30 degree angle. You then know that the side across from 60 is 2
and the side across from 90 is 4.
Answer:
<em>See the graph with both lines attached</em>
A) From the tables we see the constant change of values in the second column and the initial value is zero.
This represents a proportional relationship for both tables.
B) <u>Revel</u>
- Rate of change is 5 per hour, the equation is:
- y = 5x, where y is cost, x - is the number of hours
<u>Scooters</u>
- Rate of change is 6 per hour, the equation is:
- y = 6x, where y is cost, x - is the number of hours
C) <u>When x = 12</u>,
- y = 5*12 = $60 for Revel
- y = 6*12 = $72 for Scooters
D) <u>The point (4, 24) represents that:</u>
- The cost of 4 hours is $24
E) The second table has confusing titles (days and number of cell phones) but if we assume its same as the first table, then Revel has lower rate as 5 < 6.
Comparing the prices and the graph, Revel has better rate per hour.
Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units