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GenaCL600 [577]
3 years ago
5

Picture below! What is the equation of the line in slope-intercept form? y = __x +__

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

the equation of the line is y = 3/5x + 3

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1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

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3 years ago
Sherman Zimmerman has decided to contribute 8% of his gross pay to his 401K. His employer will match 50% of the first 6% of his
sergiy2304 [10]
.5 x .06=.03
53600 x .03=1608.00
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4 0
3 years ago
Katie can buy four cans of soup for $10. She can buy 18 cans of soup for $30. Kate wants to buy soup for the lowest possible pri
amid [387]
She should buy at the second store due to the fact that you are getting 6 mora for the same price (if you were to buy 30$ worth from the first one)
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3 years ago
Solve for a.<br> ab +c=d<br> a=b+c/d<br> O a = b/(C-d)<br> O a = (d - c)/b
ludmilkaskok [199]

Answer:

Value : c = ad - b

Step-by-step explanation:

Given the equation:  Solve for c;

Multiply both sides by d in we get;

subtract b from both sides we have;

Simplify:

ad - b = c

Therefore, the value of c is, ad -b

4 0
3 years ago
Read 2 more answers
Find the sum<br> -2+(-3) =
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Step-by-step explanation:

In simple terms it is, -2-3= -5

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