How do I know the difference between where the points of transformations are?

RS=2x-8, ST = 11, RT = x+10

ziro4ka [17]

Answer:

$Equation~=~\Large\boxed{2x+3=x+10}$

$x~=~\Large\boxed{7}$

$RS~=~\Large\boxed{6}$

$RT~=~\Large\boxed{17}$

Step-by-step explanation:

Given information

$RS=2x-8$

$ST=11$

$RT=x+10$

Derived expression from the given information

Presumably, I think this is a combination of segments

$RS+ST=RT$

Substitute values into the given expression

$(2x-8)+(11)=(x+10)$

Combine like terms

The following is the expression

$\Large\boxed{2x+3=x+10}$

Subtract 3 on both sides

$2x+3-3=x+10-3$

$2x=x+7$

Subtract x on both sides

$2x-x=x+7-x$

$\Large\boxed{x=7}$

Substitute the x value into corresponding expressions to determine the final value

$RS=2x-8=2(7)-8=14-8=\Large\boxed{6}$

$RT=x+10=(7)+10=\Large\boxed{17}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

A babysitter earns the same amount per hour. She earned $36 for 3 hours of babysitting. Which equation describes the relationshi

Brilliant_brown [7]

Answer:

y= 12x

Step-by-step explanation:

36/3=12

12× x =y

________________________

6 0

3 years ago

Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indica

natka813 [3]

Answer:

a)x₁ = 24 business owners plan to provide a gift this year

b) p-value = 0,0017

c)p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion p₁ = 30 % p₁ = 0,3

Then x₁ = 80*0,3

x₁ = 24 business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis H₀ p₁ = 0,45

Alternative Hypothesis Hₐ p₁ < 0,45

p₁ = 0,3 then q₁ = 1 - 0,3 q₁ = 0,7

z(s) = ( p₁ - 0,45 )/ √p₁* q₁ / n

z(s) = - 0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find p-value = 0,0017

c) If α = 0,05 ( significance level ) as

p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease

6 0

3 years ago

The city plans to extend the Wildflower Tral to make it 2 ½ times its current length in the next 5 years. How long will the Wild

Sloan [31]

Answer: 5¹⁵/₁₆

Step-by-step explanation:

The Wildflower Trail is currently 2³/₈ miles long.

If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;

= 2³/₈ * 2¹/₂

= 19/8 * 5/2

= 95/16

= 5¹⁵/₁₆

7 0

3 years ago

A chemist is using 351 milliliters of a solution of acid and water. If 14.1% of the solution is acid, how many milliliters of ac

stepan [7]

49.491 millimeters of acid is present

Solution:

Given that, chemist is using 351 milliliters of a solution of acid and water

14.1% of the solution is acid

To find: Milliliters of acid present

From given statement,

Solution of acid and water = 351 ml

14.1% of the solution is acid, which means that 14.1 % of 351 ml is acid

Therefore,

Milliliters of acid present = 14.1 % of 351 ml

Here "of" means multiplication

Therefore,

$\text{ Milliliters of acid present } = 14.1 \% \times 351$

$\rightarrow 14.1 \% \times 351\\\\\rightarrow \frac{14.1}{100} \times 351\\\\\rightarrow 0.141 \times 351 = 49.491$

Thus 49.491 millimeters of acid is present

6 0

4 years ago