x-1
8
The slope of QR is *4 and the slope of ST is
3
If QR I ST, determine and state the value of x.

X-18The Slope Of QR Is *4 And The Slope Of ST Is3If QR I ST, Determine And State The Value Of X.

Answers

Answer 1

Answer:

E. -1/2

Step-by-step explanation:

When two lines are said to be perpendicular to each other, the slope of one is the negative reciprocal of the other.

Therefore, given that [tex] \frac{x - 1}{4} [/tex] is the slope of [tex] \overline{QR} [/tex], and ⁸/3 is the slope of [tex] \overline{ST} [/tex], if both lines are perpendicular, it means that the slope of [tex] \overline{ST} [/tex] would be the negative reciprocal of the slope of [tex] \overline{QR} [/tex].

Therefore:

[tex] \frac{x - 1}{4} = -\frac{3}{8} [/tex]

Cross multiply

[tex] (x - 1)(8) = (-3)(4) [/tex]

[tex] 8x - 8 = -12 [/tex]

Add 8 to both sides

[tex] 8x = -12 + 8 [/tex]

[tex] 8x = -4 [/tex]

Divide both sides by 8

[tex] x = \frac{-4}{8} [/tex]

[tex] x = \frac{-1}{2} [/tex]


Related Questions

find the measure of BE step by step

Answers

Answer:

BE = 49 cm

Step-by-step explanation:

Use Pythagorean theorem

(hypotenuse)² = (base)² + (leg)²

ΔDEF,

DE² + EF² = FD²

DE² + 63² = 65²

DE² + 3969 = 4225

              DE² = 4225 - 3969

              DE² = 256

             DE = √256 = √(16*16)

DE = 16 cm

ΔCBD,

BC² + BD² = CD²

56² +BD² = 65²

3136 + BD² = 4225

           BD² = 4225 - 3136

           BD² = 1089

          BD = √1089 = √(33*33)

BD = 33 cm

BE = BD + DE

    = 33 + 16

BE = 49 cm

instructions: the polygons in each pair are similar. find the missing side length.

Answers

Answer:

it's 19

Step-by-step explanation:

18 - 3 = 15

so the difference between them is 15

so since you wanna fine the "?" on the right, you would add 4+15, which gives you 19

(also 3 and 4 four are only one number apart, so you could have just added (+1) to 18) :)

can answer this
1/2 + 2/5=​

Answers

Answer:

9/10 or 0.9.

Step-by-step explanation:

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

Answer:

9/10 or 0.9

Step-by-step explanation:

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

9/10 or 0.9

In Fraction = 9/10

In Decimal = 0.9

Thus, The answer is 9/10 or 0.9

-TheUnknownScientist

Find the value of X

Answers

5x = 40

divide by 5 on both sides :

x=8

Answer : x=8

Martha's mother is 4 times older than Martha. Martha mother is 36 years old. Which equation can be used to find Martha's age, a?

Answers

Answer:

4a = 36

Step-by-step explanation:

multiply a by 4 to get the mom's age. it can also be 1/4 (36) = a

Answer:

m=4a, m=36, 36/4=a

Step-by-step explanation:

M= Martha's mom's age, a=martha's age.

dont tell me the Answer but walk me through the steps plz

Answers

Answer:

Find the multiplies of 2


If the Miami Marlins won 14 of their first 27 games and the team continued to win at the
same rate, how many games would they win in a 162-game season?
c. 98 games
d. 56 games
a. 84 games
b. 70 games

Answers

I guess 84
:)if it is wrong sorry

This type of problem can be solved in various ways such as in terms of ratios and fractions, Let us go with fractions.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Miami Marlins won 14 of their first 27 games.

So, their win rate in decimal is,

= 14/27.

= 0.518.

∴ In 162 games at the same rate, Miami Marlins will win,

162×0.518.

= 84 games.

So, after playing 162 games they'll win 84games.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

what is ─6d – 10 = 10 – 4d solved for the variable

Answers

Answer:

d = -10

Step-by-step explanation:

(d is the variable)

-6d - 10 = 10 - 4d

+4d        +10

-2d = 20

-2d/-2    20/-2

d = -10

:)

Answer:

d = 2

Step-by-step explanation:

Simplify both sides.

6d − 10 = 10 − 4d

6d + −10 = 10 + −4d

6d − 10 = −4d + 10

6d − 10 + 4d = −4d + 10 + 4d

10d − 10 = 10

10d − 10 + 10 = 10 + 10

10d = 20

20 ÷ 10 = 2

An ant is walking at a speed of 42 centimeters in 5 minutes.

Part A
At what rate did the ant walk?

Part B
A slug moved a distance of 30 centimeters. It moved at a rate that was 2.4 centimeters per minute slower than the ant. For how many minutes was the slug moving?

Answers

Answer:

Part A. the ant walked at a speed of 8.4 centimeters per minute.

Part B. the slug was moving for 5 minutes because 8.4 minus 2.4 is 6 and 6 times 5 is 30.

Step-by-step explanation:

Find the m TFS.

Answer choices are:
12 degrees
76 degrees
64 degrees
52 degrees​

Answers

It’s 52 because there are two sides with 64 degrees (the bottom two sides) and you add those to sides together and subtract your combine angle of the bottom 2 sides by 180 degrees which is the degree of all triangles combine and get 52

Help me out? Please! Thank you!

Answers

Answer:

A

Step-by-step explanation:

pls give brainliest

Nicole is buying some souvenir keychains for her friends. Her total bill is $11.40. If the keychains are $0.95 each, how many keychains did she buy?

pleaseeeeeeeeeeeeeeeeeeee helpppppppppppp

Answers

Answer:

12 keychains

Step-by-step explanation:

$11,40 : $0,95 = 12

which sentence most accurately describes how to solve for perimeter multiplying dividing subtracting or adding all sides of the polygon​

Answers

Answer:

Is there supost to be an image or options orrr?....

Step-by-step explanation:

If a water dispenser pours 2 1/3 gallons a minute. How long does it take to pour 6 gallons in mixed number form?

Answers

Answer:

Step-by-step explanation:

3 1/2

A carpenter has boards of length 24 36 and 42 inches they must be cut into smaller boards of equal length with no scrap wood left over . What is the longest lenght of boards can he cut

Answers

The longest he can cut is 6 inches

Answer:6 inches

Step-by-step explanation:

Which system of linear equations has the ordered pair (4, –5) as a solution? 2 x minus 5 y = negative 30 and 7 x + 4 y = negative 19 6 x minus y = negative 29 and 8 x + 3 y = negative 17 3 x minus 2 y = 22 and 2 x + 9 y = negative 37 5 x minus 6 y = 49 and x + 8 y = negative 27

Answers

Answer:

c

Step-by-step explanation:

i took test

The ordered pair (4, -5) satisfies the equation

3x- 2y= 22

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have ordered pair (4, -5)

First equation, 2x - 5 y= -30

So, 2(4)- 5(-5)= 8 + 25= 33

Second equation,7 x + 4 y = -19

So, 7(4)+4(-5)= 28 -20= 8

Third equation, 6x - y= -29

So, 6(4) +5= 24+ 5 = 29

Fourth equation, 8 x + 3 y= -37

So, 8(4) + 3(-5)= 32 - 15 = 17

Fifth equation, 3x- 2y= 22

3(4)- 2(-5)= 12 + 10 = 22

sixth equation, 2x+ 9y = -37

2(4) + 9(-5)= -37

seventh equation, 5x- 6y= 49

5(4) - 6(-5)= 20 + 30 = 50

eight equation, x+ 8y= -27

4+ 8(-5)= -36

Learn more about equation here:

https://brainly.com/question/10413253

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A square has a side 9cm length . What is its area?

Answers

Answer:

81

Step-by-step explanation: A square has all sides the same so you just multiply 9×9

Have a great day and a awsome thanks giveing brake :)

Create and solve an additional word problem using the following numbers:

Answers

Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?

Answer: 2 1/42 gallons

Solving Steps:

2 6/7 - 5/6 (needs to be simplified)6/7 x 6/6 = 36/425/6 x 7/7 = 35/4236/42 - 35/42 = 1/422 + 1/42 = 2 1/42Final Answer: 2 1/42 gallons

I hope this helps!! :)

When does a parabola open upward?
a.
when p is negative
c.
when p is positive
b.
when h is positive
d.
when h is negative


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C - When p is positive

Step-by-step explanation:

Just took the test

Gina already owns 2 necklaces , and additional necklaces are priced at 1 for a dollar. How much money does Gina need to spend on new necklaces in order
to own a total of 18 necklaces?

Answers

Answer:

16 dollars

Step-by-step explanation:

she already owns 2 necklaces

18-2=16

1 necklace =1 dollar

16x1=16

Answer:

16 dollars.

Step-by-step explanation:

She already has 2 necklaces. For a total of 18 necklaces, she needs to pay for 16 more. One is 1 dollar so do 16 x 1 to find the amount of payment required.

Hope it helps!

someone helpppp pleaseeee

Answers

Answer:

138

Step-by-step explanation:

G + H = 180   {G, H are linear pair}

12x + 6 + 4x - 2 = 180

12x + 4x + 6 - 2  = 180

       16x  + 4      = 180

                    16x = 180 - 4

                   16x = 176

                      x = 176/16

                      x = 11

G = 12x + 6

   = 12*11 + 6

  = 132 + 6

  = 138

A varies inversely as the square of B. If A is 1 when B is 3, find A when B is 5

Answers

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

Answer please ;)ANSWER PLEASE!!!!!!!!

Answers

Answer:

y intersect is -4 and x intersect is between 6 and 7...

Step-by-step explanation:

which is a correct statement about the description to less than the quotient of a number cubed and 16 increased by 8 when n equals 4 ​

Answers

Answer

12

Step-by-step explanation:

Get equation: (n^3/16) + 8

Substitute: ((12)^3/16) + 8

Solve: 64/16 + 8

              4     + 8

               = 12

Which value of x makes the following equation true?

6.5(x - 2) = -0.5x + 29
A. 9
B. 6
C. 5
D. 8

Answers

Answer:

The value of x that will make this equation true is 50.

0.5 times 50=25 -8 = 17

0.2 times 50= 10 +7 = 17

Therefore, your answer is 50.

Step-by-step explanation:

Know ur meme ;)

4
Noah has a bag of candies
that he splits between
himself and 3 friends. His
brother then gives him 8
more candies. If he now has
36 candies, how many were
in the bag to begin with?
Explanation too please

Answers

Answer:

28

Step-by-step explanation:

36 - 8 = 28

Answer:

112

Step-by-step explanation:

36-8= 28. then 28 x 4 = 112 candies total

1. On Monday, Sarah
started reading her book
that has 26 chapters. On
Monday, she read 9/26 of
her book. On Tuesday she
read 6/26 of her book. How
much does she have left to
read?

Answers

Answer:

Sara have 11 chapters left to  read.

Step-by-step explanation:

Total chapters Book has = 26

On Monday Sarah read = [tex]\frac{9}{26}\ of \ 26 \ chapters = \frac{9}{26}\times \ 26 \ chapters=9 \ chapters[/tex]

On Tuesday Sarah read = [tex]\frac{6}{26}\ of \ 26 \ chapters = \frac{6}{26}\times \ 26 \ chapters=6 \ chapters[/tex]

Total Chapters read by Sarah = [tex]9+6= 15 \ chapters[/tex]

Chapters left to read by Sarah = [tex]26-15 = 11 \ chapters[/tex]

So, Sara have 11 chapters left to  read.

what is the image point of (-6,1) after a translation left 2 units and down 3 units​

Answers

Answer:

(-8, -2)

Step-by-step explanation:

Subtract 2 from -6, so -6 -2 which gives -8.

Subtract 3 from 1 so, 3-1 = -2.

Answer:I just had to do this in Math class and the answer is (-8,-2)

Step-by-step explanation:

When graphed, which line will have the
greatest rate of change?
a. y = 5x
b.
y = 3x
y = 0.3x
C.

Answers

Answer:

the answer is y=5y , because the larger b , the larger rate of change

The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of radioactive radium will remain after 275 years?

Answers

Answer:

88.76%

Step-by-step explanation:

Given that :

Half life of radium = 1599 years

Percentage that will remain after 275 years

Using the relation :

y = Ae^kt

Where ; A = mass of radium and t = half life = 1599, A = initial mass

By 1599, the mass of radium will be half its initial

Hence,

y = initial / 2 = A /2

A/2 = Ae^kt

To obtain the value of k

0.5 = e^1599k

In0.5 = 1599k

k = (In0.5)/1599

k = - 0.0004335

Hence,

y = Ae^-0.0004335t

Amount of radium. After 275 years : t = 275

y = Ae^-0.0004335*275

y = A0.8876191

y = 0.8876191 of intial amount

Hence, 0.8876191 * 100%

= 88.76%

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