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sasho [114]
3 years ago
12

13. Given: AB//DC, Prove: Triangle ABE is congruent to Triangle DCE please help! I am so far behind on my work right now I will

give the brainliest answer the pic should be able to be seen

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0
2.Alternate Interior angles theorem.
They given angles are alternate and interior when compared to each other, so they are congruent.  
3 Vertical angles theorem.
The two angles are vertical angles and are not congruent. 
4 Angle-Angle Similarity Postulate. 
Because there are two corresponding angles that are congruent they are similar triangles by the angle-anlge similarity postulate.
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WILL GIVE BRAINLIEST<br> Solve for y in terms of w, x, and z.<br> x=zyw<br> y=
Advocard [28]

Answer:

y= x/zw

Step-by-step explanation:

Isolate the variable by dividing each side by the factors that dont contain the variable

x = zyw /zw

y=x/zw

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Find the measure of x.
Scorpion4ik [409]

Answer:

x = 6

Step-by-step explanation:

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0
3 years ago
What is 12 times the square root of 16?
Vesna [10]
The answer to this is 48
5 0
2 years ago
There are three shapes in front of you. The square has a side of 4 meters.
jolli1 [7]

Answer:

Example: A four-sided shape has two adjacent sides with lengths of 4 meters. You can find the area of this square by multiplying its base times its height: 4 × 4 = 16 square meters. Example: A square's diagonals are both equal to 10 centimeters.

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