Answer:
B
Step-by-step explanation:
If the chair is not broken, then the taxes are high.
12/60 students chose science fiction
Approximately x/150 students prefer sf
60x = 1800
x = 30
30/150 students are assumed to prefer sf
30/150 = x/100
150x = 3000
x = 20
20/100 students are likely to prefer sf
Mr. Rodriguez made a reasonable estimate for the approximate percentage of students that prefer science fiction, because if 12/60 is equivalent to 30/150 which refers to the number of students who can be assumed to prefer science Fiction out of the whole school. Considering we need to identify what 30/150 as a percentage is, we can reduce it down to 1/5 to make I easier, then divide 1 by 5 to get .2
.2 as a percentage is 20%, so his inference was indeed reasonable.
(♥ω♥*)Brainliest Please(♥ω♥*)
Answer:
the measure of the obtuse base angle of the trepezoid is 111.
Step-by-step explanation:
An isosceles triangle has one vertex angle and two congruent base angles. Also, we know that the sum of all angles in a triangle must equal 180 degrees. So we can say that:
Vertex Angle + Base Angle + Base Angle = 180.
Vertex Angle + 2 x (Base Angle) = 180.
2 x (Base Angle) = 180 - Vertex Angle
2 x (Base Angle) = 180 - 42
2 x (Base Angle) = 138
Base Angle = 69
Also, we know that angles on one side of a straight line always add to 180 degrees.
So we can say that:
Base Angle + ? = 180
? = 180 - Base Angle
? = 180 - 69
? = 111
So, the measure of the obtuse base angle of the trepezoid is 111.
Step-by-step explanation:
let the eqn be y = mx + b.
m = (7 - 3)/(2 - 1) = 4
sub (1, 3):
3 = 4(1) + b
b = -1
therefore, equation is y = 4x - 1
Topic: coordinate geometry
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Answer:
<em>True</em>
Step-by-step explanation:
<u>Polar Coordinates</u>
One point in the plane can be expressed as its rectangular coordinates (x,y). Sometimes, it's convenient to express the points in the plane in polar coordinates , where r is the radius or the distance from the point to the origin, and is the angle measured from the positive x-direction counterclockwise.
The conversion between rectangular and polar coordinates are
The angle can be computed as the inverse tangent of y/x and it can be negative. It's enough that x and y have opposite signs to make the angle negative. For example, if x=1, y=-1
The angle that complies with the above equation is
But it can also be expressed as
Can the angle be negative? it depends on what is the domain given for . Usually, it's in which case, the angle cannot be negative.
But if the domain was , then our first solution is valid and the angle is negative. We'll choose the most general answer: True