The measures of the angles of a triangle are shown in the figure below . Solve for x

Answer:

[tex]a_2=6[/tex]

Step-by-step explanation:

Geometric sequence general formula:  [tex]a_n=ar^{n-1}[/tex]

Given:

Therefore,

[tex]a_1=2 \implies a=2[/tex]

[tex]a_3=2 \cdot r^2=18[/tex]

[tex]a_5=2 \cdot r^4=162[/tex]

To find common ratio r, divide 5th and 3rd terms:

[tex]\dfrac{a_5}{a_3}=\dfrac{2 \cdot r^4}{2 \cdot r^2}=\dfrac{162}{18}[/tex]

[tex]\implies r^2=9[/tex]

[tex]\implies r=\sqrt{9}=3[/tex]

Therefore, geometric sequence formula:  [tex]a_n=2 \cdot 9^{n-1}[/tex]

So second term of sequence:

[tex]\implies a_2=2 \cdot 3^{2-1}=6[/tex]

Answer:

t= 33

Step-by-step explanation:

4(8) +t = 65

32+t=65

t=33

Hope this helps!

Step-by-step explanation:

T = hourly pay (8$)

Y = hours worked

T • Y = 32

65-32 = 33$ in tips

Answer:

It would be cheaper to use the online store

Step-by-step explanation:

the physical store added up to $129.04 and the online store was $128.82.

It would cost less to purchase the items from the physical store.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

To calculate the total cost for each store, we need to take into account the discounts, taxes, and shipping fees.

For the physical store:

Batteries: 2 packs x $5.99/pack = $11.98

Stereo: 1 system x $100.00/system = $100.00

CDs: 3 CDs x $7.95/CD = $23.85

Subtotal: $135.83

After the 10% discount: $135.83 - 10% = $122.25

Sales tax: $122.25 x 5% = $6.11

Total cost: $122.25 + $6.11 = $128.36

For the online store:

Batteries: 2 packs x $4.99/pack = $9.98

Stereo: 1 system x $90.00/system = $90.00

CDs: 3 CDs x $8.95/CD = $26.85

Subtotal: $126.83

After the $5.00 discount: $126.83 - $5.00 = $121.83

Shipping fee: $6.99

Total cost: $121.83 + $6.99 = $128.82

Therefore, it would cost less to purchase the items from the physical store.

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Answer:

Yes! Because they are in proportion: 1x9 = 9, 2x9 = 18 therefore, 1:2 and 9:18 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number. Hope this helped!

Step-by-step explanation:

If you need further help, let me know!

- profparis

Answer: Approximately 8.5 units

Step-by-step explanation:

Substitute M(2, -2) and N(8, 4) for the coordinates in the distance formula and solve for d

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( {8-2 } \right)^2 + \left( {4-(-2)} \right)^2 }[/tex]

[tex]d = \sqrt {\left( {6 } \right)^2 + \left( {6} \right)^2 }[/tex]

[tex]d = \sqrt {\left( {36 } \right) + \left( {36} \right) }[/tex]

[tex]d = \sqrt {72}[/tex]

[tex]d \approx 8.5\hspace2 units[/tex]

Therefore the length of [tex]\overline{MN}[/tex] is approximately 8.5 units

The value of q is 16.

Collinear points are the points which are formed on a straight line, whether they are close or far away.

If three or more points are collinear, then they form on the same line.

The slope of each pair of points will be same.

Here if A, B and C are collinear,

Slope of AB = Slope of BC

(4 - 0) / (7 - 9) = (q - 4) / (1 - 7)

-2 = (q - 4) / -6

q - 4 = 12

q = 16

Hence the value of q is 16.

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5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Step-by-step explanation:

sper ca team ajutat

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and 45° are vertically opposite angles and are congruent , so

∠ 6 = 45°

Answer:

x = 4

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{x}{x+4}[/tex] = [tex]\frac{x+6}{2x+12}[/tex] = [tex]\frac{x+6}{2(x+6)}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 4 ( subtract x from both sides )

x = 4

Answer:

66cm

Step-by-step explanation:

i kniw

Answer:

a), b) and c) are correct.

d) 12g^4h^5

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Answer:

$84.38

Step-by-step explanation:

i did 5.5% of 79.99=4.39

79.99+4.39=84.38

Answer:

5x^2+120x

Step-by-step explanation:

5x(x+24)

Step 1: Use distributive property to expand the expression. Multiply 5x separately  with all the terms inside the bracket.

Step 2: 5x(x) = 5x^2

5x(24) = 120x

Answer: 5x^2+120x

Note: If you need to further solve it, you can factor it.

To Factor;

5x^2+120x

Step 1: Factor out the common: 5x

Step 2: 5x times x = x^2

            5x times 24 = 120x

Therefore,

Factored answer: 5x(x+24)

Hope this helps.

Answer:x=6

Step-by-step explanation:

5x(x+24)=0

5x = x +24

5x - x = x - x + 24

4x = 24

X = 24/4

X = 6

The graph represents a linear function. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of water in gallon after x hours.

The y intercept is (0, 175), hence b = 175.

The line passes through (0, 175) and (7, 0), hence::

Slope = (0 - 175) / (7 - 0) = -25

The equation is y = -25x + 175

The graph represents a linear function in which the equation is linear. The linear feature of the graph shows the point at which the tank ends its draining. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

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Answer: The answer is B:)))

Step-by-step explanation:

It can be the line of best fit because it is close to most data points. 

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

Answer:

The correct answer is x=2

Step-by-step explanation:

The equation of the given line written in slope-intercept form is  y=x-2.

From the given figure, x-intercept of 2.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope is 0

Substitute (x, y)=(2, 0) and m=1 in y=mx+c, we get

0=1(2)+c

c=-2

Put m=1 and c=-2 in y=mx+c, we get

y=x(1)-2

⇒y=x-2

Therefore, the equation of the given line written in slope-intercept form is  y=x-2.

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Step-by-step explanation:

I guess method 1 means to deal with whole factors.

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

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

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

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

Answer:

You times them, its easy.

Step-by-step explanation:

1 times 2 times 3, it will multiply in 6 hours

Answer: The answer is 3211000 :^

Step-by-step explanation: hope this helps

Answer:

The correct answer is 360 - 150 = x

it should be c because the puthagorean theorem is c^2=a^2+b^2 so subtract b^2 to the other side to keep a by itself and then sqare root both sides to get ride of the square on the a

Answer:

Approximately 42 credits

Step-by-step explanation:

First you need to find the amount she makes for one week. Multiply 15 by 20: $375.00

Second find how much she makes for those 25 weeks: 375*25: 65,625

Third according to socialsecurityintelligence.com, in 2021, one credit for each $1,470 of earnings. To a maximum of 4 credit per year.

So for a year she earned 4 credits but not considering the limit, she earned 42.85 credits.

Answer:

x=14

y=7

Step-by-step explanation:

this is a 30-60-90 triangle -- u can tell bc there is a right angle marker (90 degrees) and one angle is 30, so the other angle is 60

in a 30-60-90 triangle,,

the long leg = x√3

short leg = x

hypotenuse (the side opposite the right angle marker) = 2x

since u know the long leg is 7√3, the short leg = 7

and since the hypotenuse is 2x (twice the short leg), 7 times 2 = 14

[tex] \alpha = \frac{3\pi}{4} r {}^{2}[/tex]

[tex] \alpha = \frac{3 \times 3.14}{4} \times (2) {}^{2} [/tex]

[tex] \alpha = 9.42[/tex]

Area=3π if you want it in radians :)

Answer:

are they talking bout how much will you have left then its 0 if they talking but the check its positive

Answer:

3 i think

Step-by-step explanation:

so we substitute -5 to g(x)

g(x) = -4(-5) + 3

= 20 + 3

= 23

now we substitute it to f(x)

f(x) = -2x + 49

= -2(23) + 49

= -46 + 49

= 3

Answer:

3

Step-by-step explanation:

f(x) = -2x + 49

g(x) = -4x + 3

(fºg)(x) = f(g(x)) = -2(-4x + 3) + 49

(fºg)(x) = 8x - 6 + 49

(fºg)(x) = 8x + 43

(fºg)(-5) = 8(-5) + 43

(fºg)(-5) = 3

.

Answer:

10

Step-by-step explanation: You would have to multiply 2 by itself 50 times.

The value of the given expression is 32.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 2⁵

Evaluate using the Power rule:

mⁿ = m *m* m* m* m*m.......n times

Thus, the Value of the expression 2⁵ will be:

2⁵ = 2 * 2 * 2 * 2 * 2

2⁵ = 32

Therefore, The value of the given expression is 32.

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