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
Zanzabum
3 years ago
6

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

You might be interested in
How much heat in kJ is released when nitrogen and hydrogen react as below to form 100.g ammonia heat equals-92.2kj
tresset_1 [31]

100g of ammonia releases 271.18 kJ of heat.

<u>Explanation:</u>

Given:

N₂ reacts with H₂

The reaction is:

2N₂ + 3H₂ → 2NH₃ + 92.2 kJ

According to the balanced reaction:

2 X 17g of ammonia releases 92.2 kJ of heat

34g of ammonia releases 92.2 kJ of heat

100g of ammonia will release = \frac{92.2}{34} X 100 kJ of heat

                                                 = 271.18 kJ

Therefore, 100g of ammonia releases 271.18 kJ of heat.

8 0
3 years ago
Help me please please​
cupoosta [38]

Answer:

  (7, 5)

Step-by-step explanation:

AC is the resultant. Point C is 7 units right and 5 units up from point A. If those are what go in your boxes, the resultant is ...

  \displaystyle\left(\,7\,\above\,5\,\right)

_____

<em>Comment on the question</em>

Vectors can be represented a number of different ways. Components can be given in rectangular or polar form, and the presentation can be made as a row vector, column vector, sum of orthogonal unit vectors, and other ways. We assume this is supposed to be a column vector of the form ...

  \displaystyle\left(x\above y\right)

7 0
3 years ago
Somebody please prove if a triangle with side length of 6,8,10 is a right triangle using the Pythagorean theorem!! Will mark Bra
BabaBlast [244]
Answer:
Pythagorean’s theorem states that if a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the side lengths of the right triangle

Given that we can plug in
a= 6 , b = 8 , c = 10

We get an equation:

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
5 0
3 years ago
One gallon of paint covers 400 square feet of surface area. A typical spherical water tower holds 66,840.28 cubic feet of water.
fredd [130]

Answer:

They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.

Step-by-step explanation:

In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area.  Since they give us the volume, we can use that to solve for the radius using the volume formula:  V = πr³  or 66840.28 = πr³.  Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³.  In order to find 'r', take the cube root of both sides:  ∛15965 = ∛r³  or r ≈ 25.

Now that you know radius = 25, you can use the formula for surface area:  SA = 4πr²  or 4π(25)² ≈ 7850 ft².  Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons:  7850 ÷ 400 ≈ 19.6.  In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.


3 0
3 years ago
HELP!!!!!!!!!! PLEASE!!!!!!!WILL MARK AS BRAINLIEST
Goshia [24]

<t =33 since triangle  RUT is isosceles  (RU = TU)

<r + <u + <t = 180  triangle = 180

33 + <u + 33 = 180

66 + <u = 180

< u =114

<rus = < sut  from the diagram

<rus + <sut = <u

x + x = 114

2x = 114

divide by 2

x = 57

6 0
3 years ago
Read 2 more answers
Other questions:
  • Algebra 2 help please!!!!!
    11·1 answer
  • Make m<br> the subject of<br> the formula<br> r=5m²-n
    7·1 answer
  • (-2,22) write the equation in point slope form. Y-y1=m (X-X1)
    14·1 answer
  • 72.3 + (-39.1)
    12·1 answer
  • What is the greatest common factor of 14 and 21?
    13·1 answer
  • I need help on this please​
    12·1 answer
  • PLEASE HELP ME ASAP!
    5·1 answer
  • Question 4 of 10, Step 1 of 1
    6·1 answer
  • Is the DIAMETER of a circle proportional to its circumference???
    15·1 answer
  • Which equations are true for the values of x, y, and z? Select three options.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!