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lilavasa [31]
3 years ago
14

What is the length of ST? Please explain your answer

Mathematics
1 answer:
Aliun [14]3 years ago
4 0
We know that

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)

so

ST²=RT*QT

RT=7 in

QT=23+7-----> 30 in

ST²=7*30-----> 210

ST=√210-----> 14.49 in


the answer is

RT=14.49 in

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Given: PRbisects ZQPS, PQ = 12units, and PS= 12units
Ganezh [65]

Answer:

Use SAS to show that triangles PRQ and PRS are congruent.

Step-by-step explanation:

Since PR bisects angle QPS, angles QPR and SPR are congruent. By reflexive property of congruence, PR is congruent to itself. Since PQ is congruent to PS, we can use SAS to show that the two triangles are congruent. By CPCTC, QR is congruent to SR.

3 0
2 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
4 years ago
Show work please i will give brailiest show work pls
Crank
1. 2-1+5x4x11
5x4=20
2-1+20x11
20x11=220
2-1+220
2-1=1
1+220=221

2. 14/2-1+3
14/2=7
7-1+3
7-1=6
6+3=9

3. 3x8x2-42+5
3x8=24
24x2-42+5
24x2=48
48-42+5
48-42=6
6+5=11
5 0
3 years ago
Ezra deposited $30 in a savings account earning 10% interest, compounded annually.
lyudmila [28]

Answer:

$36.00

Step-by-step explanation:

10% of 30 is 6. Add that to the original amount

5 0
3 years ago
Figure B is a scale image of Figure A, as shown. What is the scale factor applied to
CaHeK987 [17]
Figure B is 2.8 times larger than figure A. Figure A was multiplied by 2.8 to make figure B
4 0
3 years ago
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