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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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What are the zeros of the function f(x) = x^2 + 5x + 5 written in simplest radical form?
Klio2033 [76]

Answer:

2x = -5 +/- root 5 (opt 3)

Step-by-step explanation:

0 = 4f(x)

 = 4(x^2 + 5x + 5)

 = 4x^2 + 20x + 20

 = (2x)^2 + 2*2x+5 + 25 - 5

 = (2x + 5)^2 - (root 5)^2

 = ((2x+5) - 5) ((2x + 5) + 5)

 = (2x + 5 - 5) (2x + 5 - 5)

Therefore, 2x = -5 +/- root 5

Hope u understand.

Please mark as the brainliest

Thank You

7 0
3 years ago
A 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach
NeTakaya

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

7 0
3 years ago
What is the value of (x)?​
atroni [7]

Answer: -6

Step-by-step explanation: 7 + -6 = 1

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6 0
3 years ago
Read 2 more answers
1. Find the surface area of the square pyramid shown below?
Igoryamba

Answer:

1. 40.00 sq units

2. 37.5 sq units

Step-by-step explanation:

1. Given slant height as 3 and the square base side as 4,

-The surface area of a right squared pyramid is calculated by summing the areas of the 4 triangles and the square base:

Area=Area \ Triangles+Base  \ Area\\\\=4(\frac{1}{2}bh)+s^2\\\\=4(0.5\times 4\times 3)+4^2\\\\=24+16\\\\=40

Hence, the area of the square pyramid is 40.00 sq units

2. The surface area of a cube is equivalent to 6 times the side of one face.

-Given the dimension of the sides as 2.5, surface area is obtained as:

A=6s^2\\\\=6(2.5\times2.5)\\\\=37.5

Hence, the surface area of the cube is 37.5 sq units

8 0
2 years ago
Read 2 more answers
Solve by factoring: x2 – 9x + 20 = 0
gayaneshka [121]

Answer:

Answer

Given equation is:

x

2

−9x+20=0

⇒x

2

−5x−4x+20=0

⇒(x−4)(x−5)=0

⇒x=4andx=5

3 0
2 years ago
Read 2 more answers
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