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
lubasha [3.4K]
2 years ago
5

I need help with this math. Thanks in advance

Mathematics
1 answer:
amid [387]2 years ago
7 0

6A) Using the alternate angles theorem, we know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Therefore, angle EAB is congruent to angle BDC, and angle DCB is congruent to angle AEB. Vertical angles are the angles that are vertically opposite to each other when two lines intersect. This means angles ABE and CBD are congruent.


∠EAB = ∠BCD

∠DCB = ∠AEB

∠ABE = ∠CBD

The triangles are similar.


6B) Because there are no angles to help prove whether the two triangles are similar, we must rely on the side lengths. Lets compare the side lengths using ratios.

Left side = 12/4

Right side = 76/19

Bottom side = 76/19


12/4 : 76/19 : 76/19 = 4 : 4 : 4

The scale difference of the triangles is 4, they are similar.


7) To find the height of the building, we must first find the scale difference of the two triangles. We already know the triangles are similar. Note: m is a unit, not a variable.

Knowing the triangles are similar, all we need to find the scale is one side of each, we will use the bottom.

8m / 0.2m = 40m

The large triangle is 40 times larger than the small one.

40 times the height of the small triangle is equal to the height of the building.

40m * 1m = 40m

The building is 40 meters tall.


I hope you found my explanations helpful! Please feel free to comment on my profile if you have more questions, I will happily help. Have a great Thanksgiving!

You might be interested in
Write an equation from for the amount of money that will be collected if boxes of chocolate bars are sold. Which is the independ
Georgia [21]
The equation would be:
m = 30b  where 'm' represents the amount of money and 'b' represents the number of boxes sold.

m is the dependent variable 
b is the independent variable
4 0
3 years ago
4. The figure represents a ramp. Find the height of the ramp.
IgorLugansk [536]
Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem, a^2+b^2=c^2. Then 15^2+b^2=17^2\implies 225+b^2=289\implies b^2=64\implies b=8, d. 8 m
3 0
3 years ago
Read 2 more answers
4 Pre-Algebra questions PLEASE HELP ME?
Juliette [100K]
What is the math problem?
7 0
3 years ago
Read 2 more answers
What is the probability that a customer ordered a medium given that he or she ordered a hot drink?
levacccp [35]
48/75 = 0,64 and they want a percentage so 64%
3 0
2 years ago
Read 2 more answers
HELP PLEASE!!! 10 PTS!!
allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

\angle ADC\cong \angle ACD

m\angle ADC=m\angle ACD

According to the angle sum property, the sum of interior angles of a triangle is 180°.

m\angle ADC+m\angle ACD+m\angle DAC=180

m\angle ACD+m\angle ACD+44=180

2m\angle ACD=180-44

2m\angle ACD=136

Divide both sides by 2.

m\angle ACD=68

CE bisects ∠ACD.

m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}

m\angle ACE=m\angle DCE=\dfrac{68}{2}

m\angle ACE=m\angle DCE=34

Use angle sum property in triangle CDE,

m\angle CDE+m\angle DCE+m\angle DEC=180

68+34+m\angle DEC=180

68+34+m\angle DEC=180

102+m\angle DEC=180

Subtract 102 from both sides.

m\angle DEC=180-102

m\angle DEC=78

Therefore, the measure of angle DEC is 78°.

6 0
2 years ago
Other questions:
  • Please help ASAP. 15 points.
    7·1 answer
  • What number aa is 25% of 78/78?
    12·1 answer
  • Point a(10,9) and point b(-2,3). What are the coordinates of the point of the way from a to b?
    15·1 answer
  • Please help I don’t know how to write it so I did pictures instead.
    10·1 answer
  • May somebody help me please and thank you
    11·1 answer
  • What is the amount of sales tax owed on a $350 laptop computer if the tax rate is 6%
    6·1 answer
  • What is the answer for 3/5 of 15
    11·1 answer
  • Please help i m gonna give brainlest
    10·1 answer
  • Please help this is due stoday and i really need help
    9·1 answer
  • A red-hot sword was plunged into cold water. This caused the temperature difference between the sword and
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!