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Lostsunrise [7]
3 years ago
7

An exterior angle of a triangle equals _______ minus the adjacent interior angle.

Mathematics
2 answers:
insens350 [35]3 years ago
5 0
As isosceles triangle has two congruent sides with a third side 
<span>that is the base. </span>

<span>A base angle of an isosceles triangle is one of the angles formed by </span>
<span>the base and another side. Base angles are equal because of the </span>
<span>definition of an isosceles triangle. </span>

<span>A picture would probably help here: </span>


<span>A </span>
<span>. </span>
<span>/ \ ABC = ACB = 39 degrees </span>
<span>/ BAC = ??</span>

<span>._______________. </span>
<span>B C </span>
<span>base </span>
<span>ABC is the isosceles triangle. AB is congruent to AC. Angle ABC </span>
<span>is congruent to angle ACB. These are the base angles. </span>
<span>Triangle is a convex polygon with three segments joining three non-collinear points. Each of the three segments is called a side, and each of the three non-collinear points is called a vertex. </span>
<span>Triangles can be categorized by the number of congruent sides they have. For instance, a triangle with no congruent sides is a scalene triangle; a triangle with two congruent sides is an isosceles triangle; a triangle with three congruent sides is an equilateral triangle. </span>
<span>Triangles can also be categorized by their angles. For instance, a triangle with three acute interior angles is an acute triangle; a triangle with one obtuse interior angle is an obtuse triangle; a triangle with one right interior angle is a right triangle; a triangle with three congruent interior angles is an equiangular triangle. </span>
<span>One property of a triangle is that the sum of the measures of the three interior angles is always 180 degrees (or pi radians). In addition, the exterior angle of a triangle is the supplement of the adjacent interior angle. The measure of the exterior angle is also the sum of the measures of the two remote interior angles.</span>
musickatia [10]3 years ago
3 0

Answer:

An exterior angle of a triangle equals <u>180°</u> minus the adjacent interior angle.

Step-by-step explanation:

The two angles are said to be adjacent if they have a common vertex and a common side between them.

So, if an angle is exterior to any angle of a triangle, But that particular angle of a triangle is adjacent to the exterior angle. Then, The both angles must lie on the straight line and thus both will form a linear pair.

The measure of the linear pair is always supplementary.

⇒ Exterior angle + Adjacent interior angle = 180°

⇒ Exterior angle = 180° - Adjacent interior angle

Hence, An exterior angle of a triangle equals <u>180°</u> minus the adjacent interior angle.

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Answer: 54:4

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Read 2 more answers
Determine if the graph is a function then state the domain and range.
nignag [31]
<h3><u>Explanation</u></h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

<u>Line</u><u> </u><u>Test</u>

  1. Draw a vertical line. Make sure that a line passes through a graph.
  2. See if a line intercepts a graph more than one point or just only one.

<u>Result</u>

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

<u>Domain</u><u> </u><u>and</u><u> </u><u>Range</u>

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

<u>Determine</u><u> </u><u>Domain</u><u> </u><u>from</u><u> </u><u>Graph</u>

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

<u>Determine</u><u> </u><u>Range</u><u> </u><u>from</u><u> </u><u>Graph</u>

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3><u>Answer</u></h3>

<u>\begin{cases} x \in  \mathbb{R} \\ y \geqslant 0 \end{cases}</u>

<u>Domain</u><u> </u><u>is</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>all</u><u> </u><u>real</u><u> </u><u>numbers</u><u>.</u>

<u>Range</u><u> </u><u>is</u><u> </u><u>greater</u><u> </u><u>or</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>0</u><u>.</u>

8 0
2 years ago
The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi
zhenek [66]

Answer: it will take 7 seconds

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This makes no sense and I​ really need help on t​his lesson.<br> p(c) = ?
ad-work [718]

Answer:

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Step-by-step explanation:

C is a subpath of A,

first P(A) = 0.6 since the line leading to A says .6

the probability of choosing C is 0.3, but first we have to assume A is chosen. The true probability is 0.3 * 0.6 = 0.18

6 0
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