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
Hoochie [10]
3 years ago
7

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:

The approximate difference between m∠C and m∠A is 45° to the nearest degree

Step-by-step explanation:

* Lets talk about the right triangle

- It has one right angle and two acute angles

- The side opposite the the right angle is called hypotenuse

- The other sides are called the legs of the right angle

- In ΔABC

∵ AC is the hypotenuse

∴ ∠B is the right angle

∴ AB and BC are the legs of the right angle

∴ Angles A and C are the acute angles

∵ m∠B = 90°

- The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠C = 180° - 90° = 90°

- We will use trigonometry to find the measures of angles A and C

- sin A is the ratio between the opposite side to angle ∠A and the

  hypotenuse

∵ BC is the opposite side of angle A

∴ sin A = BC/AC

∵ BC = 5 cm

∵ AC = 13 cm

∴ sin A = 5/13

- Lets find m∠∠A by using sin ^-1

∴ m∠A = sin^{-1}\frac{5}{13}=22.62

- Lets use the rule of the sum of angles A and C to find the measure

 of the angle C

∵ m∠A + m∠C = 90°

∴ 22.62° + m∠C = 90 ⇒ subtract 22.62 from both sides

∴ m∠C = 67.38°

- Lets find the difference between m∠C and m∠A

∴ The approximate difference between m∠C and m∠A is:

  67.38° - 22.62° = 44.78° ≅ 45° to the nearest degree

You might be interested in
Please help<br><br> Solve for x and y<br> 60 points!!!!
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

(1)

x + 20 and 45 are vertically opposite angles and are congruent, so

x + 20 = 45 ( subtract 20 from both sides )

x = 25

Similarly 5y and 135 are vertically opposite angles and are congruent

5y = 135 ( divide both sides by 5 )

y = 27

(2)

x + 30 and 70 are vertically opposite angles and are congruent, then

x + 30 = 70 ( subtract 30 from both sides )

x = 40

Similarly y + 50 and 110 are vertically opposite and congruent , so

x + 50 = 110 ( subtract 50 from both sides )

x = 60

6 0
2 years ago
Read 2 more answers
The diameter of a circle is 6 cm. Find its area to the nearest tenth.
Kruka [31]

Answer:

28.27cm²

Step-by-step explanation:

formula:

A=πr²

d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

hope this helped!

8 0
3 years ago
Read 2 more answers
PLzzzzzzz helppppppppp!!!
fomenos
5. y = -3 x - 8

6. y = - 1/2 x + 1
7 0
2 years ago
Sean read 15 of a book in 112 hours.
makvit [3.9K]
Sean read 15 of a book in = 112 hours, 
so, 1 of a book in = 112/15

Now, 12 of a book would be: 112/15 * 12 = 112/5 * 4 = 89.6

89.6 = 89 6/10 = 89 3/5

In short, Your Answer would be 89 3/5 hours

Hope this helps!
8 0
4 years ago
What is the equation of a line with a slope of -2 and passes through the point 3,5¿
dalvyx [7]
Y - y₁ = m(x - x₁)
y - 5 = -2(x - 3)
y - 5 = -2(x) + 2(3)
y - 5 = -2x + 6
  + 5          + 5
     y = -2x + 11
3 0
3 years ago
Other questions:
  • What are the answers?
    5·1 answer
  • HELP ASAPPPP!!!!!!!
    9·2 answers
  • The sum of the measures of a regular 25 sided polygon is 4140 degrees. What is the measure of each interior angle?
    9·1 answer
  • Andre went to a sporting goods store that was having a different sale. He bought a baseball glove and 2 packages of socks. The b
    11·1 answer
  • Does anyone play roblo if so friend me and i will tell you my user name :)
    8·1 answer
  • Two sides of a parallelogram are 520 feet and 740 feet. The measure of the angle between these sides is 141°. Find the area of t
    12·1 answer
  • PLEASE ANSWER LIKE ROGHT NOW
    10·1 answer
  • Mac had 2 gallons of ice crram that she brought for $8.99. Upon tripping over a rock, she accidentally spilled. 8 gallons. How m
    15·1 answer
  • Answer ASAP!!!!!!!<br><br> 4(2 + 5h)
    6·2 answers
  • What is the area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!