angle A and angle B are a linear pair. If measure of angle A = 4x-10 and measure of angle B = 3x+43, find the measure of angle A and measure of angle B

Answer:

The answer is C

Step-by-step explanation:

Just got it.

By looking at the graph of the piecewise function, we can see that:

On the graph, we have a piecewise function, which we want to evaluate in some different values.

First we have x  = -0.0001

This value belongs to the interval (-5, 0), and by looking at the graph, you can see that the function on that interval is equal to -9, then:

G(-0.0001) = -9

x = 0

x = 0 belongs to the interval [0, 9). On that interval the function values -1. (x = 0 belongs to that interval because we have a closed dot). Then we conclude

G(0) = -1

x = 0.0001

This value also belongs to the interval  [0, 9)

Then G(0.0001) = -1

Finally, x = 9.

If you look at the domain of the function, you can see that there is an open dot at x = 9.

This means that x = 9 does not belong to that domain, so:

G(9) is not defined.

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m∠ZAB + m∠CAB = 180° by the angle addition postulate

m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem

m∠ZAB = m∠ACB + m∠CBA using the subtraction property

An equation is an expression that shows the relationship between two or more numbers and variables.

m∠ZAB + m∠CAB = 180° by the angle addition postulate

m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem

m∠ZAB = m∠ACB + m∠CBA using the subtraction property

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Answer:

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition.

We know that m∠ZAB + m∠CAB = 180° by the

✔ angle addition postulate

.

We also know m∠CAB + m∠ACB + m∠CBA = 180° because

✔ of the triangle angle sum theorem

.

Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA.

Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the

✔ subtraction property

.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I guess it is the answer because the manager separates the customers into 3 ange groups and randomly selects a sample from each group

Answer:

B. Stratified random sampling

Step-by-step explanation:

Answer:

M=(11,−2)

Step-by-step explanation:

Find the midpoint for [tex]P = \left(6, -9\right)P=(6,-9) \text{and} Q = \left(16, 5\right)Q=(16,5).[/tex]

The midpoint for two points P and Q is a point M whose coordinates is the half-sum of the corresponding coordinates of the two points.

Thus, [tex]M = \left(\frac{6 + 16}{2}, \frac{-9 + 5}{2}\right) = \left(11, -2\right)[/tex]

M=(11,−2)

The vale of x is 54°.

The tangent is defined as a line touching circles or an ellipse at only one point.

We have,

As, the tangent is perpendicular to the radius of the circle.

So, using Angle sum property in a triangle

x+90+36= 180

x+126 = 180

x= 54°

Hence, the value of x is 54°

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Answer:

n = -5

Step-by-step explanation:

Given:

  [tex]\dfrac{y^4 \cdot y^n}{y^2}=y^{-3}[/tex]

Multiply both sides by y²:

[tex]\implies \dfrac{y^4 \cdot y^n}{\diagup \!\!\!\!\!y^2} \cdot \diagup \!\!\!\!\!y^2=y^{-3}\cdot y^2[/tex]

[tex]\implies y^4 \cdot y^n=y^{-3} \cdot y^2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies y^{4+n}=y^{-3+2}[/tex]

[tex]\implies y^{4+n}=y^{-1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies 4+n=-1[/tex]

Solve for n by subtracting 4 from both sides:

[tex]\implies 4+n-4=-1-4[/tex]

[tex]\implies n=-5[/tex]

Answer:

===========

Given equation:

Solve it for n:

===========

Used properties:

Answer:

4.96 dollars

Step-by-step explanation:

20-5.12=14.88

14.88/3= 4.96 dollars

so each pair of socks costs 4.96$

The volume of the cone is V = 381.15 cu.cm

The curved surface area of the cone is given by

A = πrl

The slant height given in the question is

l = 10.5 cm

A = 115.5 sq.cm

radius = ?

Height = ?

Volume = ?

Using the Curved Surface Area Formula

115.5 = π * r * 10.5

taking π = 22/7

r = 3.5 cm

The slant height is given by

[tex]\rm l = \sqrt{ r^2 + h^2}[/tex]

Therefore the height is

[tex]\rm h = \sqrt{ 10.5^2 -3.5^2}[/tex]

h = 9.9 cm

The volume of the cone is

V = π r²h

V = (22/7) * 3.5 * 3.5 * 9.9

V = 381.15 cu.cm

The volume of the cone is V = 381.15 cu.cm

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Answer:33.65

Step-by-step explanation:

6.73 x 5= 33.65

#A

New side

Area

#2

Now it has turned rectangle

Sides

x+12 and x-7

Area

Answer:

A)  (x + 8)² cm² = (x² + 16x + 64)  cm²

B)  (x + 12)(x + 7) cm² = (x² + 19x + 84) cm²

Step-by-step explanation:

Formula

Area of a square = s²  (where s is the side length)

Given side length of square field:

⇒ Area of field = x² cm²

Part A

If the side length of the square field is increased by 8 cm then:

⇒ new side length = (x + 8) cm

Substitute the new side length into the formula for the area of a square:

⇒ Area of field = (x + 8)² cm²

Expand and simplify:

⇒ Area = (x + 8)²

⇒ Area = (x + 8)(x + 8)

⇒ Area = x(x + 8) + 8(x + 8)

⇒ Area = x² + 8x + 8x + 64

⇒ Area = (x² + 16x + 64)  cm²

Part B

If the side length of the square field is increased by 12 cm and the width is decreased by 7 cm then:

⇒ new side length a = (x + 12) cm

⇒ new side length b = (x - 7) cm

Substitute the side lengths into the formula for area of a square:

⇒ Area of a square = s × s

⇒ Area of a square = a × b

⇒ Area of the field = (x + 12)(x + 7) cm²

Expand and simplify:

⇒ Area = (x + 12)(x + 7)

⇒ Area = x(x + 7) + 12(x + 7)

⇒ Area = x² + 7x + 12x + 84

⇒ Area = (x² + 19x + 84) cm²

Answer:

the answer is -1/8

Step-by-step explanation:

Answer: six ways

Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.

The middle number is 16.95

The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers.

Given:

Numbers are 12.7 and 21.2

Difference between number

= 21.2-12.7

=8.5

middle number

= 12.7+ 8.5/2

= 12.7+ 4.25

= 16.95

Hence, the middle number is 16.95.

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The value of the expression (82/n – 26) at n = 2 will be 15. Then the correct options are B, D, E, and G.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.”

She then evaluated the expression when n = 2.

Then the expression will be

⇒ 82 / n – 26

If the value of n is 2, then the value of the expression will be

⇒ 82 / 2 – 26

⇒ 41 – 26

⇒ 15

Then the correct options are B, D, E, and G.

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Answer:

(3,-4)

Step-by-step explanation:

Answer: [tex]k \parallel l[/tex]

Step-by-step explanation:

Lines that are parallel to the same line are parallel.

Answer:

where is  the question  Skidoo

this is just a statement

Answer:

c = 37 mi

Step-by-step explanation:

   To find 'c' use Pythagorean theorem.

 [tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]

                     c² = 35² + 12²

                         =1225 + 144

                        = 1369

                    [tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]

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Answer:  [tex]\textsf{y - 2 = -6/5(x - 0)}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{Slope = -6/5, Goes through (0, 2)}[/tex]

Find:  [tex]\textsf{The equation in point-slope form}[/tex]

Solution: We need to take the values that were given to us and plug them into the point-slope form.  It doesn't seem like the problem is asking for anything more than that so we will leave it at that.

Plug in the values

Since the problem is just asking for the equation in point-slope form the final expression would be y - 2 = -6/5(x - 0).

Answer:

[tex]\sf y - 2 = -\dfrac{6}{5}(x - 0)[/tex]

Step-by-step explanation:

[tex]\sf \large \underline{\textsf{Given:}}\ \textsf{a line with a slope of $-\dfrac{6}{5}$, and a y-intercept of $2$}[/tex]

We're given a y-intercept of 2, but using the slope-intercept form, we can immediately determine that x = 0. Hence, the given point is (0, 2).

Then, we substitute these values into the Point-Slope Form to find the equation.

Here are both forms for future reference:

⇒ Slope-Intercept Form: y = mx + b

[ Where: m is the slope, and b is the y-intercept (when x = 0). ]

⇒ Point-Slope Form: y - y₁ = m(x - x₁)

[ Where: m is the slope, and (x₁, y₁) is a given point. ]

Substitute the values into the Point-Slope Form:

[tex]\sf\\\implies y - y_1 = m(x - x_1)\\\\\implies y - 2 = -\dfrac{6}{5}(x - 0)[/tex]

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Answer:

A)  144 feet

[tex]\textsf{B)} \quad h(t)=16t(6-t)[/tex]

Step-by-step explanation:

Part A

Given polynomial:

   [tex]h(t)=96t-16t^2[/tex]

where:

To find the height of the debris 3 seconds after the explosion, substitute t = 3 into the polynomial and solve:

[tex]\begin{aligned}\implies h(3)& = 96(3)-16(3)^2\\ & = 288 - 16(9)\\ & =288-144\\ & =144 \sf \:\: ft\end{aligned}[/tex]

Part B

To factor the polynomial, rewrite 96 as 6 × 16:

[tex]\implies h(t)=6 \cdot 16t-16t^2[/tex]

Rewrite t² as t × t:

[tex]\implies h(t)=6 \cdot 16t-16t \cdot t[/tex]

Factor out the common term 16t:

[tex]\implies h(t)=16t(6-t)[/tex]

Check

Substitute t = 3 into the factored expression:

[tex]\begin{aligned}h(3) & = 16(3)(6-3)\\& = 16(3)(3)\\& = 48(3)\\& = 144\:\: \sf ft \end{aligned}[/tex]

As the height is 144 ft when t = 3 is substituted into the original polynomial and the factored polynomial, this confirms that the factorization is correct.

a) 26 teenagers are in the group.   21+3+2=26

b) 21 like to drink coffee or tea only.    (3 like both and 2 like neither, so 21 enjoy one or the other)

The square root of 217.05 is 14.73 and the square root of 100.2001 is 10.01.

It should be noted that square root is factor of a number that when multiplied by itself will give the original number.

In this case, the square root of 217.05 is 14.73 and the square root of 100.2001 is 10.01.

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The inverse of the given function is y = x³ + 2

Given the radical function below expressed as;

f(x) = ∛x-2

This can be written as;

y = ∛x-2

Replace y with x

x = ∛y-2

Take the cube of both sides

x³ =y - 2

y = x³ + 2

Hence the inverse of the given function is y = x³ + 2

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Answer:

[tex]f^{-1} (x)=x^{3} +2[/tex]

Step-by-step explanation:

from plato

Answer:

(-4, -3)

(-4,3)

(4,3)

The clock wise rotation of the coordinate will be

(3,4)

(3,-4)

(-3,-4)

(-3,4)

Answer:

(-4,3)

Step-by-step explanation:

starting at  -3 , 4

   rotate clockwise 90°    this will change (x,y ) to   (y ,-x)

   doing this 3 times   results in

      4,3      then     3, -4      then    -4,-3       so the answer is (-4,3)

Answer:

See below

Step-by-step explanation:

If you can't tell just by looking at them, you will need to convert them all to fractions of a common denominator .....in this case (the smallest) common denominator would be 18

1/2 = 9/18  

1/3 = 6/18

1/6 = 3/18

4/9 = 8/ 18             so now you can see least to greatest is

                                    1/6    1/3    1/2   4/9

Answer: