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2 years ago

PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!

Mathematics

1 answer:

Goryan [66]2 years ago

6 0

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

Given
Definition of rectangle.
Definition of rectangle.
By SAS Congruence Theorem.
By CPCTC.

<h3>What is a Rectangle?</h3>

A rectangle is a quadrilateral.
All four angles in a rectangle are right angles.
The opposite sides of a rectangle are parallel and congruent to each other.

Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.

In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

Given
Definition of rectangle.
Definition of rectangle.
By SAS Congruence Theorem.
By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

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Please help me, i will give you brainliest

True [87]

Answer:

Step-by-step explanation:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

JN* NK = LN * NM

3x = 2*6

3x = 12

Divide by 3

3x/3 =12/3

x =4

6 0

3 years ago

The sides of a right triangle are x, x+21, and x+27. what is the length of the hypotenuse

mina [271]

Answer: 51 uinits

The three numbers are x , x + 21 and x + 27.
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.

----------------------------------------------
Pythagoras Theorem
----------------------------------------------

a² + b² = c²

x² + (x+21)² = (x+27)²

x² + x² + 42x + 441 = x² + 54x + 729

x² - 12x -288 = 0

(x - 24)(x + 12) = 0

x = 24 or x = -12 (rejected, length cannot be negative)

----------------------------------------------
Find hypotenuse
----------------------------------------------
Hypotenuse = x + 27 = 24 + 27 = 51 units

-----------------------------------------------
Answer: 51 units
----------------------------------------------

3 0

3 years ago

Read 2 more answers

9(n+3)=7n-3 Help Me Find "X"

Y_Kistochka [10]

9(n+3)=7n-3

1) distribute 9 into (n+3)

9n+27=7n-3

2) subtract 7n on both sides

2n+27=-3

3) subtract 27 on both sides

2n=-30

4) divide by 2

n=-15

8 0

2 years ago

Read 2 more answers

50 random teenagers were asked how many hours a day they use their phone. They spent an average of 7 hours a day with a standard

tatyana61 [14]

Answer:

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

Step-by-step explanation:

We have the standard deviation of the saple, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2\frac{1.3}{\sqrt{50}} = 0.4$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

4 0

2 years ago

Math IIIB Performance Task: Piecewise-Defined Functions

meriva

9514 1404 393

Explanation:

a) see the attachment for a graph (red curve)

b) The piecewise defined function can be ...

$\displaystyle C(x)=\begin{cases}0&0\le x\le 1\\5&1$

c) The new cost function is ...

$\displaystyle C(x)=\begin{cases}10&0\le x\le5\\x+5&5$

The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.

_____

<em>Additional comment</em>

Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.

7 0

2 years ago