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____ [38]
3 years ago
13

Pls, look at picture for the question.

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0

point D,C,A...... ......

NARA [144]3 years ago
6 0
Answer: A, C, and D
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I really am confused on how to write a proof.
kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

\begin{gathered} AB=CD \\ BC=AD \end{gathered}

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

\begin{gathered} AE=CE \\ BE=DE \end{gathered}

Hence Proved.

8 0
1 year ago
A plane flying horizontally at an altitude of 3 mi and a speed of 440 mi/h passes directly over a radar station. find the rate a
Amiraneli [1.4K]
Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
  sin(α) = 3/4
and
  cos(α) = √(1 - (3/4)²) = (√7)/4

The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
  (440 mph)×(√7)/4 ≈ 291 mph
8 0
3 years ago
Fred Johnson total insurance premium is 1,200. His employer pays 60% of the total premium. How much does Fred pay?
Gnesinka [82]
We can set up a proportion to find this

60      x
---  = ----
100   1200

then we cross multiply and divide to solve

60 times 1200 is 72000 divided by 100 is 720

now we know his employer pays 720 out of 1200

we subtract to find out how much he pays

1200-720 is 480

fred pays 480
8 0
3 years ago
(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost
xeze [42]

Answer:

f(x)= $70 - $1.5*x

Step-by-step explanation:

You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:

$5 + $15= $20

Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:

$1.5*x

So the money spent after x rides can be expressed as:

$20 + $1.5*x

Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:

$90 - ($20 + $1.5*x)

$90 -$20 -$1.5*x

$70 - $1.5*x

By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:

<u><em>f(x)= $70 - $1.5*x</em></u>

5 0
3 years ago
Every dog Aaron has had as a pet has hated cats. Aaron now believes that all dogs hate cats. This is an example of
mrs_skeptik [129]
B. Inductive reasoning
7 0
3 years ago
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