<4 and 45 are alternate interior
angles. Find the measure of 4

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given figure

4x + 3° ...(1)

2x + 9° ...(2)

Now, we know that the sum of all angle is 180° on a straight line

So,

4x + 3° + 2x + 9° = 180°

6x + 12° = 180°

6x = 180° - 12°

6x = 168°

x = 168° ÷ 6

x = 28°

Thus, The value of x is 28°

4x + 3° + 2x + 9° = 180°

4(28) + 3° + 2(28) + 9° = 180°

112° + 3° + 56° + 9° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation: Sorry if this doesn't help....

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

To know more about a test analysis follow

https://brainly.com/question/22516544

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Answer: #7  x=16  #9 x=27

Step-by-step explanation:

#7

This is an isosceles triangle, so the angles formed at the base of the congruent sides are equal.

5x-7=8x-55

48=3x

16=x

#9

This is an equilateral triangle (if 2 angles are 60, the third has to be 60 as well) so the sides are equal

7x+19=11x-89

108=4x

27=x

Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used 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 = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]

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

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Answer:

$9.03

Step-by-step explanation:

Using x for pay rate

63.24=7x Divide both sides by 7

x=9.03

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3

Answer:

113 degrees

its really hard to explain it on this app

Answer:

[tex]24[/tex]°

Step-by-step explanation:

its a straight line so the total is 180, so we subtract from 180

180-156= 24

Answer:

triangle and cylinder is your answer

Answer:

Independent events occur when the outcome of one event does not affect the outcome of the second event. Rolling a four has no effect on tossing a head. To find the probability of two independent events, multiply the probability of the first event by the probability of the second event.

Other answer:

A compound event is the combination of two or more simple events (with two or more outcomes). Compound Probabilities (with more than one outcome (desired result) within a trial ): • The probability of rolling an even number less than 5 on a die. (

Answer:

Step-by-step explanation:

[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

Answer:

C or A

But I pick A

Step-by-step explanation:

Answer:

best option is A

Step-by-step explanation:

Answer:

a=41.2

Step-by-step explanation:

a^2 + (30)^2. =51^2

a^2+900=2601

-900. -900

a^2= +\- square root 1701

a=41.243181

a=41.2

Step-by-step explanation:

Distance = Speed x Time

Given Distance = 40km/h or kph

Time = 5 hours 15 minutes

=

[tex]5 \frac{15}{60} \\ = 5 \frac{1}{4} \\ = 5.25hours [/tex]

Distance Travelled = 40 kph x 5.25 hours

= 210km

Step-by-step explanation:

1. 1/-[infinity] = 0

2. 0 - [infinity] = -∞

3. 0[infinity] = 0

4. [infinity][infinity] = IND

5. 0−[infinity] = -∞

6. [infinity]−[infinity] = ∞

7. [infinity]−e = ∞

8. 1[infinity] = ∞

9. π−[infinity] = -∞

10. π[infinity] = ∞

11. 1 −[infinity] = -∞

12. [infinity]1 = ∞

13. [infinity]−[infinity] = ∞

14. 0/[infinity] = IND

15. [infinity]0 = 0

16. 00 = 0

17. 10 = 10

18. 1 - [infinity] = -∞

19. [infinity]/0 = DNE

20. inf - inf = ∞

Answer:

3c + 43 >_ 100

Step-by-step explanation:

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

Answer:

Step-by-step explanation:

so brh

Answer:

Area of a circle = PI * radius^2

Area = 3.14 * 9^2

Area = 3.14 * 81

Area = 254.34 square feet

Step-by-step explanation:

Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

4,38 * 10⁴ = 4,38 * 10 000 = 43 800

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

Answer:

2.04

Step-by-step explanation:

To find this we have to subtract 15 from both sides.

15 + z = 17.04

-15        -15

z = 2.04

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements