Given triangle ABC if AB=( 2x-5 ). and AC = (3X -9) Find the value of X if AB = AC

Answer:

b = 15

Step-by-step explanation:

Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].

Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].

So b is 15.

Answer: b = 15

Step-by-step explanation:

Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².

--------------------------------------------------------------------

Given

a = 8

c = 17

Solve

a² + b² = c²

(8)² + b² = (17)²

64 + b² = 289

b² = 225

b = √225

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1/9

Step-by-step explanation:

Probability  =  Expected outcome/Total outcome

From the given pi chart,

Total outcome = 360degrees (since the total angle in a circle is 360 degrees)

Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;

Expected outcome = 40degrees

Pr(scoring a 5) = 40/360

Pr(scoring a 5) = 1/9

Hence the probability of scoring a 5 is 1/9

Answer:

1/9

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Divide the number of events by the number of possible outcomes.

Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

Hello!

This is a question relating trigonometry to unknown sides.

Here we can use the law of sines, which state that if a triangle is a right triangle, the ratio between a side and the sin of its opposite angle will be equal to any other ratio of the same type.

This means that we can set up this equation.

[tex]\frac{17}{sin(90)}=\frac{AC}{sin(38)}[/tex]

[tex]AC=17sin(38)[/tex]

Be sure to be on degrees if you're on a calculator.

[tex]AC=10.47[/tex]

Hope this helps!

Answer:

11.04

Step-by-step explanation:

Given the data:

29, 15, 22, 52, 38

The mean absolute deviation :

Mean, m = Σx / n

n = sample size = 5

29 + 15 + 22 + 52 + 38 = 156

Mean = 156 / 5 = 31.2

Mean absolute deviation (MAD):

Σ|x - m| / n

(|29 - 31.2| + |15 - 31.2| + |22 - 31.2| + |52 - 31.2| + |38 - 31.2|) / 5

(2.2 + 16.2 + 9.2 + 20.8 + 6.8) / 5

55.2 / 5

= 11.04

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Answer/ Step-by-step explanation:

12>6(12x+2)

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

12/6 >12x+2

Divide 12 by 6 to get 2.

2>12x+2

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

12x+2<2

Subtract 2 from both sides.

12x<2−2

Subtract 2 from 2 to get 0.

12x<0

Product of two numbers is <0 if one is >0 and the other is <0. Since 12>0, x must be <0.

x<0

Hopefully i helped =3

Answer:

$6380.38

Step-by-step explanation:

Floyd will be paid $2,504,880 each month.

Compound interest is an interest of interest to the principal sum of a loan or deposit. The concept of compound interest is the interest adding back to the principal sum so that interest is earned during the next compounding period.

Given that Floyd invests $1,000,000 in a 20-year annuity that earns 4.6% APR compounded monthly.

A = P(1+r)ⁿ

A = 1,000,000(1+0.046/12)²⁰⁽¹²⁾

A = 2,504,880

Hence Floyd will be paid $2,504,880 each month.

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Answer:

10218.75

Step-by-step explanation:

You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:

For the rectangle:

37.5*22.5 = 843.75

For the triangle:

To find the base: 75 - 37.5 = 37.5

To find the height, use pythagoream theorem.

62.5² = 37.5² + b²

3906.25 = 1406.25 + b²

3906.25 - 1406.25 = 2500

√2500 = 50.

The height is 50, so 50*37.5(1/2)

= 937.5

Now add them together

937.5 + 843.75

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

(x - 3)² + (y - 2)² = 16

Step-by-step explanation:

The center of the circle is (3, 2).

The radius of the circle is 4.

(x - 3)² + (y - 2)² = 4²

Answer: (x - 3)² + (y - 2)² = 16

The complete equation of this circle​ with center (3, 2) and radius 4 units is

(x - 3)² + (y - 2)² = 4²

Used the concept of the equation of the circle which stated that,

The standard form of the equation of a circle is,

(x - h)² + (y - k)² = r²

Where, (h, k) is the center of the circle and 'r' is the radius of the circle.

Given that,

The center of the circle is (3, 2).

And, The radius of the circle is 4.

Here, (h, k) = (3, 2)

And, r = 4

Substitute all the values in the standard form of the equation of a circle,

(x - 3)² + (y - 2)² = 4²

Therefore, the equation of a circle,

(x - 3)² + (y - 2)² = 16

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Step-by-step explanation:

mp=$30

%D=10%=%D=D/M.p×100

10%=D/30$×100=100D=10

DISCOUNT =$3

S.P=$27×6÷100=$1.62+27

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Answer:

a

Step-by-step explanation:

plato

Security deposit is paid in advance to protect landlords against nonpayment.

percentage, a relative value indicating hundredth parts of any quantity.

A security deposit is a sum of money paid by a tenant to a landlord or property manager before moving in, with the purpose of protecting the landlord in case the tenant does not fulfill their obligations under the lease agreement, such as not paying rent, damaging the property or leaving it unclean at the end of the lease.

The amount of the security deposit is usually equal to one or two months' rent, and it is refundable at the end of the lease term, provided that the tenant has complied with all the terms of the lease.

If the tenant has breached the lease agreement, the landlord may use the security deposit to cover the unpaid rent or any damages caused by the tenant.

Hence, Security deposit is paid in advance to protect landlords against nonpayment.

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Answer:

In SI base units: 1 m2  SI unit: Square metre

Step-by-step explanation:

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.

Answer:

a. Minimum: 2

b. Q1: 9/2 = 2 1/2

c. Median: 10

d. Q3: 27/2 = 13 1/2

e. Maximum: 20

Answer:

135

Step-by-step explanation:

that line equals 180 degrees so just subtract 45 to get the value of x

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

Answer:

Angle 1 and Angle 2 are adjacent angles.

Answer:

Simpify each expression :

1) B

2)B

3)C

4)A

5)A

6)C

Find each product, and simplify the expression :

7)B

8)A

9)A

Step-by-step explanation:

I will send the explanation in a little time.

Answer:

320

Step-by-step explanation:

I attached my work, for coming questions that is the formula

10 = base length

8 = base width

12 = pyramid height

Answer:

V = 320ft³

Step-by-step explanation:

Given

L = 10 W = 8 H = 12

Solution

V = LWH/  3= 10·8·12/ 3 = 320

Therefore, the volume of the given pyramid is V = 320ft³

Answer:

the answer is b on plato

Step-by-step explanation

:

The age of the male sea turtle will be 215 years old.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

You meet two talking sea turtles. The sum of their ages is 388. The male turtle is 42 years older than the female.

Let x be the age of a male and y be the age of a female. Then the equations will be

x + y = 388       ...1

x = y + 42         ...2

From equations 1 and 2, then we have

y + 42 + y = 388

2y = 346

y = 173 years old

Then the value of x will be

x = 173 + 42

x = 215 years old

The age of the male sea turtle will be 215 years old.

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Hello!

Lets tackle each section separately!

So Robin gives the first group [tex]\frac{1}{8}[/tex] of the apples.

To find how many apples that is in standard form, we divide 40 by 8.

40 ÷ 8 = 5.

So the first group ate 5 apples.

The second group ate 4 apples.

We do not have to calculate anything since it is already in standard form.

The third group ate 20% of the apples.

To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.

40 × 0.20 = 8.

The last group of children ate 8 apples.

Now we add each groups apple intake together.

5 + 4 + 8 = 17.

Finally, we subtract 17 from 40.

40 - 17 = 23.

There were 23 apples left.

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