the measures of the angles are:
<h3>
How to find the measures of the angles?</h3>
Two angles are a linear pair if their measures add up to 180°.
Then we will have that:
∠EFG + ∠GFH = 180
Here we know that:
m∠EFG=3n+23
m∠GFH=2n+32
Replacing that we get:
3n + 23 + 2n + 32 = 180
5n + 55 = 180
5n = 180 - 55 = 125
n = 125/5 = 25
Then the measures of the angles are:
m∠EFG=3n+23 = 3*25 +23 = 98°
m∠GFH=2n+32 = 2*25 + 32 = 82°
If you want to learn more about angles:
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Answer:
3.5 cm
Step-by-step explanation:
In the picture attached, circle M is shown.
From the picture, minor arc JH measures 25°.
The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:
50.26 cm / x cm = 360° / 25°
x = 50.26*25/360
x = 3.5 cm
Answer:
Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?
A mixed number is an integer and a fraction that is less than one (remember that x/x = 1.)
To simplify 25/10, calculate how many times 10 goes into 25 by dividing 25 by 10. The answer is 2 with a remainder of 5 (10 x 2 = 20, 25-20 = 5).
The mixed number is 2 and 5/10, which simplifies to 2 1/2.
Least 1.2, 1.26, 1.3 greatest