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
Bingel [31]
2 years ago
8

Find m∠A. Put the answer below. m∠A =

Mathematics
1 answer:
Ulleksa [173]2 years ago
7 0

<u>Angle A = 30 degrees</u>

1) Use the Pythagorean Theorem: a^{2} + b^{2} = c^{2}

--> 12^{2} + (4\sqrt{3})^{2} = AC^{2}

--> 144 + 48 = AC^{2}

--> 192 = AC^{2}

--> AC = 8\sqrt{3}

2) Figuring out the type of triangle it is

There's a formula on the sides of a certain type of triangle:

--> Hypotenuse: a, Short Leg: a/2, Longer Leg: a/2 * \sqrt{3}

That type of triangle perfectly matches the sides of our triangle: 12, 4\sqrt{3}, 8\sqrt{3}

Therefore, this triangle is a 30, 60, 90 triangle.

3) Finding the measure of angle A

--> Angle B is given: 90 degrees

--> The angle that's between Sides AB and AC is 30 degrees

Finally, we can conclude that Angle A is 30 degrees

You might be interested in
What is the length of the diagonal?
Anon25 [30]
The answer is 16\sqrt{8} i hope this answer helps you!
4 0
3 years ago
Read 2 more answers
I need help thanks in advance
sergij07 [2.7K]

Answer:

Step-by-step explanation:

The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):

angle TSU = 1/2(90 + 80) and

angle TSU = 1/2(170) and

angle TSU = 85

6 0
3 years ago
ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?
Marrrta [24]
EF = 50 in.

In similar figures, corresponding sides are proportional.  We use the similarity statement ABCD~EFGH to write a proportion:

\frac{AB}{EF}=\frac{AD}{EH}&#10;\\&#10;\\ \frac{30}{x}=\frac{45}{75}

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50
3 0
3 years ago
The vertices of a rectangle are R(-5, -5), S(-1, -5), T(-1, 1), and U(-5, 1). a translation, R to the point (-4,2). Find the tra
Nikitich [7]
Translation:
R ( - 5, - 5 ) → R` ( - 4, 2 )
- 4  = - 5 + 1,   2 = - 5 + 7;
The translation rule:
( x , y ) → ( x + 1, y + 7 )
Coordinates of the point U are (- 5, 1 )
- 5 + 1 = - 4,  1 + 7 = 8
The image of U is :
U` ( - 4, 8 )
4 0
3 years ago
This better? If u seen my last one
ololo11 [35]
Ya I like the first one better than the second one but both are good
4 0
3 years ago
Read 2 more answers
Other questions:
  • -2 2/3, -5 1/3, -10 2/3, -21 1/3, -42 2/3. which formula can be used to describe the sequence?
    6·1 answer
  • Orrin had $541.06 in his checking account, and a check that he wrote to his landlord for $560.00 was just deposit?
    9·2 answers
  • What is 2 divided by 236
    15·2 answers
  • First and Second Street are parallel to each other.
    8·1 answer
  • A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant b
    9·1 answer
  • .......................
    15·1 answer
  • Bill mixes candy costing 45cents per pound with candy costing 65cents a pound. A 7-pound box of the mix costs $3.65. How much of
    11·1 answer
  • -16x-10&gt;14-10x<br> hi can u please help me with this
    7·2 answers
  • 2. The Larsons use the average of six months as their budget starting
    12·1 answer
  • X+6/x+3 X x-6/x-3<br><br> A. 2x-12/x-3<br> B. x-12/x-6<br> C. x^2-12/x^2-6<br> D. x^2-36/x^2-9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!