In circle N with the measure of arc MP= 98°, find mZMNP.
P
M
N

Answer:

The two column proof is presented as follows;

Statement                   [tex]{}[/tex]                  Reason

1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex]   1. Given

and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]

2. ∠SRU = ∠PMN = 90°   [tex]{}[/tex]                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            [tex]{}[/tex]                 2. Definition of congruency

4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]                4. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                               congruent

5. ∠SNR ≅ ∠PUM             [tex]{}[/tex]               5. Alternate interior angles are congruent

6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]               6. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                              congruent

7. ΔPMU ≅ ΔSRN                 [tex]{}[/tex]           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex])  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

Answer:

the total amount collected is 2,665

Step-by-step explanation:

The computation of the total amount collected is shown below:

= price × number of tickets sold × price + number of tickets sold × price + price

= 14 × 15 × 10 + 56 × 10 + 5

= 2,100 + 560 + 5

= 2,665

Hence, the total amount collected is 2,665

Answer:

D

Step-by-step explanation:

[tex] \sin(60) = \frac{6 \sqrt{3} }{x} \\ x = \frac{6 \sqrt{3} }{ \sin(60) } = 12 \\ \tan(60) = \frac{6 \sqrt{3} }{y} \\ y = \frac{6 \sqrt{3} }{ \tan(60) } = 6[/tex]

Given:

Selling price of bird feeder = 40 each

Discount percent = 7%

To find:

The final price of the bird feeder after the discount.

Solution:

We know that,

Final price = Selling price - Discount

                 = [tex]40-\dfrac{7}{100}40[/tex]

                 = [tex]40-2.8[/tex]

                 = [tex]37.2[/tex]

Therefore, the final price of the bird feeder after the discount is 37.2 each.

Answer:

Answer: No it isn't an equation. Not yet at least.

Step-by-step explanation:

Yes it might well do, but if it does, it needs something on the other side of wherever you put the equal sign.

6x - 7 is all you have so far and you have no idea what comes next. As it is, what you wrote is an algebraic expression.

the answer is....

eat my ahhh oStep-by-step explanation:

Answer:

0

Step-by-step explanation:

Given equations is

x+2y=8,5x+10y=c

The equations a

1

x+b

1

y=c

1

and a

2

x+b

2

y=c

2

will have uique solutions if

a

2

a

1



=

b

2

b

1



=

c

2

c

1

but from equations,

a

2

a

1

=

5

1

,

b

2

b

1

=

10

2

,

c

2

c

1

=

c

8

∴

a

2

a

1

=

b

2

b

1

The given equations does not have unique solution, so the given statement is false, The correct answer is 0

can i get the crown please ↑ ↑ ↑ ↑ ↑ ↑

they have pictures thats

the answer

Answer:

40 unit^2.

Step-by-step explanation:

Area = 1/2 * base * altitude

= 1/2 * 8 * 10

= 40 unit^2.

Answer:

A

Step-by-step explanation:

Im not sure if this is right, but I think that is the answer

If we solve each of the expression then (n-p) will have the lowest value.

Expression is like an equation and it is not only in the equal to type but only without equal to type. (n-p), np are the expressions.

We have the following expression and we have to first solve if n is a negative number and p is a positive number.

Let n=-1 and p=2

So, n-p=-1-2=-3

[tex]n^{2} p[/tex]=2

[tex](np)^{2}[/tex]=4

p-2n=0

[tex](n-p)^{2}[/tex]=9

Hence the lowest value is of n-p which is -3.

Learn more about expressions at https://brainly.com/question/723406

#SPJ2

Answer:

Step-by-step explanation:

2 is a whole number and in 2/5 5 is the whole.  so 2/5 is like saying you need 5 cups but there is already 2 there :)

Answer:

5x

jjhjjjjjjjkkknjhhhb. hgghjjhvfgh

Answer:

Step-by-step explanation:

Two integers whose sum is 14 and the product is 33 are

11 and 3 .

sum = 11 + 3 = 14

product = 11 * 3 = 33

Answer:

answer is zero in the following

Answer:

5,2,1,5

Step-by-step explanation:

Input the given domain to the equation

The question is incomplete. Here is the complete question

Ahmad and Alicia share some sweets in the ratio2:3 Ahmad gets 14 sweets how many sweets dod Alicia gets

Answer:

21

Step-by-step explanation:

The ratio of sweets shared between Ahmad and Alicia is 2:3

Ahmad gets 14 sweets

2x = 14

x= 14/2

x= 7

7× 3

= 21

Hence Alicia gets 21 sweets

Answer:

The first box in the girl row is 18, the second one in the boy row is 8, and the bottom one is also 18.

Step-by-step explanation:

To get 81 to 9, you have to divide by 9, which means you have to do the same to 72. You get the ration 9 to 8, 9 being girls and 8 being guys. Then to get from 8 guys to 16, you have to multiply by 2, which means you do the same to 9 and get the answer of 18 girls. Hope this helps :)

Answer:

The number is 13 /24

Step-by-step explanation:

Let the number = x

x - (- 11/12) = 3x - 1/6

x + 11/12 = 3x - 1/6

Collect like terms ;

x - 3x = - 1/6 - 11/12

-2x = (-2 - 11) / 12

-2x = - 13 / 12

-2x(12) = - 13

-24x = - 13

x = 13 / 24

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distribute:

14w + 14y - 28

good luck, hope this helps :)

Answer:

14w + 14y - 28

Step-by-step explanation:

Distribute :)

Answer:

yes

Step-by-step explanation:

15 = 5(3)

15 = 15

Answer:

Yes

Step-by-step explanation:

15 = 5(3)

15 = 15

Answer:

6

Half

50%

That's the answer

Answer:

4:5

...................

Answer: 4, 8, 7, 9, 0, 3, 4, 1, 6, 27

Step-by-step explanation:

Answer:

c. 198 square feet

Step-by-step explanation:

Based on the picture I'm thinking the length of each line segment is 3ft, so each 'tile' on the surface of the figure is 9sqft.

Looking at the figure from the front and back you would see 4 tiles from each direction, same from the top and bottom (so far we have front + back + top + bottom = 4 + 4 + 4 + 4 = 16 tiles)

Looking directly from either side you would see 3 tiles each way, for 6 more tiles total, so the total number of tiles covering the figure is 16 + 6 = 22 tiles

Each tile is 9sqft, so total area is 22(9) = 198 sqft

Answer:

A scare factor is a shape that has to do with the measures.

Step-by-step explanation:

Answer:

x = -72

Step-by-step explanation:

Let the number be x.

The quotient of number and -6 is written as :

[tex]\dfrac{x}{-6}[/tex]

Now the quotient is increased by 2 i.e.

[tex]\dfrac{x}{-6}+2=14[/tex]

Now we can solve it as follows :

Subtract 14 from both sides,

[tex]\dfrac{x}{-6}+2-14=14-14\\\\\dfrac{x}{-6}-12=0\\\\\dfrac{x}{-6}=12\\\\x=-72[/tex]

So, the value of x is equal to -72.