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
12

In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.

Mathematics
1 answer:
podryga [215]3 years ago
8 0

Answer:  ∠B = 50°

               ∠BCD = 40°

<u>Step-by-step explanation:</u>

ACB is a right triangle where ∠A = 40° and ∠C = 90°.

Use the Triangle Sum Theorem for ΔABC to find ∠B:

∠A + ∠B + ∠C = 180°

40° + ∠B + 90° = 180°

         ∠B + 130° = 180°

                  ∠B = 50°

BCD is a right triangle where ∠B = 50° and ∠D = 90°.

Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

50° + ∠C + 90° = 180°

         ∠C + 140° = 180°

                  ∠C = 40°

You might be interested in
A newborn baby had about 26,000,000,000 cells. An adult has about 4.94 times 10 to the 13 power cells. How many times as many ce
Tom [10]
2.6 • 10^10 = 26,000,000,000
4.94 • 10^13 = 49,400,000,000,000

49,400,000,000,000/26,000,000,000= 1900

And adult had 1900 times more cells than a newborn. Or if you want to put it in scientific notation it would be 1.9 • 10^3
4 0
3 years ago
2(x-8) + 4x = 6(x - 2) - 4
mrs_skeptik [129]
0=0, all numbers are solutions
5 0
3 years ago
Read 2 more answers
Hi please help :)))))))
lesya [120]

Answer:

there is no difference

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can anyone help me with this please
Gennadij [26K]

Answer:

A

Step-by-step explanation:

the other options are constants, option A is the only option that would just be represented by a whole number

6 0
3 years ago
Read 2 more answers
A triangular prism is shown below. the base of the prism is a right triangle.
Nimfa-mama [501]
The product is 60.

We start out with the information we have.  This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30.  Using the Pythagorean theorem we have

x²+24²=30²
x²+576=900

Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324

Take the square root of each side:
√x²=√324
x=18

We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

720=(1/2*18*24)y
720=216y

Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y

This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
6 0
3 years ago
Other questions:
  • Observers in two lighthouses K and L spot a ship S.
    7·1 answer
  • The graph of the parent function f(x) = x is translated to form g(x) = (x - 7) + 9. The point (0,0) on the graph of
    10·1 answer
  • Use undetermined coefficients to find the particular solution to 7t + 5=y''+y'-4y У, (t) - Preview Get help: Video Points possib
    11·1 answer
  • The length of a poster is 4 feet long how long is the poster in inches
    10·1 answer
  • A fair number cube with faces numbered 1 through 6 was rolled 50 times. The cube landed with the number 2 up 10 times
    11·1 answer
  • What is cos A for this triangle?
    7·1 answer
  • Pls help extra points and mark brainlist
    11·1 answer
  • How long does it take a penguin to walk 40 feet
    15·1 answer
  • What is the arc length of a semicircle with a radius of 14?
    12·1 answer
  • 4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!