HELP PLEASEE 100 POINTS Solve for x and y. Show all work on the whiteboard so you have the option to receive partial credit. Then enter your answers below.

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Work Shown:

Vertical angles are always congruent

(angle A) = (angle B)

(3x-21) = (2x-13)

3x-21 = 2x-13

3x-2x = -13+21

x = 8

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Extra info:

Use this x value to find each angle

angle A = 3x-21

angle A = 3*8-21

angle A = 24-21

angle A = 3 degrees

angle B = 2x-13

angle B = 2*8-13

angle B = 16-13

angle B = 3 degrees

Both angles A and B are 3 degrees, so this confirms the answer.

Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The Vertical angles are always congruent,

(angle A) = (angle B)

(3x-21) = (2x-13)

3x-21 = 2x-13

3x-2x = -13+21

x = 8

Now Use this x value to find each angle;

angle A = 3x-21

angle A = 3*8-21

angle A = 24-21

angle A = 3 degrees

angle B = 2x-13

angle B = 2*8-13

angle B = 16-13

angle B = 3 degrees

Hence Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.

Learn more about angles here:

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#SPJ2

Step-by-step explanation:

The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.

This means the central angle of this sector KNJ is 360-48=312.

Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.

Answer:

b is less than or equal to 0

Step-by-step explanation:

if we replace b with 0, the equation is true. if we take a number less then 0, for example -2, the equation is still true.

Answer:

6b-.6=7b

Step-by-step explanation:

Answer:

[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]

explanation:

[tex]\rightarrow \sf \sqrt[3]{x^{10}}[/tex]

insert -2 as x

[tex]\rightarrow \sf \sqrt[3]{(-2)^{10}}[/tex]

simplify

[tex]\rightarrow \sf \sqrt[3]{1024}}[/tex]

breakdown

[tex]\rightarrow \sf \sqrt[3]{2 * 8^3}}[/tex]

final answer

[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]

→ This a = 8 and b = 2

Answer:

[tex]8\sqrt[3]{2}[/tex]

Therefore, a = 8 and b = 2

Step-by-step explanation:

Substitute [tex]x=-2[/tex] into the expression:

[tex]\implies \sqrt[3]{(-2)^{10}}[/tex]

Apply exponent rule [tex](-a)^n=a^n[/tex] if n is even:

[tex]\implies \sqrt[3]{2^{10}}[/tex]

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

[tex]\implies \sqrt[3]{2^9\cdot2^1}[/tex]

Apply radical rule  [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]

[tex]\implies \sqrt[3]{2^9}\sqrt[3]{2}[/tex]

Apply radical rule  [tex]\sqrt[n]{a^m} =a^{\frac{m}{n}}[/tex]

[tex]\implies 2^{\frac{9}{3}}\sqrt[3]{2}[/tex]

Simplify:

[tex]\implies 2^3\sqrt[3]{2}[/tex]

[tex]\implies 8\sqrt[3]{2}[/tex]

Therefore, a = 8 and b = 2

Answer:

Factorising the equation into brackets can help you identify where the x-intercepts are (where the function cuts the x-axis)

Step-by-step explanation:

When you factorise the equation it would look something like this:

(x + a)(x + b) = 0

This also means:

x + a = 0        and        x + b = 0

x = -a             and        x = -b

Example:

Find where the function y = 2x² + 8x + 6 cuts the x-axis

Factorise the 2 out (highest common factor)

x² + 4x + 3 = 0

(x + 1)(x + 3) = 0

x = -1 or -3

Answer:

Because it can make the problem harder

In maths, if there is a question that has a decimal for example like 33.33333333, then that will make the problem harder to perform, that's why, it's not necessary to take the exact answer for some problems. BUT, IF IT SAYS TO TAKE THE EXACT ANSWER, THEN YOU HAVE TO.

Thanks!

Mark me brainliest!

Answer:

Your answer is 4/5

Step-by-step explanation:

Answer:

12.5% decrease

Step-by-step explanation:

decrease = [(old - new) ÷ old] 100

d = [(24 - 21) ÷ 24]100

d = [3 ÷ 24]100

d = [0.125]100

d = 12.5%

The answer is 12.5                  _ _ _ _

                                             /                                

                                           /

                                  \      /

                                     \/

Answer:

b

Step-by-step explanation:

given 2 chords intersecting , then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

PZ × WP = XP × PY ( substitute values )

14 PZ = 7 × 12

14 PZ = 84 ( divide both sides by 14 )

PZ = 6

Answer: 3, 4, 5

Step-by-step explanation:

(1) False, those two angles added together would be equal to angle 1, not 4.

(2) False. Angles 2, 3, 5 added together would make 180, not 3, 4, 5.

(3) True, an interior angle and its corresponding exterior angle are supplementary.

(4) True by the exterior angle theorem.

(5) True because the angles in a triangle add to 180 degrees

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

Answer:

Step-by-step explanation:

Assume the deep end has a larger volume, the difference in volume between the deep end and shallow end is:

Volume of the deep end - Volume of the shallow end

= (2x^2 + 12x + 10) - (4x^2 - 100)

= (2x^2 - 4x^2) + 12x + 10 + 100

= -2x^2 + 12x + 110 ft^3

Lets subtract

[tex]\\ \tt\Rrightarrow 2x^2+12x+10-(4x^2-100)[/tex]

[tex]\\ \tt\Rrightarrow 2x^2+12x+10-4x^2+100[/tex]

[tex]\\ \tt\Rrightarrow 2x^2-4x^2+12x+10+100[/tex]

[tex]\\ \tt\Rrightarrow -2x^2+12x+110ft^2[/tex]

Answer:

I believe would be 9•3•3=81 I hope that helps

Answer:

The converse is:

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value is:

True

Step-by-step explanation:

The statement can be split into:

p -> If a class has 3 left-handed people and 24 right-handed people,

q -> the ratio of lefties to righties is 1:8

The converse of a conditional statement is:

if q then p

So, we have the converse to be;

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value.

For p, we have.

Ratio = 3 : 24

This can be simplified to.

Ratio = 1 : 8

For q, we have:

Ratio = 1 : 8

Since both are true, then the truth value is true

As it emerges from the cross multiplication performed, the statement is correct.

Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:

Therefore, as it emerges from the cross multiplication performed, the statement is correct.

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The slope's equation is:

 ⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

Since the two points are (-5,86) and (95,16)

 ⇒[tex]slope = \frac{16-86}{95--5} =-\frac{70}{100} =-\frac{7}{10}[/tex]

Thus the slope is -7/10.

Hope that helps!

Answer:

no is the correct answer

Answer:

False

Step-by-step explanation:

The cube of 9 is 729 and 729 is smaller ( not greater ) than 1,000.

HOPE THIS HELPED

Answer:

1 ounce of toppings

Step-by-step explanation:

Answer:

x² + y² = 81

Step-by-step explanation:

Standard form for the equation of a circle:  (x - h)² + (y - k)² = r²

(where (h, k) is the center and r is the radius)

Given:

⇒ (x - 0)² + (y - 0)² = 9²

⇒ x² + y² = 81

Answer:

25x10^6= 25000000

Step-by-step explanation:

25000000

Answer:

Step-by-step explanation:

Given are 2 linear functions

Only their product can produce a quadratic function

So the correct option is

Answer:

197.6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

13[62 ÷ (52 - 42) + 9]

Step 2: Brackets - Parenthesis (Subtract)

13[62 ÷ 10 + 9]

Step 3: Brackets - Division

13[6.2 + 9]

Step 4: Brackets - Addition

13[15.2]

Step 5: Multiply

197.6

Answer:

10

Step-by-step explanation:

2 x 5 = 10, the 1 does nothing to change the answer

Answer:

Its 10 its too easy . why are you asking this type of simple quesrion.

Answer:

so...

1.    3(x+6) = 24

2.   6(x+3) = 24

a)        3(x+6) = 24 is diego juice question

   6(x+3) = 24 is show question

b)     x in equation 1 is 2 because you work the equation backwards and the opposite way,  24/3 then - 6

x in equation 2 is 1 because you work the equation backwards and the opposite way,  24/6 then - 3

sorry but i do not understand question b and c, hope this helps though

Answer: all real numbers!! <3

Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder is given by the formula

pi×h×r^2

IF R IS 8

Volume = 3015.93

IF R IS 15

Volume = 5654.87

Answer:

See attached

Step-by-step explanation:

Refer to attachment

One relation is a linear function

Second one is a graph of non-functional relation

Answer:

below

Step-by-step explanation:

For the first graph, we can use a linear function as it means "straight" lines so when we use the vertical lines test, it passes it (shown below).

We can use a U shaped line so it when we use the vertical line test, it passes through two points to resemble its not a function (shown below).

Best of Luck!

Answer:

181.9 dollars

Step-by-step explanation:

If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

By using identity we got the factorization form of [tex]x^8-16[/tex]  as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]

factorization is a way of writing any expression in form of product of some expressions

Given polynomial

[tex]x^8-16[/tex]

We can factorize it as

[tex]x^8-16\\\\(x^4)^2-4^2\\\\(x^4+4)(x^4-4)\\\\(x^4+4)((x^2)^2-2^2)\\\\(x^4+4)(x^2+2)(x^2-2)\\\\(x^4+4)(x^2+2)(x^2-(\sqrt2)^2)\\\\(x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]

By using identity we got the factorization form of [tex]x^8-16[/tex]  as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]

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Answer:

B.  3x2y(3x2 − 2xy + y2)

Step-by-step explanation:

I just took the test <3

Answer:

32%

Step-by-step explanation:

165/125=1.32

percent change would be 32% because when you add 32 to 100 then divide by 100, you will get the 1.32. and 1.32 is the change in 125 and 165. you would multiply 125 by 1.32 to get 165.