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Andrew [12]
1 year ago
9

I really am confused on how to write a proof.

Mathematics
1 answer:
kvasek [131]1 year ago
8 0

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.

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Which angle number represents <KHI?​
tatiyna

Answer:

8,9,11

Step-by-step explanation:

A-1

B-2

C-3

D-4

E-5

F-6

G-7

H-8

I-9

J-10

K-11

L-12

M-13

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O-15

4 0
2 years ago
Find the value of x.<br> 101 x +29
iVinArrow [24]

Answer:

x = 50

Step-by-step explanation:

101 + (x + 29) = 180

130 + x = 180

x = 180 - 130

x = 50

4 0
3 years ago
Read 2 more answers
Someone please solve this. no where is an answer to this
serg [7]

Answer:

a=-8/5

Step-by-step explanation:

  (-1/2a-5)=3a+1

To find the opposite of  1/2 a−5, find the opposite of each term.

-1/2a-(-5)= -3a+1

The opposite of −5 is 5.

-1/2a+5=-3a+1

add 3a to both sides

-1/2a+5+3a=1

Combine-1/2and 3a to get 5/2a

5/2a+5=1

Subtract 5 from both side

5/2a=1-5

Subtract 5 from 1 to get −4.

5/2a=-4

Multiply both sides by 2/5 =0.4, the reciprocal of  5/2=2.5.

a=-4x(2/5)

express -4x(2/5)=1.6 as single  fraction.

a= -4x2/5

Multiply −4 and 2 to get −8.

a=-8/5

Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.

a=-8/5

8 0
3 years ago
The deepest ocean depth is 35 , 840 feet, found in the Pacific Ocean's Mariana Trench. The tallest mountain is Mount Everest, wi
statuscvo [17]

Answer:

64868 feet

Step-by-step explanation:

The deepest point as a negative 35,840 feet mark

The tallest point has a positive 29,028 feet mark

<u>The difference between them:</u>

  • 29,028 - (-35,840) = 64,868 feet

<u>Answer is</u> 64,868 feet

7 0
3 years ago
If you divide an inheritance of $45,600.00 among 22 heirs, what will each heir receive?
Juliette [100K]
Assuming the inheritance is spread equally 

$45600/22=
$2072.72727273




8 0
3 years ago
Read 2 more answers
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