1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
4 years ago
13

Determine the unknown angle measures of △DEF. Round to the nearest degree. m∠D = ° m∠F = °

Mathematics
2 answers:
Veseljchak [2.6K]4 years ago
8 0
Angle D = 46
Angle F = 44
bearhunter [10]4 years ago
4 0

Answer:

\angle F = 44\°\\\angle D= 46\°

Step-by-step explanation:

The triangle that belongs to this exercise is attached.

As you can observe, the given triangle is a right triangle, that means we need to use trigonometric reasons to find its angles.

We know by definition that the angle E has 90°. So, we can apply the tangent reason to find angle F, as follows

tan  \angle F =\frac{23.5}{24.3}\\ \angle F = tan^{-1}(0.97) \approx 44\°

Remember that the tangent of an angle is defined as the quotient between the opposite leg and the adjacent leg, which in this case are 23.5 and 24.3 respectively.

Now, to find angle D, we just neet to apply the internal angle theorem, which says that every triangle must be three angles that sum 180°, that is

\angle D + \angle E + \angle F = 180\°\\\angle D + 90\° + \angle 44\° = 180\°\\\angle D = 180\° - 134\° = 46\°

Therefore, the answers round to the nearet degree are,

\angle F = 44\°\\\angle D= 46\°

You might be interested in
A definition for the therm of weight
exis [7]
A body's relative mass or the quantity of matter contained by it, giving rise to a downward force; the heaviness of a person or thing.
6 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-5, -6) and (5, 6)?
anyanavicka [17]

Answer:

It would be -5 + -6 = 65

Step-by-step explanation:

Add it up to together by removing the -

8 0
2 years ago
Fern rounded to the nearest ten to estimate 548-132. She subtracted 540-130 and got 410. Is Fern's estimate correct? Explain.
tensa zangetsu [6.8K]
Fern's estimate is not correct because he rounded 548 wrong, it would be rounded to 550 instead since the number 8 is closer to 10. So the correct answer would be 420.
6 0
3 years ago
Question 5 of 20
Dmitry_Shevchenko [17]
I’m going to say B I could be wrong
3 0
3 years ago
Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic, car
Radda [10]

Answer:

FORMULA USED-

NUMBER OF SUBSETS OF A SET WITH n ELEMENTS= 2^n

Here our set is { onions, garlic, carrots, brocoli, shrimp, mushrooms, zucchini, green pepper}

Different variations available for ordering pasta with tomato sauce= 28 = 256 ( As here n= 8)

8 0
3 years ago
Other questions:
  • Evaluate each expression for the given value of the variable 60 over m;m=5
    5·1 answer
  • 130​% of what number is 26
    15·2 answers
  • The centroid of a triangle is at (8, 7). One vertex of the triangle is at (0, 1). What is the midpoint of the side opposite this
    9·1 answer
  • Solve for x.<br> 2x^2+3x-12=x^2+x-9
    5·2 answers
  • Jessica is filling her swimming pool with water. The pool will hold 500 gallons of water,
    10·1 answer
  • I’m confused. Thanks
    12·1 answer
  • Terry had a rope 4.65 meters long. he cut off 0.2 meters. how long was the piece of rope that was left
    8·1 answer
  • Jamie draws a triangle he says two of my three angles are obtuse
    13·1 answer
  • What is 9/41 expressed as a decimal?
    13·2 answers
  • Help plz will give brainliest if correct
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!