Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100°

Answer:

The given Divisor = 405 and Dividend = 48849

The Quotient is 120 and the Remainder is 249

Hope it helps you

The interest rate is given as follows:

5%.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest accrued is given as follows:

I(t) = Prt.

For each case, the interest accrued is given as follows:

The total interest was of 13,500, hence:

I(3) + I(5) = 13500.

Meaning that the interest rate is obtained as follows:

120,000r + 150,000r = 13500

r = 13500/270000

r = 0.05.

r = 5%.

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Answer:

13(2+3)

Step-by-step explanation:

hope this is correct let me know if you need the steps!

Answer:

The third equation, \(7\frac{1}{2} +m = 4\frac{2}{3}\).

Step-by-step explanation:

In this question, we have to solve the equation for each of the options and after doing so we will see that the only option that will have m equal a positive number is the third option. Here is how we solve that equation:

\(7\frac{1}{2} +m = 4\frac{2}{3} \\m = 4\frac{2}{3} - 7\frac{1}{2}\\m = -2\frac{5}{6}\)  

Answer:

1) 11^42. [. ( a^b)^c is a^bc]

2) 5^5. [a^b/a^c= a^(b-c)

3) 14^24

4) 3^10

x=18.7

Explanation

Step 1

find the length y ( base of the triangle)

we can set an equation

so, we have this triangle

Step 2

solve for x, to find x we can apply the Pythagorean theorem it states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

so

therefore, the answer is

x=18.7

Answer:1/4, 25%

Step-by-step explanation:

even number: 2,4,6

odd umber 1,3,5

even number probability when 1 dice is rolled: 3/6 = 1/2

2 dice is rolled: 1/2*1.2 = 1/4 = 25%

Answer: ooo ok i got it. it is nice

Answer:

Read below

Step-by-step explanation:

They want green

out of all spinner results 3 of them were green

it was spun 40 times total

3/40=0,075 to the nearest hundred is 0,08

3/41=0,0731 to the nearest hundred is 0,07

I'm not sure but it is probably one of these answers

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Hi there!

When two events are independent:

P(E ∩ F) = P(E) · P(F)

Thus:

P(E ∩ F) = 0.15 · 0.48 = 0.072

Answer:

1. rational

2. irrational

3. rational

4. rational. square root of 9 is 3. negative sign implies -1. answer would -3

5. rational

Step-by-step explanation:

pi & square roots of non-perfect squares are irrational numbers

varsitytutors

Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

The expression given is 3c + 5d and the expression when c = 24 and d =25 will be 197.

It should be noted that an expression is simply used to illustrate the relationship between the variables.

In this case, the expression given is 3c + 5d.

Therefore, the expression given is 3c + 5d and the expression when c = 24 and d =25 will be:

= 3c + 5d

= 3(24) + 5(25)

= 72 + 125

= 197

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Complete question:

The expression given is 3c + 5d. Evaluate the expression when c = 24 and d =25.

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

Answer:

B. 25√3

Step-by-step explanation:

Use trigonometric ratio formula to find the length and width of the rectangle

Thus:

✔️Length of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let length of rectangle = x = adjacent side

Therefore:

Cos 30° = x/10

10*cos 30 = x

10*√3/2 = x (cos 30 = √3/2)

5√3 = x

x = length of rectangle = 5√3

✔️Width of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let width of rectangle = y = opposite side

Therefore:

Sin 30° = y/10

10*sin 30 = y

10*½ = y (sin 30 = 1/2)

5 = y

y = width of rectangle = 5

✔️Area of rectangle = length * width = 5√3 * 5 = 25√3

\(f(x)=\cfrac{e^x+1}{e^{x^2} + 1}\implies \cfrac{df}{dx}=\stackrel{\textit{\large quotient rule}}{\cfrac{e^x(e^{x^2}+1)~~ - ~~(e^x+1)\stackrel{chain~rule}{(e^{x^2}\cdot 2x)}}{(e^{x^2} + 1)^2}} \\\\\\ \left. \cfrac{df}{dx} \right|_{x=0}\implies \cfrac{e^0(e^{0^2}+1)~~ - ~~(e^0+1)(e^{0^2}\cdot 2(0))}{(e^{0^2} + 1)^2}\implies \cfrac{2~~ - ~~0}{4}\implies \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill\\\\ f(0)=\cfrac{e^0 + 1}{e^{0^2} + 1}\implies f(0)=\cfrac{2}{2}\implies f(0)=1\)

now, let's simply plug all those guys in the point-slope form for that tangent line at x = 0.

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{1}{2}x+1\)

Answer:

true

Step-by-step explanation:

Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .

Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)

Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .

Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.

So in this case, yes, 0.5 is a rational number.

Answer:

true

Step-by-step explanation:

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Answer:

1. 2.5 ft

2. Yes

3. Yes

Step-by-step explanation:

Theorem:

A segment whose endpoints are the midpoints of two sides of a triangle is parallel to and half the length of the third side.

Let's think of this theorem as it applies to our triangle.

We have triangle GIS. The endpoints of segment WN are the midpoints of sides IS and IG. Therefore, by the theorem above, segment WN is parallel to side SG and half the length of segment SG.

1. W is the midpoint of IS.

IW = WS = (1/2)SI

SI = 5 ft

WS = (1/2)SI = (1/2) × 5 ft = 2.5 ft

Answer: 2.5 ft

2. From the theorem, WN = (1/2)SG

SG = 5 ft

WN = (1/2) × 5 ft = 2.5 ft = 2.5 ft × (12 in.)/(1 ft) = 30 in.

A 36 in. long piece is long enough since WN is only 30 in.

Answer: Yes

3. Yes by the theorem above.

Answer: Yes

Answer:

124.166666667

Answer:

Its approxiamatly 124.166666667 but if your rounding then its 124.

Step-by-step explanation:

745 / 6 = 124

Answer:

sorry I don't know the answer

Answer:

For the equation y=log(x-k), the domain depends on the value of K. Sliding K moves the left bound of the domain interval. The range and the right end behavior stay the same. For the equation y=log x+k, the domain is fixed, starting at an x-value of 0. The vertical asymptote is also fixed. The range of the equation depends on K.

Step-by-step explanation:

ok I can help

we have to fill it in first - so the question is :

-4 + 6(-3)

so now we just solve it

-4 + -18

because 6 times - 3 is -18

then I'm pretty sure u just add -4 and -18 together witch is..

-22

srry I forgot it said -3 but yes this is the answer

Answer:

y - 10 = 5(x - 15)

Step-by-step explanation:

Use the slope formula:

(Y-Coordinate 2) - (Y-Coordinate 1)

divided by

(X-Coordinate 2) - (X-Coordinate 1)

So:

15-10/16-15

=5/1

m=5

Plugging in the x and y values of the first point to the point-slope equation

Y-Y1 = m(X-X1)

we get the answer of

Y-10=5(x-15)

Hope it helped!

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

Answer:

276.

Step-by-step explanation:

you would have to do 90x3=270 then 2 times 3 equals 6 then you should get your answer