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3 years ago

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

2 answers:

5 0

As isosceles triangle has two congruent sides with a third side
that is the base. 

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

A picture would probably help here: 

A 
. 
/ \ ABC = ACB = 39 degrees 
/ BAC = ??

._______________. 
B C 
base 
ABC is the isosceles triangle. AB is congruent to AC. Angle ABC 
is congruent to angle ACB. These are the base angles. 
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. 
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. 
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. 
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.

musickatia [10]3 years ago

3 0

Answer:

An exterior angle of a triangle equals 180° 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 180° minus the adjacent interior angle.

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it takes a hose 4 minutes to fill a rectangle 9inc long, 11inches wide and 12 inches tall, how long will it take to fill an aqua

FromTheMoon [43]

OK the problem is focusing on VOLUME and TIME.. you can set up this problem like this... (v1/t1) x (v2/t2). first we plug in what we know. the first container was filled in 4 minutes so this is our "T1". However we weren't giving the volume of the first container but we were given its dimensions. the volume formula is LxWxH. so we plug in 9x11x12 to get 1188. this is our "V1". the same concept applies for the volume of the aquarium. we have its dimensions so just plug in. 24x25x33 = 19800 this is our "V2". the thing we are left trying to find is T2. so now you can do some cross multiplying and division. (T1xV2)/V1 or (4x19800)/1188 and you get 66.67min or 1h and 6.67mins. and thats how long it took to fill the aquarium.

4 0

3 years ago

A partir del 1.° de diciembre, un camión de helados visita la calle de Sara cada 3 días y la calle de Ema cada 5 días. ¿Cuáles s

777dan777 [17]

Answer:

Los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

Step-by-step explanation:

Los múltiplos de un número son todos los posibles resultados de multiplicar ese número por todos y cada uno de los números naturales.

Es decir, los múltiplos de un número natural son los números naturales que resultan de multiplicar ese número por otros números naturales.

El conjunto de los múltiplos de un número determinado (salvo el cero) es infinito, pues existen infinitos naturales para multiplicar.

Para determinar cuáles son los primeros 2 días que el camión visita ambas calles el mismo día, debes encontrar los múltiplos de 3 y 5:

múltiplos de 3: 3; 6; 9; 12; 15; 18; 21; 24; 27; 30

múltiplos de 5: 5; 10; 15; 20; 25; 30; 35; 40; 45; 50

Podes observar que los 2 primeros números comunes o que coinciden entre los múltiplos de 3 y 5 son 15 y 30. Esto quiere decir que los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

7 0

2 years ago

I need serious answers ppl keep putting those links

ohaa [14]

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

7 0

3 years ago

How do I find the value of x?? please help

Snowcat [4.5K]

Add the two angles and then subtract from 180* to find the missing angle

So,

145* + 15* = 160*

180* - 160* = 20*

Answer: x = 20*

4 0

2 years ago

Please help its due tonight !!

lyudmila [28]

Answer:

Number 4. is 17.3 degrees and 7. is 30 degrees.

Step-by-step explanation:

4. is 17.3 because 50 degrees subtract 32.7 and the answer is 17.3.

7. I used a protractor.

7 0

3 years ago

Read 2 more answers