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natima [27]
2 years ago
12

Supply the missing reasons to complete the proof.

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

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HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
Mariana [72]
Solve the following system by Elimination:
{7 x + 3 y = 22 | (equation 1)
{4 y = 20 | (equation 2)

Divide equation 2 by 4:
{7 x + 3 y = 22 | (equation 1)
{0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:
{7 x+0 y = 7 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 7:
{x+0 y = 1 | (equation 1)
{0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = 1, y = 5

_____________________________________________________

Solve the following system:
{y - 2 x = 10 | (equation 1)
{4 x - y = -14 | (equation 2)

Swap equation 1 with equation 2:
{4 x - y = -14 | (equation 1)
{-(2 x) + y = 10 | (equation 2)

Add 1/2 × (equation 1) to equation 2:
{4 x - y = -14 | (equation 1)
{0 x+y/2 = 3 | (equation 2)

Multiply equation 2 by 2:
{4 x - y = -14 | (equation 1)
{0 x+y = 6 | (equation 2)

Add equation 2 to equation 1:
{4 x+0 y = -8 | (equation 1)
{0 x+y = 6 | (equation 2)

Divide equation 1 by 4:
{x+0 y = -2 | (equation 1)
{0 x+y = 6 | (equation 2)

Collect results:

Answer:  {x = -2, y = 6
4 0
3 years ago
Solve the variables with reasons​
hammer [34]
This shape is a quadrilateral.
All angles in a quadrilateral add up to 360 degrees.

There is two right angles- right angles measure 90 degrees.
90 + 90 = 180
You are given the the angle 56 so add that to 180.
56 + 180 = 236

To find x, we subtract 236 from 360.
360 - 236 = 124

x = 124 degrees
5 0
3 years ago
3) In the Pacific Ocean, a seal was swimming 110 feet below sea level. As he was searching for food, he dove
Reptile [31]

Answer:

158 feet below sea level

Step-by-step explanation:

110 + 48 = 158

So 158 was the seal's final depth below sea level

8 0
3 years ago
A tree was 9 feet tall. One year later, the tree was 16 feet tall. Write an equation and find how many feet f the tree grew
ArbitrLikvidat [17]

Answer:

9 + f = 16

Step-by-step explanation:

So just say 9 + f = 16 since the tree grew to 16, and the f is the amount.

8 0
3 years ago
Read 2 more answers
Find (w² + 1)(w³ - w + 1).
Citrus2011 [14]

Answer:

Product is w^5+w^2-w+1

Step-by-step explanation:

Given: (w^2+1)(w^3-w+1)

Simplify the product of polynomial.

It is product of binomial with trinomial.

\Rightarrow (w^2+1)(w^3-w+1)

\Rightarrow w^2(w^3-w+1)+1(w^3-w+1)        (Distributive property)

\Rightarrow w^2\cdot w^3-w^2\cdot w+w^2\cdot 1+w^3-w+1  (Distributive property)

\Rightarrow w^5-w^3+w^2+w^3-w+1             (combine like term)

\Rightarrow w^5+w^2-w+1

Product is w^5+w^2-w+1

7 0
4 years ago
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