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
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
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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.
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.
What is the sum of the angle measures in a hexagon?
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.
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.
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
the image shows a pentagon with the line at the left a bit tilted
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.
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.
Simplify. Express your answer using positive exponents.
10f^8 g^9 divided by 9f^4 g^9
10f^8 g^9 divided by 9f^4 g^9
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
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
Simplify. Express your answer as a single term using exponents.
746^25/746^4
746^25/746^4
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.
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.
1 answer