All categories

3 years ago

Use the number line below, where RS=5y+5, ST=2y+5, and RT=52. a. What is the value of y? b. Find RS and ST.

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

You might be interested in

Select all of the rational numbers. (there can be more than one)

nadya68 [22]

Answer:

Rational numbers:

3^-1
pi
6.66... (The one that has a line above it)

An irrational number has endless non-repeating digits to the right of the decimal point.

7 0

3 years ago

Read 2 more answers

Help??????????????? Uh yeet

dybincka [34]

Answer:

C 117

Step-by-step explanation:

<2 = 63 vertical angles

<2 = <4 alternate interior angles

<4 + <7 = 180 straight line

63 +<7 = 180

subtract 64 from each side

<7 = 180-63

<7 = 117

8 0

3 years ago

Read 2 more answers

Analyzing quadrilaterals & drawing figures

zimovet [89]

Ok so... what wait weres the pic??

5 0

3 years ago

You’re given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. H

ch4aika [34]

Answer:

C.2

Step-by-step explanation:

7 0

3 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

Use the number line​ below, where RS=5y+5​, ST=2y+5, and RT=52. a. What is the value of​ y? b. Find RS and ST.

Use the number line below, where RS=5y+5, ST=2y+5, and RT=52. a. What is the value of y? b. Find RS and ST.