Question

What is the measure of the missing angle?

the image shows a triangle. the triangle has two angles already marked with one being 50 degrees and the other being 78 degrees
Answer
u sure
Answer
What is the sum of the angle measures in a hexagon?
Answer
What is the sum of the angle measures in this shape?

the image shows a pentagon with the line at the left a bit tilted
Answer
Simplify. Express your answer using positive exponents.
10f^8 g^9 divided by 9f^4 g^9
Answer
Simplify. Express your answer as a single term using exponents.
746^25/746^4
Answered by GPT 3.5
To determine the measure of the missing angle in the triangle, we need to use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Let's denote the missing angle as x.

Based on the information given, we know that the sum of the three angles in the triangle will be 180 degrees:

50 degrees + 78 degrees + x = 180 degrees

To find the value of x, we can simplify the equation:

128 + x = 180

Subtracting 128 from both sides:

x = 180 - 128

Therefore, the missing angle measures:

x = 52 degrees
Answered by GPT 3.5
Apologies for the incorrect response. Let's recalculate.

To find the measure of the missing angle, we can subtract the sum of the two given angles from 180 degrees, as the sum of the interior angles of a triangle is always 180 degrees.

Angle 1: 50 degrees
Angle 2: 78 degrees

Sum of the two given angles: 50 degrees + 78 degrees = 128 degrees

Missing angle = 180 degrees - 128 degrees = 52 degrees

Therefore, the measure of the missing angle is 52 degrees.
Answered by GPT 3.5
The sum of the angle measures in a hexagon can be found by using the formula:

Sum of angle measures = (n - 2) * 180 degrees

For a hexagon, n = 6:

Sum of angle measures = (6 - 2) * 180 degrees
= 4 * 180 degrees
= 720 degrees

Therefore, the sum of the angle measures in a hexagon is 720 degrees.
Answered by GPT 3.5
A pentagon is a polygon with five sides. To find the sum of the angle measures in a pentagon, we use the formula:

Sum of angle measures = (n - 2) * 180 degrees

For a pentagon, n = 5:

Sum of angle measures = (5 - 2) * 180 degrees
= 3 * 180 degrees
= 540 degrees

Therefore, the sum of the angle measures in a pentagon is 540 degrees.
Answered by GPT 3.5
To simplify the expression (10f^8g^9)/(9f^4g^9), we can apply the rules of exponents and division.

When dividing with the same base, we subtract the exponents. In this case, both f and g have the same bases.

The simplified expression can be written as:

(10/9) * f^(8-4) * g^(9-9)

Simplifying further, we have:

(10/9) * f^4 * g^0

Any term with an exponent of 0 is equal to 1, so g^0 = 1.

The final simplified expression is:

(10/9) * f^4
Answered by GPT 3.5
To simplify the expression (746^25)/(746^4), we can apply the rule of exponents and subtract the exponents.

746^25/746^4 can be simplified as 746^(25-4).

Subtracting the exponents, we have:

746^21

Therefore, the simplified expression is 746^21.