5. If m 6 = x, m 7 = x – 20, and m 11 = 80 then x =

Answer:

[tex]\boxed{\pink{\bf Yes \ \angle L = \angle O . }}[/tex]

A figure is given to us in which ML = MO . And we have to Prove ∆ MLN [tex]\cong[/tex] ∆ MON .

Hence here , in ∆ MLN & ∆ MON ,

Hence by SAS congruence condition

[tex]\boxed{\red{\bf \triangle MLN \cong \triangle MON}}[/tex]

____________________________________

(ii) Yes ∠ L = ∠ O will be equal to each other .( by cpctc )

The congruence conditions for two ∆s are :-

1) SAS ( Side Angle Side )

→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.

2) AAS ( Angle Angle Side )

→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .

3) SSS ( Side Side Side )

→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.

4) RHS ( Right Hypotenuse Side )

→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

Step-by-step explanation:

[tex] = a(a + ab - c) - bc[/tex]

[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]

[tex] = {2a}^{2} + ab - ac - bc[/tex]

Answer:

The required answer is [tex]\dfrac{1}{5^{15}}[/tex].

Step-by-step explanation:

Consider the provided exponent.

The given exponent is [tex]5^{-15}[/tex].

We need to write it using a positive exponent.

So, use the property: [tex]a^{-m}=\dfrac{1}{a^m}[/tex]

By using the above property we can rewrite the given exponent as:

[tex]5^{-15}=\dfrac{1}{5^{15}}[/tex]

Hence, the required answer is [tex]\dfrac{1}{5^{15}}[/tex].

Answer: None of the choices is correct.

6,714÷103 is about 65.184

Step-by-step explanation:

The closest answer is the second choice. But there must be a typo in the question.

6,714÷100 = 67.14

I hope this helps. You might be able to ask your teacher about the mistake in the question.

Answer:2

Step-by-step explanation:

Answer:

2/5 or 0.4

Step-by-step explanation:

Answer:

n+9)6=282

n+9=47

n=38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

282/6=47

47-9=38

Answer:

a) 3/4

b)4/6 = 2/3

hope this helps u

pls mark me as brainiest :)

Answer:

1 milimeter

Step-by-step explanation:

the rest you can see easily by naked eye

Answer:

D

Step-by-step explanation:

1 millimeter cuz its a microscope u use it to see deep into stuff.

Give brainliest

Answer:

✔️Quarter circle

✔️Area = 38.5 cm² (nearest tenth)

✔️Perimeter = 25.0 cm (nearest tenth)

Step-by-step explanation:

✔️The figure given is a ¼ circle

Radius is given as = 7 cm

✔️Area = ¼(πr²)

Plug in the value of r

Area = ¼(π*7²)

Area = ¼(π*49)

Area = 38.5 cm² (nearest tenth)

✔️Perimeter = ¼(2πr) + 2r

Plug in the value of r

Perimeter = ¼(2*π*7) + 2(7)

Perimeter = ¼(14π) + 14

Perimeter = 25.0 cm (nearest tenth)

Answer:

Your answer is E

Step-by-step explanation:

Here you go mate

Step 1

-17x+2<-10x-19  Equation/Question

Step 2

-17x+2<-10x-19  Simplify

-7x<-21

Step 3

−7x<−21 Use 7 to divide

answer

So therefore x>3

Answer: A

Step-by-step explanation:

In this equation, the largest exponent is odd, so the two ends are going in different directions. Since the leading coefficient is positive, the left side is going down, while the right side is going up.

As y approaches negative infinity (goes down), x approaches negative infinity (goes left).

Simplified: as the y value decreases, the x value decreases.

As y approaches infinity (goes up), x approaches infinity (goes right).

Simplified: as the y value increases, the x value increases.

Answer: The final answer is 30.

Step-by-step explanation: The question says the ratio is 2 boys : 3 girls. There are 18 girls. Well, how did you get from 3 to 18? You multiply by 6. But whatever you do to the denominator you have to do with the numerator. So, multiply 2 and 6. That gives you 12 boys and 18 girls. Adding 12 and 18 gives you 30. Therefore, there are 30 students in the whole class.

Answer:

C. a = 2s - b - c

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]

Step 2: Solve for a

Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{v=u+at}[/tex]

[tex]\bold{u=15}}[/tex]

[tex]\bold{a=8}[/tex]

[tex]\bold{t=2}[/tex]

[tex]\bold{New\ equation: v =15+8(2)}[/tex]

[tex]\bold{15+8(2)}\\ \bold{8(2)=16}\\\bold{15+16=31}[/tex]

[tex]\boxed{\boxed{\bold{{Answer:v= 31}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer: The answer  is 4 /3  .

  You need to make the numbers 12 and 9 into a fraction like this 12 /9 and go to a calculator on a website that is not blocked and enter 12 /9 .  the calculator on the website will show the answer of the problem . If  you working this problem , the answer is 4 /3 . you need  put the fraction first before will answer appears  . thank you for asking for question .  

Answer:

48x²

Step-by-step explanation:

Area of rectangle=(a×b)

=8x×6x

=48x²

Answer:

(-4)^2= 16 -4^2= -16

Step-by-step explanation:

Answer:

2.0909=x

Step-by-step explanation:

9 (4 - x) = 2 (x + 7)

(9*4)-(9*x)=(2*x)+(2*7)

37-9x=2x+14

23=11x

23/11

2.0909=x

Answer:

8,417.769

8416 + 0.28 is just adding 28 at the end so 8416.28

now 8416.28 + 1.489 is 8,417.769

the awnser is 8,417.769



Step-by-step explanation:

Answer:

The answer is 8417.769

The value of the given division 469.4 ÷ 62 will be 7.57.

In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.

The symbol of + represents addition.

The symbol of - represents subtraction

The symbol of × represents multiplication

The symbol of ÷  represents division.

Given the division,

469.4 ÷ 62

⇒ 7.570967742

Rounded to the nearest tenth decimal place

⇒7.57

Hence "The resultant of the 469.4 ÷ 62 is 7.57 ".

To learn more about the arithmetic operators,

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Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  [tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

                [tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]

The standard error of the sample mean  is approximately (S.E) = 0.7835.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]

Learn more about standard error here:

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Answer:

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Answer:

y=3

Step-by-step explanation:

Answer:

There is an outliner in the data for the boys, but no the for the girls

Step-by-step explanation:

Answer:

the answer is ''the girls are generally taller than the boys''

Step-by-step explanation:

Answer:

a) P(F) = 0.15

b) P(F/B) =  0.13

c) 5% customers order neither food not beverage.

Further explanation is in the explanation section

Step-by-step explanation:

Solution:

Data given:

B = The customer orders a beverage

F = The customer orders food.

F + B = The customers order food and a beverage.

Percentage share:

F = 3%

B = 92%

F + B = 12%

a)

So, the Probability of B, the customer orders a beverage will be:

P(B) = 92% = 0.92

Probability of (F+B), the customers orders food and beverage will be:

P(F ∩ B) = 12% = 0.12

And we know that, 3% customers order food alone so,

P(F) - P(F ∩ B) = 3% = 0.03

So,

P(F) = (P(F) - P(F ∩ B)) + P(F ∩ B)

P(F) = 0.03 + 0.12

P(F) = 0.15

It means that 15% customer order food only.

b) Probability that the customer orders food given that they order a beverage.

P(F/B) =  (Probability that the customer orders food given that they order a beverage.)

P(F/B) = P(F∩B)/P(B)

P(F/B) = 0.12/0.92 = 0.13

P(F/B) =  0.13

Symbolic form of the required probability is = P(F/B)

c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage?

Probability of ordering food and beverage will be:

P(F U B)

So,

Probability of ordering neither food nor beverage will be = 1 - P(F U B)

And,

P(F U B) = P(F) + P(B) - P(F ∩B)

P(FUB) = 0.15 + 0.92 - 0.12

P(FUB) = 0.95

Probability of ordering neither food nor beverage will be = 1 - P(F U B)

Probability of ordering neither food nor beverage will be = 1 - 0.95

Probability of ordering neither food nor beverage will be = 0.05

Hence, 5% customers order neither food not beverage.

So, we have selected 180 random people so, 5% of 180 =

number of people order neither food  nor beverage = 5/100 x 180

number of people order neither food  nor beverage = 9 people

It means we can expect out of 180 people, 9 people will not order food or beverage.