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
umka21 [38]
3 years ago
10

In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: Chapter Reference a m∠A

= 20° Answer: m∠CDB = m∠CBD = m∠BCD = m∠CDA = m∠ CAD= m∠ACD =

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Answer:

Given A triangle ABC in which

 ∠C =90°,∠A=20° and CD ⊥ AB.

In Δ ABC

⇒∠A + ∠B +∠C=180° [ Angle sum property of triangle]

⇒20° + ∠B + 90°=180°

⇒∠B+110° =180°

∠B =180° -110°

∠B = 70°

In Δ B DC

∠BDC =90°,∠B =70°,∠BC D=?

∠BDC +,∠B+∠BC D=180°[ angle sum property of triangle]

90° + 70°+∠BC D =180°

∠BC D=180°- 160°

∠BC D = 20°

In Δ AC D

∠A=20°, ∠ADC=90°,∠AC D=?

∠A +  ∠ADC +∠AC D=180° [angle sum property of triangle]

20°+90°+∠AC D=180°

110° +∠AC D=180°

∠AC D=180°-110°

∠AC D=70°

So solution are, ∠AC D=70°,∠ BC D=20°,∠DB C=70°





You might be interested in
Solve -2 = 5p + 3p -8 – 6p
Shalnov [3]

Answer:

P=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2=5p+3p−8−6p

−2=5p+3p+−8+−6p

−2=(5p+3p+−6p)+(−8)(Combine Like Terms)

−2=2p+−8

−2=2p−8

Step 2: Flip the equation.

2p−8=−2

Step 3: Add 8 to both sides.

2p−8+8=−2+8

2p=6

Step 4: Divide both sides by 2.

2p2=62

p=3

3 0
2 years ago
The Monthly Bank pays 3 percent interest, compounded monthly, on their savings accounts. The Daily Bank pays 3 percent interest,
Novosadov [1.4K]

Answer:

The amount that we should deposit in each bank is around $942.

Step-by-step explanation:

Case 1:

A=$1000

n = 12

t = 2

r = 3% or 0.03

p = ?

The compound interest formula is :

A=p(1+\frac{r}{n})^{nt}

Substituting values in the formula;

1000=p(1+\frac{0.03}{12})^{12\times2}

=> 1000=p(1.0025)^{24}

=> 1000=1.06175p

p=\frac{1000}{1.06175}

p = $941.84

Case 2:

A=$1000

n = 365

t = 2

r = 3% or 0.03

p = ?

1000=p(1+\frac{0.03}{365})^{365\times2}

=> 1000=p(1.0000822)^{730}

=> 1000=1.06184p

p=\frac{1000}{1.06184}

p = $941.76

The amount that we should deposit in each bank is around $942.

5 0
2 years ago
Read 2 more answers
Can u guys pls help me on this question and pls explain how u got the answer
Lady_Fox [76]

Answer:

55.75

Step-by-step explanation:

find the area of 1 side using the base and height and divide that answer by 2

5x6=30     30 divided by 2=15

all sides are equal so each side is 15

the base you do the same thing.

base is 5, height is 4.3

4.3 x 5= 21.5

divide it by 2 10.75

side 1=15

side 2= 15

side 3=15

base 1= 10.75

add all together

55.75

8 0
2 years ago
5x-3 and 2x+ 25, find the value of x
andreev551 [17]
If they are equal then,
5x-3=2x+25
3x=22
X=7 +1/3=7.(3)
3 0
2 years ago
Read 2 more answers
Two small fires are spotted by a ranger from a fire tower 60 feet above ground. The angles of depressions re 11.6° and 9.4°. How
Hitman42 [59]
<span>The two fires are about 70 feet from each other. The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be: Calculate the angle. That will be 90° - 11.6° = 78.4° The distance will be tan(78.4) = X/60 60 tan(78.4) = X 60 * 4.871620136 = X 292.2972082 = X And that's how far the 1st fire is from the ranger's station. Now for the 2nd angle = 90° - 9.4° = 80.6° 60 tan(80.6) = X 60 * 6.040510327 = X 362.4306196 = X And the distance between the two fires will be the difference in distance from the tower, so 362.4306196 - 292.2972082 = 70.13341146 Rounding to 2 significant figures gives 70 feet.</span>
4 0
3 years ago
Other questions:
  • Well when you do a problem and it's multiplication and you have to us your math skills and then when you get it wrong don't that
    6·1 answer
  • I need help with 1, 3 and 5 help pls
    14·2 answers
  • You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a la
    5·1 answer
  • please help im having such a hard time :( does this equation have no solution one solution or infinite solutions
    15·2 answers
  • If your ex liked your video does this mean that he could still possibly like me -Jelissa
    14·1 answer
  • Pleaseeeee help!!!!!
    8·1 answer
  • The number of mosquitoes at the beginning of the summer was 4,000. The population of
    8·1 answer
  • What is the length of the hypotenuse of a 45-45-90 triangle if one leg measures 9?
    8·1 answer
  • Find the area of the shaded region.​​
    15·1 answer
  • The monthly rents for five apartments advertised in a newspaper were $650, $650, $800, $1900, and $820. Use the mean, median, an
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!