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Lady bird [3.3K]
4 years ago
14

(Last one)

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
4 0
Adjacent anglesTwo angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.Angle Bisectortwo segments that a triangle's side is divided into by a line that bisects the opposite anglecollinearlying in the same straight line.complementary angleseither of two angles whose sum is 90°congruentTwo line segments are congruent if they have the same lengthlinear pairTwo angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degreesopposite raysopposite rays are two rays that have the same endpoint and extend in opposite directionspolyhedrona solid figure with many plane facessegment bisectorA point, segment, line, or plane that divides a line segment into two equal partssupplementary angleseither of two angles whose sum is 180°vertical angleseach of the pairs of opposite angles made by two intersecting linesConditional statementan if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.Conclusiona judgment or decision reached by reasoningConjecturean opinion or conclusion formed on the basis of incomplete informationConverseOppositeCounterexampleA counterexample is a special kind of example that disproves a statement or propositionHypothesisa supposition or proposed explanation made on the basis of limited evidence as a starting pointPostulate 2.1Through any two points, there is exactly one linePostulate 2.2Through any three points not on the same line, there is exactly one plane
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In which quadrant does the terminal side of the angle 387° lie?
gulaghasi [49]

Answer:

Quadrant I

Step-by-step explanation:

To find in which quadrant an angle is, you have to locate it between 0 and 360.

Since your angle is larger than 360 degrees, we subtract 360 degrees from it.... to get 27 degrees.

27 degrees and 387 degrees lie on the same spot, since they are exactly one turn around from each other.

Now, angles between 0 degrees and 90 degrees are in quadrant I

angles between 90 and 180 degrees are in quadrant II

Angles between 180 and 270 degrees are in quadrant III

Angles between 270 and 360 degrees are in quadrant IV

So, an angle of 27 degrees would land in Quadrant I.... so is 27 + 360x, where x is any integer representing a number of turns.

7 0
3 years ago
Read 2 more answers
What is the domain and range of f(x)= |x+6|
andreev551 [17]

as the function is polynomial domain exist for all real number ie (-infinity to + infinity) but range exist (0 to +infinity ) due to modulus negetive range do not exist

4 0
3 years ago
Read 2 more answers
Tina is playing a computer game. She starts with 100 points, and she loses points based on the following rules: • Each time a pl
Natasha_Volkova [10]

Answer: she must complete 4 levels to have a point fewer than 20

Step-by-step explanation:

Given the following :

Starting point = 100 points

Passing a level = - 8 points

Catching a flower = - 3 points

Suppose Tina catches 6 flowers per level

Number of levels she must complete to have fewer Than 20 points

Total number of points lost per level:

Catching 6 flowers = -(6 × 3)

Passing the level = - 8

= - 18 + - 8 = - 26 points

Number of levels she must complete to have < 20

Let number of levels = y

Starting points - (26 × number of levels) < 20

100 - (26y) < 20

100 - 26y < 20

-26y < 20 - 100

-26y < - 80

y > 80/26

y > 3.07

Hence she must complete 4 levels to have a point fewer than 20

8 0
4 years ago
Read 2 more answers
Which expressions are equivalent to the one below? check all that apply :)
svlad2 [7]


Since 5=15/3

5^x = (15/3)^x = 15^x / 3^3

Choices A and D


4 0
3 years ago
Which graph represents a reflection of f(x) = 6(0.5)x across the x-axis?
yawa3891 [41]

Answer:

  • The graph that represents a reflection of f(x) across the x-axis is the blue line on the picture attached.

Explanation:

The function f(x) is:

  • f(x)=6(0.5)^x

Which is an exponential function with these features:

  • y-intercept: f(0) = 6(0.5)⁰ = 6(1) = 6

  • multiplicative rate of change: 0.5 (the base of the exponential term), which means that it is a decaying function (decreasing)

  • Horizontal asympote: y = 0 (this is the limit of f(x) when x approaches +∞.

The reflection of f(x) across the x-axis is a function g(x) such that g(x) = - f(x).

Thus, the reflection of f(x) across the x-axis is:

  • g(x)=-6(0.5)^x

The features of that function are:

  • Limit when x approaches - ∞: -∞ (thus the function starts in the third quadrant).

  • y-intercerpt: g(0) = -6 (0.5)⁰ = -6(1)= - 6.

  • Horizontal asympote: y = 0 (this is the limit of f(x) when x approaches +∞.

  • Note that the function never touches the x-axis, thus the function increases from -∞, crosses the y-axis at (0, -6) and continous growing approaching the x-axis but never touchs it. So, this is an increasing frunction, that starts at the third quadrant and ends in the fourth quadrant.

With those descriptions, you can sketch the graph, which you can see in the figure attached. There you have the function f(x) (the red increasing line) and its reflection across the x-axis (the blue increasing line).

5 0
3 years ago
Read 2 more answers
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