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mart [117]
3 years ago
9

If yo are given PNM = MOP How would you prove that MNPQ is a parallelogram?

Mathematics
1 answer:
Fed [463]3 years ago
4 0

Answer:

  Response 1

Step-by-step explanation:

Response 1 is the only wording that is self-consistent. Response 1 is the appropriate response.

___

Response 2 argues about angles, then concludes sides are congruent. This makes no sense.

Response 3 identifies congruent segments, but they are not opposite sides. The conclusion is unsupported.

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Find the values of x, y, and z. The diagram is not to scale.
Kruka [31]

we know that

The sum of the internal angles in the triangle must be 180 degrees

see the attached figure with letters to better understand the problem

Step 1

<u>Find the measure of the angle x</u>

In the triangle ABC

63\°+36\°+x\°=180\°

solve for x

99\°+x\°=180\°

x\°=180\°-99\°

x=81\°

therefore

<u>the answer Part a)  is</u>

the measure of angle x is 81\°

Step 2

<u>Find the measure of the angle z</u>

we know that

x+z=180\° --------> by supplementary angles

substitute the value of x

81\°+z=180\°

z=180\°-81\°

z=99\°

therefore

<u>the answer Part b)  is</u>

the measure of angle z is 99\°

Step 3

<u>Find the measure of the angle y</u>

In the triangle ACD

13\°+z\°+y\°=180\°

solve for y

13\°+99\°+y\°=180\°

112\°+y\°=180\°

y\°=180\°-112\°

y\°=68\°

therefore

<u>the answer Part c)  is</u>

the measure of angle y is 68\°

5 0
3 years ago
Read 2 more answers
What is the solution to this inequality x-7&gt;8
Veronika [31]

Answer:

Choice a: x>5

Step-by-step explanation:

All you have to do on this one is add the 7 on both sides.

x-7>8\\x>5

So the answer is anything greater than 5.

7 0
2 years ago
What is the solution to the equation?<br><br> 6x-3=3x+12
Alla [95]

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

6x−3−3x=3x+12−3x

3x−3=12

Step 2: Add 3 to both sides.

3x−3+3=12+3

3x=15

Step 3: Divide both sides by 3.

3x/3=15

x=5

8 0
3 years ago
Read 2 more answers
∜64= 4ˣ, what is the value of x?
svlad2 [7]

Answer:

x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z

Step-by-step explanation:

Solve for x:

2 sqrt(2) = 4^x

Hint: | Reverse the equality in 2 sqrt(2) = 4^x in order to isolate x to the left hand side.

2 sqrt(2) = 4^x is equivalent to 4^x = 2 sqrt(2):

4^x = 2 sqrt(2)

Hint: | Eliminate the exponential from the left hand side.

Take the logarithm base 4 of both sides:

Answer:x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z

8 0
3 years ago
The following system of equations is shown below.
olganol [36]

Answer:

(-1,2)

Step-by-step explanation:

point form : (-1,2)

Equation form : x = -1, y= 2

7 0
3 years ago
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