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3 years ago

Use the diagram to complete the proof by filling in the blanks. Picture is attached

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

Step-by-step explanation:

From the question attached,

Given:

RT and PQ intersect at a point S.

RS = PS and ST = SQ

To prove :

RT = PQ

Statements Reasons

1). RS = PS and ST = SQ 1). Given

2). RS + ST = PS + SQ 2). Addition property

3). RS + ST = RT ; PS + SQ = PQ 3). Pair of line segments

4). RT = PQ 4). Substitution property

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Answer the question in the picture

Svet_ta [14]

<h3>Answer:</h3>

left picture (bottom expression): -cot(x)
right picture (top expression): tan(x)

<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

$\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}$

and ...

$\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}$

6 0

3 years ago

Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.

dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

PS² = 656 + 25

PS² = 681

PS = 26.09

PS = 26

7 0

3 years ago

A software company decided to conduct a survey on customer satisfaction. Out of 564 customers who participated in the online sur

nikklg [1K]

Answer:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=564 represent the sample selected

X=51 represent the number of people who rated the overall services as poor

$\hat p=\frac{51}{564}=0.0904$ estimated proportion of people who rated the overall services as poor

$p_o=0.1$ is the value to compare

z would represent the statistic

Hypothsis to analyze

We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

The statistic for a one z test for a proportion is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

And the p value since we have a bilateral test is given b:

$p_v =2*P(z$

3 0

3 years ago

Some help with this pleaseee!

lakkis [162]

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

6 0

2 years ago

What are the first and last deciles of the standard Normal distribution?

aliya0001 [1]

My best Guess is

1.282 for upper . , -1.282 for lower.

Hope this Helps

-Dante

5 0

2 years ago