Given: Circle O with diameter LN and inscribed angle LMN Prove: is a right angle. What is the missing reason in step 5? Statements Reasons 1. circle O has diameter LN and inscribed angle LMN 1. given 2. is a semicircle 2. diameter divides into 2 semicircles 3. circle O measures 360o 3. measure of a circle is 360o 4. m = 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:

50

Step-by-step explanation:

Using the experimental probability, first we have to find total amount paint then to find the amount of good quality forever paint we have to subtract the amounts of other paints from total amount.

Let x represents the amount of good quality forever paint sold.

Total amount of paint [tex]=48+45+35+39+33+x=200+x[/tex]     ...(i)

Experimental probability of paint sold will be better quality durable paint is

[tex]P=\dfrac{\text{Amount of better quality durable paint}}{\text{Amount of total paint}}[/tex]

[tex]P=\dfrac{45}{\text{Amount of total paint}}[/tex]

It is given that experimental probability of paint sold will be better quality durable paint is [tex]\frac{9}{50}.[/tex]

[tex]\frac{9}{50}=\dfrac{45}{\text{Amount of total paint}}[/tex]

[tex]\text{Amount of total paint}=\dfrac{45\times 50}{9}[/tex]

[tex]\text{Amount of total paint}=250[/tex]     ...(ii)

From (i) and (ii), we get

[tex]200+x=250[/tex]

[tex]x=250-200[/tex]

[tex]x=50[/tex]

Therefore, 50 gallons good quality forever paint is sold.

Answer:

9/5+3/1

24/5 24/5 24/5 24/5 24/5 24/5

i think copies is a multiplication and sum is to add together so

6x(9/5+3)

9/5 is 1 whole and 4/5. 1 whole plus 3 wholes is 4 Wholes so it is 4 wholes and 4/5 which is 24/5.

6x24/5 is (6x24 is 144) so its 144/5 so its 28 wholes and 4/5.

Answer:

C and F

Step-by-step explanation:

Using this those are the only two that make sense

Answer:

Step-by-step explanation:

Answer:

Just pick one step below I guess...

Step-by-step explanation:

I'll just solve it because I don't know which step you're looking for.

Move everything except for the 7 to one side:

[tex]x^2-12x=-7[/tex]

Now take the square of half of the coefficient for the x and add it to both sides.

[tex]x^2-12x+36=29[/tex]

You can see that the side can now be factored.

[tex](x-6)^2=29[/tex]

[tex]x-6=\sqrt{29}[/tex]

[tex]x=\sqrt{29}-6, x=-\sqrt{29} -6[/tex]

The solutions to the quadratic equation are:

[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]

The given equation is:

[tex]x^2=12x-7[/tex]

The equation can be re-written as:

[tex]x^2 - 12x = -7[/tex]

Add [tex]6^2[/tex]  to both sides of the equation

[tex]x^2-12x+6^2=-7+6^2\\\\x^2-12x+6^2=-7+36\\\\[/tex]

The expression can be further simplified as:

[tex](x-6)^2=29[/tex]

Take the square root of both sides

[tex]x-6=\pm\sqrt{29} \\\\x=6 \pm\sqrt{29}[/tex]

The solutions to the quadratic equation are:

[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]

Learn more on completing the square here: https://brainly.com/question/10449635

Answer:

y=((−3(x−3))(6))( 1/2)+6

Step-by-step explanation:

Answer:

step 3 has incorrect justification.

Step-by-step explanation:

because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.

Answer:

Step 3

Step-by-step explanation: Combine like terms but 8 is still in the left side, so combine like terms 3 has incorrect justification.

Answer:

B

Step-by-step explanation:

Answer:

5 is the highest/greatest common factor

Step-by-step explanation:

For this, we'll factor it out:

=> 10a-25+5b

Taking 5 common

=> 5(2a-5+b)

Since All are divisible by 5, So 5 is the highest common factor.

Answer:

5

Step-by-step explanation:

Answer:

7.5m

Step-by-step explanation:

1cm:2.5m

3cm:7.5m

Answer:

Graph the absolute value using the vertex and a few selected points.

x        y

-2     7.67

-1      7.17

0      [x+2 over 3] + 14

                 2

1      7.83

2      8.33

hopes this helps :)

It is an irrational number, as it is neither terminating nor non-terminating recurring.

Answer:

It is irrational

Step-by-step explanation:

It is not terminating and it doesnt repeat it self

F.

Step-by-step explanation:

sorry i gusstn guesst it

Answer: [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]

Step-by-step explanation:

in the given figure, we can observe that both triangles are similar since they have two equal angles of 100° and 60° .[By AA similarity criteria]

Also, the corresponding sides of similar triangles are proportional.

As side with measure 8 in bigger triangle corresponds side with measure 4 on the smaller triangle. [shortest side]

Similarly, side with measure 14 in bigger triangle corresponds side with measure y on the smaller triangle.  [longest side]

Using proportionality, we have

[tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]

Hence, the proportion can be used to find the value of y is [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex].

Answer:

Step-by-step explanation:

Area = L * B = 9 * 3 = 27 square feet

Answer:

the GCF is 3 so 2b - 3k

Step-by-step explanation:

Answer:

1a) the GCF of 6 and 9 is 3.

1b) -9

Step-by-step explanation:

1a) The greatest commons factor is the greatest number that divides two numbers. 3 is the largest number that goes into both 9 and 6 evenly. Therefore, 3 is the GCF.

1b) 6*3=18 and 9*3=27

18-27=-9

Answer:

72cm^2

Step-By-Step Explanation

36=2(y+2y)

36=2(3y)

36=6y

y=6cm

Width of rectangle= 6cm

Length of rectangle= 2y=2×6 = 12

Area of rectangle= L×W = 12×6 =72cm^2

Answer:

y=2

x=2

y=x2+2

y= lx+2l

Step-by-step explanation:

This is because these are the simplest forms of the equation. seeing as a function is f(x) (which is the same as y) when an equation is equal to a single variable, it is "solved" for hat variable and therefore best represents the equation of the function :)

Answer:

1 . x = 9,

2 . n = 4,

3 . Clare made an error in the 2nd step; Correct answer is y = - 65 / 11

Step-by-step explanation:

1 .

[tex]2 * ( x + 5 ) = 3x + 1 - Apply Distributive Property,\\\\2x + 10 = 3x + 1 - Subtract 2x from Either Side,\\10 = x + 1 - Subtract 1 from Either Side,\\\\x = 9,\\Conclusion; x = 9[/tex]

2 .

[tex]3 * ( n + 2 ) = 9 * ( 6 - n ) - Apply Distributive Property,\\\\3n + 6 = 54 - 9n - Add ( 9n ) on Either Side,\\12n + 6 = 54 - Subtract 6 from Either Side,\\\\12n = 48 - Divide Either Side by 12,\\n = 4,\\\\Conclusion; n = 4[/tex]

3 . Clare made an error in the second step ( 72 + 24y = 4y - 5 - 9y ) and to derive the correct solution, see the following steps below;

[tex]12 * ( 5 + 2y ) = 4y - ( 5 - 9y ),\\60 + 24y = 4y - 5 + 9y,\\65 + 24y = 4y + 9y,\\65 + 24y = 13y,\\\\65 = - 11y,\\y = - 65 / 11\\\\Conclusion; y = - 65 / 11[/tex]

Answer:

The correct option is;

Experimental study

Step-by-step explanation:

We note that an observational study is one where the person who carries out the study only puts together data or observes the effect of a factor, an intervention or a test and comes to conclusion based on what is observed without trying to control the variables while an experiment involves the application of an intervention to the group and taking down the effects.

The conditions of the study is directly under the influence of the researcher in an experiment such that the cause and effect relationship of an event can clearly be proved

Therefore, Jada is performing an experimental study.

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

__

1. Cos = Adjacent/Hypotenuse

  cos(52°) = AC/AB

  AB = AC/cos(52°) = 10.01/0.616

  AB = 16.25

__

2. Tan = Opposite/Adjacent

  tan(42°) = GH/HI = 11/HI

  HI = 11/tan(42°) = 11/0.90

  HI ≈ 12.22

Answer:

a

Step-by-step explanation:

11-9=2 and 2 times 7 is 14, 14 plus 12 is 26 ,and 26=26 is a true statement

Answer:

the answer is Cccccccc

Answer: the answer is C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

the answer is 21

Step-by-step explanation:

Answer:

38.2

Step-by-step explanation:

The total number of people who prefer burgers is

26+42 =68

The number who are female is  26

The fraction of women  that prefer burgers is

26/68 =.382352941

Changing to a percent

38.2%

Answer: Yes

Step-by-step explanation: The area of a triangle equals 180°

100+60+20=180

Answer: Yes

Explanation: The sum of the measures of the angles is always 180°

This idea is known as the (Triangle Sum Theorem).

Since 20 + 60 + 100 is equal to 180, we know

that these measures can form a triangle.

Answer:

D x+6 is the correct answer

Answer:

5.25 miles per practice

Step-by-step explanation:

you have to divide 21 by 4 and you 5.25 you can also use a calculator to solve this problem out

Answer:

x = 6.9

Step-by-step explanation:

We're going to use SOH CAH TOA.

If we look at the angle (58°), and see what the relevant sides of the triangle are, we can see that the hypotenuse (our known side) is the H (hypotenuse), and the side labelled 'x' (our unknown side) is the A (adjacent).

According to SOH CAH TOA, we'll use cos (C), since we're working with the adjacent and the hypotenuse.

The equation for CAH is cos (Ф°) = A/H

In this case, Ф = 58°, A = x, and H = 13

So cos (58°) = x/13

Solve for x by multiplying both sides by 13 and using your calculator to evaluate.

13 cos (58°) = x

x = 6.88895

To the nearest tenth, x = 6.9

Answer:

a) square pyramid

b)sphere

c)cube

d) pyramid

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: square based pyramid

B: sphere

C: Cube

D: Tetrahedron