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Stella [2.4K]
3 years ago
8

PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof provin

g that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor.
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR

Prove:
△RST ≅ △RSQ

Mathematics
2 answers:
hichkok12 [17]3 years ago
4 0
PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor.

Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR

Prove:
△RST ≅ △RSQ

Kayla Funk2 years ago
0 0

Hiiiiiiiiiiii

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A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
f(x)={x+1]^2 Determine for each x-value whether it is in the domain of f or not. (-2 y/n} { -1 y/n} {9 y/n}
kvv77 [185]

Answer:

  all are "yes"

Step-by-step explanation:

A polynomial is defined for all values of x. None are excluded. Every value listed is in the <em>domain</em> of f(x) = (x +1)².

4 0
3 years ago
The opposite of - |9| is
aleksklad [387]

Hello from MrBillDoesMath!

Answer:   +9

Discussion:

The opposite of a number is that number multiplied by -1. In our case the opposite number is  (-1) *  (- (abs(9))) = -1 * (-9) = +9

Thank you,

MrB


3 0
2 years ago
Read 2 more answers
The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, wha
daser333 [38]

Answer:

57 cm²

Step-by-step explanation

<em>l = length</em>

<em>w = width</em>

<em>p = perimeter</em>

<em />

<em>(5x - 1) = length</em>

<em>(11 - 2x) = width</em>

<em>44 = perimeter</em>

<em />

<em>Formula for the perimeter of a rectangle:</em>

<em>l + l + w + w</em>

<em>2l + 2w = p</em>

<em />

<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>

<em></em>

<em>2(5x - 1) + 2(11 - 2x) = 44</em>

<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>

6x + 20 = 44

6x = 24

x = 4

<em>Plug x = 4 back into the length and width.</em>

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

<em>Area for a rectangle: Length × Width = Area.</em>

<em>19 × 3 = 57 cm²</em>

<em>This is all in cm so answer with cm²</em>

5 0
3 years ago
Find the value of c that completes the square for x2+12x+c .
maw [93]
The answer is =x2+c+12x
4 0
3 years ago
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