The angles of ∠EFG and ∠GFH are 71° and 109°
<h3>What are linear pair angles?</h3>
Linear pair of angles are formed when two lines intersect each other at a single point.
In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Linear pair angles are supplementary. This means the sum of a linear pair angles is 180 degrees.
Therefore,
∠EFG + ∠GFH = 180
Therefore,
∠EFG = 4n + 15
∠GFH = 5n + 39
hence,
4n + 15 + 5n + 39 = 180
9n + 54 = 180
9n = 180 - 54
9n = 126
n = 126 / 9
n = 14
Hence,
∠EFG = 4n + 15 = 4(14) + 15 = 71°
∠GFH = 5n + 39 = 5(14) + 39 = 109°
learn more on linear pair angles here: brainly.com/question/28264317
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Start by representing the lengths of the three sides of your triangle:
first side: x-4 (inches)
second side: x (inches)
third side: (x-4) + 3 (inches)
Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):
x-4 + x + x-4 -3 = 15
3x-11=15
3x=26
x=26/3
Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).
Answer:
6
Step-by-step explanation:
6*8=48
-2*21= -42
48+ -42 = 6
∠ABC is an inscribed angle.
In a circle, the measure of an inscribed angle is half the measure of the intercepted arc. m∠ABC = 48° ⇒
measure of arc AC = 2*m∠ABC = 2 * 48 = 96°.
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
