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Ivan
3 years ago
9

Plz help, will mark brainiest solve the proof

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

<u>Statement                                            Reason                                    </u>

MP || NS; RS || PQ; MR ≅ NQ              Given

m∠3 = m∠2                                          Alternate Interior Angle

m∠1 = m∠4                                           Alternate Interior Angle

MQ = MR + RQ                                     Segment Addition Postulate

NR = NQ + RQ                                      Segment Addition Postulate

RQ = RQ                                                Reflexive Property

MR = NQ                                                Definition of ≅

△MQP ≅ △NRS                                    ASA ≅

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Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 poun
ehidna [41]

Lynn mixes 39 pounds of water with 48 pounds of brick dust, so the mixture has a total weight of 39 + 48 = 87 pounds.

13 pounds are spilled during mixing, so she's left with 87 - 13 = 74 pounds to turn into bricks.

7 pounds are needed for 1 brick, so she can make 10 bricks because 7 • 10 = 70 and 7 • 11 = 77, and 70 < 74 < 77.

If she uses the mixture to make 10 bricks, she uses up 70 pounds of it, which leaves 4 pounds to be washed out.

5 0
3 years ago
What is the simplified form of the expression? 2sqrt18 - 5sqrt32
Morgarella [4.7K]

Answer

26√2

Step-by-step explanation:

The trick here lies in recognizing that both 18 and 32 have factors that are perfect squares:  18 = 2*9 and 32 = 2*16.  Therefore, we can write

2sqrt18 as 2√2√9, or 6√2, and 5sqrt32 as 5√2√16, or 20√2.

Then the original expression, in simplest form, is 6√2 + 20√2, or 26√2

7 0
3 years ago
Which of the following equations has only one solution?
Daniel [21]
X^2-6x+9=0 has only one solution
Hope this helps
4 0
3 years ago
Read 2 more answers
PLEASE HELP THE QUESTION IS BELOW!!
irina [24]

Answer:

Step-by-step explanation:

B=3x-2

C=12x+2

D=B=3x-2 (Vertically opposite angles)

A=?

Now; we know, A+B+C+D=360 deg.

=>A=360-(B+C+D)

  =360-(3x-2+12x+2+3x-2)

  =360-(18x-2) ----[1]

B+C=180 deg. (linear pair)

=> 3x-2+12x+2=180

=> 15x=180

=> x=180/15

   =12 ---[2]

subsitute [2] in [1];

=> A= 360-(18x-2)

   = 360-(18*12-2)

   = 360-(116-2)

   = 360-214

   = 146 deg.

   

So, the correct answer is (D).

Hope the answer is useful.  

8 0
3 years ago
Read 2 more answers
2. Find the area and circumference of the circle to the right.<br>16.6 m<br>​
adoni [48]

Answer:

AREA:

A=216.42m^2

CIRCUMFERENCE:

C=52.15m

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

A=\pi r^2

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

C=2\pi r

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

r=\frac{16.6m}{2}=8.3m

Substituting the radius, you get that the area and the circumference are:

AREA:

A=\pi (8.3m)^2=216.42m^2

CIRCUMFERENCE:

 C=2\pi (8.3m)=52.15m

7 0
3 years ago
Read 2 more answers
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