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
Ivahew [28]
3 years ago
7

In trapezoid ABCD with legs AB and CD , diagonals BD ∩ AC =M so that BM:MD=1:4. Find AAMD, ACMD, and AACD if the area of AABM=8

in2.

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

Area of triangle AMD is 32 square inches.

Area of triangle CMD is 8 square inches.

Area of triangle ACD is 40 square inches.

Step-by-step explanation:

In trapezoid ABCD with legs AB and CD.

Diagonal BD and AC intersect at M so that BM:MD=1:4

We are given ar(ABM)=8 in²

Ratio of area of two triangle is equal to ratio of their base.

\dfrac{ar(ABM)}{ar(AMD)}=\dfrac{BM}{MD}

\dfrac{8}{ar(AMD)}=\dfrac{1}{4}

ar(AMD)=32\text{ in}^2

Thus, Area of triangle AMD is 32 square inches.

If two triangles lie on same base and same parallel line then their area is equal.

\therefore ar(ABD)=ar(ACD)

ar(ACD)=ar(ACD)=ar(AMD)+ar(ABM)

ar(ACD)=8+32\Rightarrow 40\text{ in}^2

Thus, Area of triangle ACD is 40 square inches.

ar(CMD)=ar(ACD)-ar(AMD)

ar(CMD)=40-32\Rightarrow 8\text{ in}^2

Thus, Area of triangle CMD is 8 square inches.

You might be interested in
ASAP there are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, pu
FrozenT [24]

Answer:

\frac{4}{9}

Step-by-step explanation:

p =  \frac{favorable \: outcomes}{total \: outcomes}  =  \frac{4}{9}

6 0
3 years ago
Read 2 more answers
Angela left for work at 8:30 a.m. She returned to school at 11:30 a.m. How long was Angela at work?
Dimas [21]

Answer:

Angela was at work for 15 hrs.

8 0
3 years ago
Read 2 more answers
POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GRE
iris [78.8K]

Answer:

Step-by-step explanation:The absoulte inequalities will have all real solutions asa solution so A, B, AND C  all apply.

The relations on the domain of the equation are,  C, AND A.

3 0
3 years ago
Mr. Morales owns a warehouse that is 56,000 cubic feet. He wants to build an addition that will increase the size of the warehou
Gennadij [26K]

Answer:

62,160 cubic feet

Step-by-step explanation:

To solve this problem, we can use a percentage formula as shown below:

P(1+r)

<em>P = initial value</em>

<em>r = rate</em>

Now lets plug in the values given in the question:

56,000(1+.11) = 62,160

This means that the volume of the warehouse after the addition will be 62,160 cubic feet.

5 0
3 years ago
Gabriela bought a new pair of glasses at the store when they were having a 30% off sale. If the regular price of the pair of gla
Vilka [71]
If the sale was for 30% off, then she paid 70% of the regular price

100%-30%=70% or 0.70

72*0.70=$50.40

Answer= $50.40
8 0
3 years ago
Read 2 more answers
Other questions:
  • James regular r pay is 12 dollars an hour plus time and a half how much is his pay for 40hrs regular time and to hours overtime
    9·1 answer
  • 2x+3y=0 and x+2y=-1 <br> Solve by substitution
    8·1 answer
  • PLEASE HELP ITS A GRADE!!!!! :)
    9·1 answer
  • Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra
    12·1 answer
  • Can anyone help me with this problem
    6·1 answer
  • HOW ARE TRIANGLE PROOFS USED TO PROVE OTHER PROPERTIES OF GEOMETRIC FIGURES? EXPLAIN
    7·1 answer
  • PLEASE HELP!!!!! LOOK AT PHOTO
    9·2 answers
  • Emily collects and trades rocks. She starts with 8x2 rocks, for some number x, and then buys 7x4. She then trades away x5, then
    10·1 answer
  • Someone help me plz:
    14·1 answer
  • A company offers each of its 80 workers either a desktop computer that costs $900 or a laptop that costs $1550. Write and simpli
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!