Given: Circle O with diameter LN and inscribed angle LMN
Prove: Angle L M N is a right angle.

Circle O is shown. Line segment L N is a diameter. Points L, M, N, and K are on the circle. Lines connect each point.

What is the missing reason in step 5?


Statements

Reasons
1. circle O has diameter LN and inscribed angle LMN 1. given
2. Arc L K N is a semicircle 2. diameter Circle divides into 2 semicircles
3. circle O measures 360o 3.
measure of a circle is 360o

4. m Arc L K N = 180o 4. definition of semicircle
5. m∠LMN = 90o 5. ?
6. ∠LMN is a right angle 6. definition of right angle
HL theorem
inscribed angle theorem
diagonals of a rhombus are perpendicular.
formed by a tangent and a chord is half the measure of the intercepted arc.

Answer:

Answer is c hope this helps :)

Step-by-step explanation:

Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81

Answer: less

Step-by-step explanation: 7^2 is 49 and 3^4 is 81....

Answer:

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = [tex]\sqrt{119\\}[/tex]

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

b=(x+7)a=(x=1)=180 then 37

Answer:

FD≈25.94.. rounded = 26

Step-by-step explanation:

FD²=12²+(4x+11)²

FD²=144+16x²+88x+121

FD²=265+16x²+88x

also

FD²=12²+(13x-16)²

FD²=144+169x²-416x+256

FD²=400+169x²-416x

thus

265+16x²+88x = 400+169x²-416x

16x²-169x²+88x+416x+265-400 = 0

-153x²+504x-135 = 0

we will solve this quadratic equation by suing the quadratic formula to find x

x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)

x=(-504±[tex]\sqrt{504^{2}-4(-153)(-135) }[/tex])/2(-153)

x=(-504±[tex]\sqrt{254016-82620 }[/tex])/-306

x=(-504±[tex]\sqrt{171396}[/tex])/-306

x=(-504±414)/-306

x=(-504+414)/-306 and x=(-504-414)/-306

x=-90/-306 and x=-918/-306

x= 5/17 , 3

substituting x by the roots we found

check for 5/17:

4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..

13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..

check for 3:

4x+11 = 4×3+11 = 12+11 = 23

13x-16 = 13×3-16 = 23

thus 3 is the right root

therfore

ED=23 and CD=23

FD²=FE²+ED² or FD²=FC²+CD²

FD²=12²+23²

FD²=144+529

FD²=673

FD=√673

FD≈25.94.. rounded = 26

Answer:

Step-by-step explanation:

ED = CD ...... ( Tangent secant Property)

4x + 11 = 13x - 16

11 + 16 = 13x - 4x

27 = 9x

27÷9 = x

3 = x

so,

ED = 4x + 11 = 4(3) + 11

ED = 23

FE = 12 ...... ( given )

ΔFED = 90° ...... ( tangent property )

so,

FD² = FE² + ED²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = √673

FD = 25.94

FD = 26 (approx )

Answer: (5/9)(v – 1)

Hope this helps!

Answer:

B. $96

Step-by-step explanation:

Amount paid by Sandra for the boots

[tex] = 120 - \frac{20}{100} \times 120 \\ \\ = 120 - 24 \\ \\ = \$ 96[/tex]

Answer:

96 dollars

Step-by-step explanation:

the discount is 20% .this means that she will pay 80%

therefore 120×80\100%=$96

Answer:

Decease in weight by 56.4%

Step-by-step explanation:

From 55 lb to 24 lb,

There is a decrease in the weight from 55 lb to 24 lb.

For the percentage decrease in weight,

Change in weight = 55 - 24

                              = 31 lb

Percentage change in weight = [tex]\frac{\text{Total change}}{\text{Initial value}}\times 100[/tex]

                                                  = [tex]\frac{31}{55}\times 100[/tex]

                                                  = 56.36%

                                                  ≈ 56.4%

Therefore, there is a decease in weight by 56.4%.

Answer:

17

Step-by-step explanation:

10y+7x-29=10y+5x+5

7x-29=5x+5

2x-29=5

2x=34

x=17

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Triangles.

Since there is a linear pair with 40° , the another angle will be 140° ,

also the triangle newly formed is a isosceles one,

hence x = 20°

===> x = 20°

Now apply angle sum property of a triangle on, the other one,

we get as, 70+40+y=180

hence, y = 180-110

y = 70°

Hence angle y ==> 70°

Answer:

4/8

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

3/2x+1/6=3/12x=4x

Answer:

b and c

Step-by-step explanation:

i got it right on my khan academy

Answer:

Train A is 497 tons and Train B is 13 tons

Step-by-step explanation:

Let a represent the weight of Train A, and b represent the weight of Train B

Set up a system of equations:

a + b = 510

a - b = 484

Solve by elimination by multiplying the top equation by -1

-a - b = -510

a - b = 484

Add these together, and solve for b:

-2b = -26

b = 13

Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a

a + b = 510

a + 13 = 510

a = 497

So, Train A is 497 tons and Train B is 13 tons

Answer:

$1.25

Step-by-step explanation:

0.75 = 3/4

3/4 ÷ 3 = 1/4

1/4 = 0.25

0.25 x 5 = 1.25

Answer:

$1.25

Step-by-step explanation:

Answer:41.8

Step-by-step explanation:

Answer:

D = 4

Step-by-step explanation:

None

Answer:

4

Step-by-step explanation:

Subtract 10d from both sides

5d-10d=-5d

-5d=-20

d=4

Answer:

M = 12.5

Step-by-step explanation:

Simple,

2 times 12.5 is 25

4 times 12.5 is 50

6 times 12.5 is 75

8 times 12.5 is 100

The "m" is just a variable. Kinda like a question mark.

Answer:

I would say the last one. If its wrong then its definitely option 9y/3

Sorry if its wrong :(

Answer:

First one is 4 and the second one is 0

Step-by-step explanation:

Answer:

The correct answer is A. 7625

Answer:

D AND E

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Bc I said so answer is always c

Answer:

16

Step-by-step explanation:

Set up the equation: g/2 = 8

We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).

End up with: g = 16

Hope this helps :)

Answer:

b. -3

Step-by-step explanation:

i hope this helps :)

Answer:

40x-5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

[tex]A=\frac{h(b_1+b_2)}{2}[/tex]

Using this, we can substitute, and get:

[tex]A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12[/tex]

Hope it helps!!

Answer:

False because both 2 and 8, and 3 and 5 are alternate interior angles

Answer:

With what?

Step-by-step explanation:

Can I have a brainliest pls pls pls

Answer:

2 / 3 loads

Step-by-step explanation:

From. The plot, we can conclude that, the detergent that has the most bottles is that with 5 ; the number of cups in the detergent with 5 bottles is 12 cups

Number of cups used for each load of laundry = 18 cups

The loads of laundry Eric can do is thus :

Number of cups of detergent / number of cups used for each load of laundry

= 12 / 18

= 2 / 3 loads

Answer:

1 1/2

Step-by-step explanation:

I took the test

Answer:

150/250

Step-by-step explanation: