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Lerok [7]
3 years ago
7

Lines p and q are parallel. Parallel lines p and q are cut by transversals s and t. Clockwise from top left, the angles formed b

y p and t are blank, blank, 1, blank; formed by p and s are 96 degrees, blank, blank, blank; formed by q, s, and t, the angles are 66 degrees, blank, 84 degrees, blank, 30 degrees, blank. What is Measure of angle 1?
Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer:

66 degrees

Step-by-step explanation:

jarptica [38.1K]3 years ago
4 0

Answer:

No, she is not correct.

Angle1 and 105° are not alternate exterior angles.

Angle3 and 105° are supplementary.

mAngle3 + 105° = 180°

mAngle3 = 75°

Angle1 and Angle3 are equal because they are alternate exterior angles for the parallel lines.

mAngle1 = 75°

Step-by-step explanation:

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I really need help with these three questions, urgent!
kow [346]

6.

Intersecting chords:

RT x ST = PT x TQ

2 x 6 = 3 x TQ

12 = 3TQ

TQ = 12/3

TQ = 4

7.

AD = 90 -BE = 90-18 = 72

ADE = 180. DE = 180 - AD = 180-72 = 108

AE = 180.  AB = 180-18 = 162

DE = 108

BD = BE +DE = 18 + 108 = 126

DAB = 72 +   162 = 234

ADE = 90 degrees

8.

AB^2 = BC* (BC +x)

8^2 = 2 * (2 +x)

64 = 4 + 2x

60 = 2x

X = 60/2

X = 30

6 0
3 years ago
for what value of the variable the value of the expression 4(5x-8) is 4 more than the value of the expression 2(4-x)
Zigmanuir [339]

Answer:

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

Step-by-step explanation:

Given expressions are;

4(5x-8) and 2(4-x)

For 4 more than the second expression, we will add 4 with second expression.

4(5x-8) = 2(4-x) + 4

20x - 32 = 8 -2x +4

20x + 2x = 12 + 32

22x = 44

Dividing both sides by 22

\frac{22x}{22}=\frac{44}{22}\\x=2

Hence,

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

7 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
Virty [35]

Answer: https://api-project-1022638073839.appspot.com/questions/how-do-you-use-the-sum-or-difference-identity-to-find-the-exact-value-of-sin-255#582997

Step-by-step explanation:

this will help you.

4 0
3 years ago
A researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic
Delvig [45]

Answer:

90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

Step-by-step explanation:

We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.

Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean iron concentration = 0.802 cc/cubic meter

             s = sample standard deviation = 0.093

             n = number of water samples = 27

             \mu = population mean

<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 90% confidence interval for the population mean, \mu is ;

P(-1.706 < t_2_6 < 1.706) = 0.90  {As the critical value of t at 26 degree of

                                                 freedom are -1.706 & 1.706 with P = 5%}

P(-1.706 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 1.706) = 0.90

P( -1.706 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 1.706 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X -1.706 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +1.706 \times {\frac{s}{\sqrt{n} } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X -1.706 \times {\frac{s}{\sqrt{n} } , \bar X +1.706 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 0.802 -1.706 \times {\frac{0.093}{\sqrt{27} } , 0.802 +1.706 \times {\frac{0.093}{\sqrt{27} } ]

                                                 = [0.771 , 0.832]

Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

4 0
3 years ago
At 9:00 pm, the temperature was 45 degrees. By 3:00 am, the temperature dropped to -5 degrees. By how much did the temperature c
muminat
(40-45):45 = .... X 100 = ... %
8 0
3 years ago
Read 2 more answers
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