A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles? Explain.
Answers
Measures of the interior angles will be found as below.
What are Interior Angles and Exterior Angles of a Triangle?
Interior angles of a triangle is the three angles formed inside the triangle by its sides.
Exterior angles of a triangle is the three angles formed by extending the sides
Given that triangle has an exterior angle with a measure of 120°.
Let a, b and c be the interior angles of the given triangle.
The sum of the exterior angle and the corresponding interior angle is 180°.
Let a be the corresponding interior angle.
a + 120 = 180
a = 180 - 120
a = 60°
One of the interior angles is 60°.
Sum of the interior angles of a triangle is 180°.
Then a + b + c = 180
b + c = 120
If the triangle is equilateral, then all the angles will be 60°.
If it is right angle, angles will be 30° and 60°.
Hence the interior angles can be found as above.
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This is not a possible angle for a triangle because the angles in a triangle always add up to 180 degrees. Also, angles in triangles can’t be more than 180 degrees
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It a grade 9 please help me do this I don’t really understand it at all
A music festival offers one-day and three-day passes. A one day pass costs $100 and a three-day pass costs $250. write an expression for the total ticket sales if (n) one day passes and (t) three day passes are sold.
What is the greatest common factor of 8m, 36m^3 and 12
6. A hotel has 56 guests.35 of the guests are male.(a) Work out 35 out of 56 as a percentage.
Answers
Answer: They will hike exactly 16 miles each day for 4 days.
Step-by-step explanation:
Given: Total distance to hike = 72 miles
They hike 16 miles per day.
Total days they will take to complete the distance =
It will take 4 complete days and a half day to complete the journey.
i.e. They will hike exactly 16 miles each day for 4 days.
Answers
Final answer:
The length of DF in the given triangle, found using the tangent function and the given angle, measurements is approximately 83.9 m.
Explanation:
From the problem, we understand that we have a right triangle, where angle D is 40°, and the side DE opposite this angle measures 100 m. Our goal is to find DF. In trigonometry, we use the tangent function to compare the opposite side of an angle to the adjacent side. So, to find the opposite side (DF), we can use the formula for the tangent of an angle, which is tan(angle) = opposite_side / adjacent_side.
Setting this up for our triangle, we have tan(40°) = DF / 100 m. Solving for DF, we multiply both sides by 100 m to get DF = 100 m * tan(40°). Calculating the tangent of 40° and multiplying by 100 gives us approximately 83.9 m.
Therefore, the length of DF is approximately 83.9 m, rounded to the nearest tenth.
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A . 3 sqrt 9
B . 2 sqrt 9
C.3 sqrt 27
D. 2 sqrt 27
Answers
3^(1+1/2)= (3^3)^(1/2)
= 27^(1/2)
so, sqrt 27 is correct answer
A.6 meters
B.10 meters
C.12 meters
D.15 meters
Answers
AB is a hypotenuse and AD is an adjecant.
cos 60° = AD / AB
AB = AD / cos 60°
AB = AD : 1/2
AB = 6 : 1/2 = 12
Answer:
C ) 12 meters
Answers
Answer:
160
Step-by-step explanation:
226
-160
____
66
-64 (4 in the quotient)
____
2
y=2x+5
A.
(0, –3)
B.
(0, 5)
C.
(–3, 5)
D.
no solution
Answers
2x-3=y=2x+5
2x-3=2x+5
minus 2x oth sides
-3=5
false
no solution
(we can see that since slopes are same and y intercepts are differnt, the lines are paralell and therfor never intersect)
D. No solution