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
lions [1.4K]
3 years ago
15

Find the measures of the angles of an isosceles triangle with a vertex angle of 42 degrees

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer:

69°, 69°, and 42°

Step-by-step explanation:

Isosceles triangles have three angles -- one vertex angle and two base angles.

The <u>base angles have the same measure</u> and the vertex angle has a different measure.

<u>Remember all triangles' interior angles sum to 180°.</u>

If the vertex angle is 42°, then the two base angles combined are:

180° - 42° = 138°

Since the base angles are the same, <u>each base angle is:</u>

138° ÷ 2 = 69°

Therefore the angles in the triangle measure 69°, 69°, and 42°.

You might be interested in
On an interval of [0, 2π), can the sine and cosine values of a radian measure ever be equal? If so, enter the radian measure(s)
Lisa [10]

Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

6 0
3 years ago
Solve the inequality. q/3 &lt; 11
castortr0y [4]

Answer:

q < 33

Step-by-step explanation:

<h3>\frac{q}{3}  < 11</h3>

q < 11 \times 3

q < 33

<h3>Hope it is helpful....</h3>
8 0
2 years ago
Read 2 more answers
Sympilfy 31/-8...........
ArbitrLikvidat [17]

Answer:

The fraction -31/8 cannot be simplified.

8 0
3 years ago
Read 2 more answers
16^1/4 = <br> a. 1/2<br> b. 2<br> c. 4
stiv31 [10]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can't figure out how to set up and check to see if right. 8/11(n-10)=64
strojnjashka [21]

Answer:

Step-by-step explanation:

\frac{8}{11}(n-10)=64\\\\\frac{8(x-10)}{11}=64\\ 8(x-10) = 64(11)\\8(x-10) = 704\\8x-80 = 704\\8x= 704+80\\8x=784\\\\\frac{8x}{8}=\frac{784}{8}  \\x=98

7 0
3 years ago
Other questions:
  • What is the whole number equal to 18/3
    8·2 answers
  • What error did Heather make?
    11·1 answer
  • What is the answer or how do I solve this
    7·2 answers
  • Mario and Luigi were selling coupon books for the Video game club fundraiser. Apparently, Mario is a much better salesperson, be
    6·1 answer
  • 2 Points<br> What can you say about the end behavior of the function f(x)=-4x + 6x2 - 52?
    6·1 answer
  • I NEED HELP PLEASE! :)
    15·1 answer
  • Which of the triangles shown are scalene triangles?
    14·2 answers
  • What is the answer to 56 x 2 12 =
    10·2 answers
  • It is given
    9·1 answer
  • Eighty percent of a roof, or 2800 square feet of the roof, has been re-shingled.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!