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icang [17]
3 years ago
13

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of ea

ch angle.
Please provide a step by step demonstration on how this problem is solved. Thank you kind Stranger(s)
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer: the third angle is 106 degrees.

The base angles are 37 degrees each.

Step-by-step explanation:

In an isosceles triangle, the base angles are equal.

Let x represent the measure of each of the base angles.

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be

(2x + 32) degrees

The sum of the angles inna triangle is 180 degrees. It means that

x + x + 2x + 32 = 180

4x = 180 - 32

4x = 148

x = 37

The third angle is

2x = 32 = (2 × 37) + 32

= 74 + 32 = 106

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Answer:

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Step-by-step explanation:

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2 years ago
What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam
Vitek1552 [10]

Answer:

Look to the explanation

Step-by-step explanation:

* Lets arrange the steps for bisecting angle ABC

- The vertex of angle ABC is B, and its rays are BA and BC

# Step 1:

- Place the compass on point B, and swing an arc that intersects rays

 BA and BC ⇒ 5th

# Step 2:

- Place point D on the intersection of the arc on ray BA and point E on

 the intersection of the arc with ray BC ⇒ 3rd

# Step 3:

- Place the compass on point D, and draw an arc inside the angle ⇒ 6th

# Step 4:

- Keeping the compass the same distance, place the compass on

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# Step 5:

- Place point F on the intersection of the arcs created from points D

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7 0
4 years ago
Read 2 more answers
How do I find the base of a triangle and the remaining side lengths?
Ann [662]
You look at the triangle...

The sides there are four

The base is the bottom

...
8 0
3 years ago
How many sides does a circle have
Irina-Kira [14]
A circle doesnt have a sides so 0
4 0
3 years ago
Read 2 more answers
Please help please thanks
Alina [70]

Answer:

A

Step-by-step explanation:

Newton's third law states that for every force, there is an equal and opposite reaction. For example, if you collide two objects together, all of the forces in the system would cancel out because energy conserved with the opposite and equal reactions.

Between two examples (2 identical billiard balls and 2 different toy cars), the easiest way to demonstrate Newton's third law is using the 2 balls, since they are identical in shape and mass. When pushing the two balls in the exact same way with the SAME force, the net force of the equation is basically 0;

F_f = F_1 + F_2 = ma - ma = 0

Therefore, A is correct.

If you pushed a toy car and a toy truck towards each other using the same force, the outcome would not be completely opposite since F = ma and masses are different. Instead, to have a completely opposite and equal reaction, the resulting direction and forces are different. The lighter car would accelerate more in the opposite direction to compensate for the lighter mass. Therefore, B is wrong because even though they are different sizes, newton's third law still happens in the resulting direction and forces, but are simply harder to explain due to so many differing factors.

C is wrong, because diameter of two objects has no correlation to the net force equations. Even if two objects have the same diameter, they could have different masses, shapes, elasticity, etc.

D is wrong, because it goes against Newton's 3rd law. Newton's 3rd law is a LAW. Meaning, it is ALWAYS true (unless in some distant future it's disproven). In any and every collision, energy is conserved in some way that net forces equal 0; either in friction, gravitational force, or resulting force, the net force is always 0.

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2 years ago
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