Which of the following is in reduced form?

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

Answer:

a) 11.4

Step-by-step explanation:

cos42=0.74

d²=c²+a²-2caCosD

d²=17²+13²-2×17×13×Cos42

d²=17²+13²-328.47

d²=289+169-328.47

d²=458-328.37

d=√129.63

d=11.4

The length of AC is 11.4 cm and the length of BC is 30.9 cm after solving through trigonometric ratios.

Trigonometric ratios deal with the sides and angles in a right angled triangle. sin, cos, tangent ,cosecant ,secant and cotangent are trigonometric ratios.

ABC and ACD are triangle,

The value of AC will be:

According to cosine formula:

[tex]AC^{2} =AD^{2} +AC^{2} -2AD*AC*Cos D.[/tex]

[tex]AC^{2} =17^{2} +13^{2} -2*17*13* cos 42[/tex]

[tex]AC^{2} =[/tex]289+169-328.47

[tex]AC^{2}[/tex]=129.52

AC=11.4 cm

The value of BC will be as under:

using the sine rule

BC/sin A=CA/sin B=AB/sinC

BC/sin76=11.4/sin 21=AB/sin83

from the first 2 in equal to form

BC/sin 76=11.4/sin 21

BC=30.9

Hence the length of AC=11.4 cm and BC=30.9 cm.

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Step-by-step explanation:

diameter=20/2,radius=10

circumference of circle=2×pi×radius

circumference of circle=2×3.14×10

circumference of circle=62.8

Answer:

405 calories

Step-by-step explanation:

All we have to do is:

9 × 45

I hope this helps!

Answer:

20000÷20= the amount you need for the income price is 16000

Answer:

Step-by-step explanation:

Operating Income=$44,500−$2,500=$42,000.

So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence

Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.

Answer:

3/4 / 1/6

keep the first fraction the same

3/4

flip the second fraction

6/1

change the division to a multiplication it should then read

3/4 X 6/1

now multiply the fractions

3 X 6 = 18

4 X 1 = 4

18/4 this can then be turned into a mixed number.

there are four 4's in 18 with two left over. so it becomes

4 2/4 and simplified 4 1/2.

Answer:

Answering the part about who created the first equation:

There are a lot of different ways to solving cubic equations, but the first one is given by Gerolamo Cardano, who published it, and the equation was created by Scipione del Ferro, an Italian mathematician who was born in 1465. He did not make a lot of other contributions to mathematics, some of his other works were related to the rationalization of fractions with denominators containing sums of cube roots

This equation was called "Cardano's formula", and originally only worked for depressed cubic equations ( x^3 + p*x + q = 0)

But there are variations that can be used for more general cubic equations, of the form:

a*x^3 + b*x^2 + c*x + d = 0.

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Answer:

its 100% JK

Step-by-step explanation:

Answer:

k = -7

Step-by-step explanation:

Given

x² - x - 42 = (x + k)(x + 6)

Required

Find k

x² - x - 42 = (x + k)(x + 6)

Expand the left hand side

x²-7x + 6x - 42 = (x + k)(x+ 6)

Factorize

x(x - 7) + 6(x- 7) = (x + k)(x+ 6)

Further factorize

(x - 7)(x + 6) = (x + k)(x + 6)

By comparison

x + k = x - 7

Subtract x from both sides

k = -7

Answer:

(-5,8)

Step-by-step explanation:

Hope this helps ;)

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm                 All sides of a square are equal

BE = 1/2 BC                  Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2   Perform the sqrs

AE^2 = 400 + 100      Add the terms

AE^2 = 500                Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

A.

[tex]m-1=4\\5-1=4\\\\[/tex]

A - works

B.

[tex]m+4=20\\5+4=9[/tex]

B - does not work

C.

[tex]m-3=8\\5-3=2[/tex]

C - does not work

D.

[tex]22+m=25\\22+5=27[/tex]

D - does not work

E.

[tex]12=m+7\\12=5+7[/tex]

E - works

Answer:

A and E just to make it quick hope this helps

Step-by-step explanation:

Answer:

3748096

Step-by-step explanation:

Answer:surface area is 24

Step-by-step explanation:

Answer:

I think 1.5 i could be wrong is there options?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Congruent are angles that are in identical angles. For example the orange colors are congruent because both of the angles are across each other, and because of them being crossed they are both the same degrees making the congruent, same with the blue but instead of being across eachother they are in the angle to the left of the parallel lines that are the same degrees as well.

Answer:

Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything

Answer: last week she earned $364.

Step-by-step explanation:

Answer:

Would it not be 20?

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.

Answer:

hwope this helps ＼(=^‥^)/’`

Step-by-step explanation:

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%

Answer:

Proved

Step-by-step explanation:

Given

[tex](n+5)^2-(n+3)^2[/tex]

Required

Show that [tex](n+5)^2-(n+3)^2[/tex] is a multiple of 4

Expand each bracket

[tex](n+5)(n+5)-(n+3)(n+3)[/tex]

Open brackets

[tex]n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)[/tex]

[tex]n^2 + 10x + 25 - (n^2 + 6x + 9)[/tex]

Open bracket

[tex]n^2 + 10x + 25 - n^2 - 6x - 9[/tex]

Collect Like Terms

[tex]- n^2 + n^2 - 6n + 10n + 25 - 9[/tex]

[tex]- 6n + 10n + 25 - 9[/tex]

[tex]4n + 25 - 9[/tex]

[tex]4n + 16[/tex]

Factorize

[tex]4(n + 4)[/tex]

Hence, the multiples of [tex](n+5)^2-(n+3)^2[/tex] are [tex]4[/tex] and [tex](n + 4)[/tex]

Answer:

C.

Step-by-step explanation:

Answer:

-6.08 or 6.08

Step-by-step explanation:

Answer:

The third one Edg

Step-by-step explanation: Brainlest plzzz

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

These names account for 9.6% of all U.S. residents.

This means that [tex]p = 0.096[/tex]

8 authors in total.

This means that [tex]n = 8[/tex]

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Answer:

[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

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

For this circle, the center is (5, -9) and the radius is 12. Therefore:

[tex]h= 5 \\k= -9 \\r=12[/tex]

Substitute the values into the formula.

[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]

Distrubute the -1 into the -9.

[tex](x-5)^2+(y+9)^2=(12)^2[/tex]

Solve the exponent.

[tex](x-5)^2+(y+9)^2=144[/tex]

The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144

Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.

Mathematically, the standard form of an equation of a circle is given by;

(x - h)² +(y - k)² = r²

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

(x - 5)² +(y - (-9))² = 12²

(x - 5)² +(y + 9)² = 144

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Answer:

y = 4x + 5

Step-by-step explanation:

3y - 12x = 15

Add 12x to both sides.

3y = 12x + 15

Divide by 3 to isolate y.

y = 4x + 5

Answer:

ACTUALLY IT'S, y=4x-5

Step-by-step explanation:

12x-3y=15                          - Get y alone

-12x   =12x                          

-3y=-12x+15

-3y=-12x+15     - Divide.            

__________

-3           -3

y=12/3x-15/3                  -  Distribute division. Negative over a negative is positive. Positive over a negative is a negative.

y=4x-5     - Reduce fractions.

Answer:

C

Step-by-step explanation: