Point S is on line segment \overline{RT} RT . Given RT=4x,RT=4x, ST=5x-10,ST=5x−10, and RS=6,RS=6, determine the numerical length of \overline{ST}. ST .

Answer:

1 1/8

Step-by-step explanation:

Divide 2 1/4 by 2.

9514 1404 393

Answer:

  [tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Step-by-step explanation:

A graphing calculator or spreadsheet can help you do the square root regression. See the attachment for the result.

  [tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

Answer:

false

Step-by-step explanation:

Answer:

False, it has no solution if the lines are parallel.

Answer:

1.00000

Step-by-step explanation:

Well I'm not sure what that upside down V is

Answer:

x=2, y = 6

Step-by-step explanation:

We see that y = 3x so we can substitute the y in x + y = 8.

x + 3x = 8.

Combine like numbers:

4x = 8.

Divide both sides by 4.

x = 2

Now plug in x to find y

2 + y = 8

Subtract 2 from both sides.

y = 6

Problem 1:

1) 3/5x-1 x 3/4=9/10

3x/5-1 x 3/4=9/10

2) 3x/5-1 x 3/4=9/10

3x/5-3/4=9/10

3) 3x/5-3/4=9/10

+3/4 +3/4

4) 3x/5=33/20

5) 5 x 3x/5= 5 x (33/20)

6) 3x=33/4

7) 3x=33/4

/3 /3

8) x=11/4

Problem 2:

1) 6/7+2/5x=-4/5

6/7+2x/5=-4/5

2) 6/7+2x/5=-4/5

-6/7 -6/7

3) 2x/5= --58/35

4) 5 x 2x/5= 5 x (--58/35)

5) 2x= --58/7

6) 2x= --58/7

/2 /2

x= --29/7

Answer:

x = 1

Step-by-step explanation:

5x + 17 = 1/2[(73x + 5) - (23x - 5)]

5x + 17 = 1/2[37x + 5 - 23x + 5]

5x + 17 = 1/2[14x + 10]

5x + 17 = 1/2 * 2(7x + 5)

5x + 17 = 7x + 5

5x - 17x = 5 - 17

-12x = - 12

x = - 12/-12

x = 1

A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,

∠WVU = (arc WU + arc WU)/2

5x + 17 = [(37x + 5) + (23x - 5)]/2

2(5x + 17) = (37x + 5) + (23x - 5)

10x + 34 = 37x + 5 + 23x - 5

10x - 37x - 23x = 5 - 5 - 34

-50x = -34

x = 34/50

x = 17/25

Hence, the value of x is 17/25.

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Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.

Answer:

Sienna will have done 6 laps while Lexi would have done 6

Step-by-step explanation:

Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Step-by-step explanation:

Answer-

the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Answer:

The difference between the high and low temperatures is 29°F

Step-by-step explanation:

Subtraction

The high temperature in Denver, Colorado was 25°F on Monday.

The low temperature was -4°F in the same place.

We are required to find the difference between the high and low temperatures.

We need to subtract 25 and -4:

Difference = 25°F - (-4°F)

Note we change the sign of the subtraction multiplying (-1) by (-1);

Difference = 25°F + 4°F

Difference = 29°F

The difference between the high and low temperatures is 29°F

Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4

Answer:

f(-7) = 21

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

f(x) = x² + 4x

f(-7) is x = -7

Step 2: Solve

Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Answer:

rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

2.88

= 2 [tex]\frac{88}{100}[/tex]

= [tex]\frac{2(100)+88}{100}[/tex]

= [tex]\frac{288}{100}[/tex] ← in rational form

Answer:

2.88 is a rational number.

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.

Other examples of rational numbers include:

-4

8

9/3

8.28

8.999999999...

The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.

Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.

The principal amount of money invested= $96,000

The rate of interest = 3.5%

The total interest on the principal amount = $153,400- $96,000 = $57,400

The time for this investment= ?

Using the formula for simple interest= p×T×R/100

57,400 = 96,000 ×T× 3.5 /100

Make T the subject of formula;

T = 57,400×100/96,000×3.5

T = 5740000/336000

T = 17 years (approximately)

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Answer:

F

Step-by-step explanation:

The median is always the letter in the middle

Answer:

As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%

Step-by-step explanation:

Count the blocks and convert (you can also use an array.) Hope this helps you!

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

The box is a 10x10 so it has 100 squares inside.

There are 81 squares shaded so the fraction would be 81/100

To get the decimal just divide 81 by one hundred so the decimal is .81

As a percent is would be 81%

Hope this helps ya!!

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Alg II

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

Answer: 1.5ft/seconds

Step-by-step explanation:

From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.

The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:

= 12ft / 8sec

= 1.5ft/seconds

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω｀●)

Answer:

o very easy hahaha I should tell step by step or shortcut

Answer:

2(x+7)+3(x+1)

2x+14+3x+3

5x+17

Answer:

Step-by-step explanation

2(x+7)+ 3(x+1)

2x+14+3x+3

5x+17 is the answer

Answer:

40 rubber bands are needed

5 rubber bands will be left from 5 bags of of rubber band

Step-by-step explanation:

Each student will need five rubber bands.

There are eight students

Total rubber bands needed = rubber bands per student × number of students

= 5 × 8

= 40

Total rubber bands needed = 40

Rubber bands come in bags of nine.

Number of bags needed = Total rubber bands needed / number of rubber bands in each bag

= 40 / 9

= 4.44 bags

It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5

5 rubber bands bags will be bought which = 5 × 9

= 45 rubber bands

Only 40 rubber bands are needed

Left over rubber bands = 45 - 40

= 5 rubber bands

Answer:

f(x)=-4x+-2

Step-by-step explanation:

Slope intercept form: f(x)=mx+b

m=slope=[tex]\frac{rise}{run}[/tex]

b=y-intercept=y value when x=0