Given k Is parallel to l, what can you conclude about these triangles? Check all that apply. Vertical angles prove Angle1 Is congruent to Angle4. Alternate exterior angles prove Angle5 Is congruent to Angle3. Angle5 and Angle3 are alternate interior angles. The ratios of the corresponding angles are equivalent. The triangles are similar because all corresponding angles are congruent.

The two negatives cancel out when we divide or multiply. Think of negative as opposite. Having two opposites cancel.

The slash means fraction and it also means division

6/7 = 6 divided by 7

6/7 = six sevenths

So that allows us to go from fraction to decimal form 6/7 = 0.857 approximately after using your calculator or long division.

Answer:

You end up with $15,091.44 This means you earned $12,531.44

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

Divide 30 by 5 to get the width of the first painting, 6 feet. Divide 24 by 6 to get the length of the second painting, 4 feet.

Hopefully this helps- let me know if you have any questions!

Answer:

12,600

Step-by-step explanation:

Answer:

12,600

Step-by-step explanation:

700 x 18 = 12,600

Answer:

14/81

Step-by-step explanation:

you plug in 5 for x

Answer:

33

Step-by-step explanation:

The bottom angle is a completely straight line, and that means the angle is 180 degrees.

180 - 81 = 99

So, this means 3x = 99. We need to isolate the variable, so we have to divide everything by 3.

x = 33

Answer:

waaait i know how to do this lol ( i feel like this is correct)

x = 33

Step-by-step explanation:

so a line is 180 right?

so make the equation like this

180 = 81 + 3x

now solve for x by doing algebra

(minus both sides by 81)

3x = 99

x = 33

Answer:

uh i think is uh carrot

Step-by-step explanation:

Answer:

64cm

Step-by-step explanation:

Answer:

let the integers be n, n+2 and n+4

5(n+4) = 2(n + n+2) +42

5n +20 = 4n +4+42

n = 46 -20 = 26

Step-by-step explanation:

I think

Answer:

the answer should be $994.5

The balance after 5 year comes out to be $3552.80

Compound interest is the interest on savings that is computed using both the original principal and the interest accrued over time. It will accelerate the growth of a sum more quickly than simple interest, which is only applied to the principal sum.

Here,

The declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly.

Thus rate= 3.4% and principle amount = 850

Therefore it is compounded quartely,

The balance after year=

[tex]C=Pe^{rt}[/tex]

[tex]C= 850 e^{3.5(5)}\\\\C= 850 e^{17.5}[/tex]

C = 3552.80

Therefore, the balance after a year comes out to be $3552.80

Therefore the balance comes out to be after compounded annually is

$3552.50

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Answer:

51

Step-by-step explanation:

3(b+8)

3(9+8)

3(17)

51

Answer: f(x) = 61(3.5)^x

Step-by-step explanation:

This is what the variables always mean in the function:

a = initial value

b = growth factor

x = time

Then, you just plug them in! Hope this helps.

Answer:

D.

Step-by-step explanation:

f(x) = 5x+40

f(-5) = 5(-5)+40

f(-5) = -25+40

f(-5) = 15

The number that needs tο be added tο cοmplete the square is 90.25.

In algebra, a quadratic equatiοn is any equatiοn that can be rearranged in standard fοrm as where x represents an unknοwn value, and a, b, and c represent knοwn numbers

Tο cοmplete the square fοr the quadratic equatiοn x² - 19x + 23 = 0, we need tο add a number that is equal tο half οf the cοefficient οf x (which is -19) squared.

Sο,

(-19/2)² = 90.25

Therefοre, we need tο add 90.25 tο bοth sides οf the equatiοn:

[tex]x^2 - 19x + 23 + 90.25 = 90.25[/tex]

Then we can rewrite the left side as a perfect square:

[tex](x - 9.5)^2 = 90.25[/tex]

Now we can take the square root of both sides to solve for x:

x - 9.5 = ±√(90.25)

x = 9.5 ± 9.5√(2)

Hence, the number that needs to be added to complete the square is 90.25.

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Answer: 90.25

Step-by-step explanation:

Answer:

not sure if there are more but a=-5

Step-by-step explanation:

|a+5|=-5-a

|-5+5|=-5 - - 5

|-5+5| = -5 + 5

| 0 | = 0

0=0

Answer:

5-5=0+5=5 so the answer is five

Check the picture below.

Coordinates of point D of parallelogram = (3 , -4)

A parallelogram is quadrilateral in which opposite angles are equal and opposite sides of the quadrilateral are equal and parallel to each other.

The Diagonals in the parallelogram bisect each other.

Given points

A(-4,-6), B(-10, -10), C(-3, -8)

Let the 4th point D = (x , y)

In a parallelogram, diagonals bisect each other.

midpoint of BD = midpoint of AC

If two points are (x₁ , y₁) and (x₂,y₂)

then midpoint = {(x₁+x₂)/2 , (y₁+y₂)/2}

midpoint of AC = {(-4 + -3)/2 , (-6 + -8)/2}

                         = {-7/2 , -7}

midpoint of BD = {(-10 + x)/2 , (-10 + y)/2}

Now,

midpoint of BD = midpoint of AC

{-7/2 , -7} =  {(-10 + x)/2 , (-10 + y)/2}

Comparing both sides

taking x -coordinate

(-10 + x)/2 = -7/2

Multiplying with 2 on both sides

-10 + x = -7

x = 3

taking y -coordinate

(-10 + y)/2 = -7

Multiplying with 2 on both sides

-10 + y = -14

y = -14 + 10

y = -4

Point D (x , y) = (3, -4)

Hence, (3, -4) are the coordinates of point D of parallelogram.

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Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

Answer:

4.3989

Step-by-step explanation:

bec we will do 3.999 +10% and this should give us the right answer

Answer:

(-6, -3) => Quadrant III

(0, 3) => y-axis

(5, -4) => Quadrant IV

(-7, 6) => Quadrant II

Step-by-step explanation:

If x and y values given, use this key to find which quadrant the point lies in.

(x , y) =

The given points :-

Answer:

1.28

is the answer :) since the number after 7 is 5 you round up

Answer: 1.28

The 7 is in the hundredth's place, and since there is a 5 after it, we round up.

Answer:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. ... The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

The number of bags of sand needed to fill the sandbox is 18 bags

Volume = L × W × H

= 4 1/2 × 4 × 1/2

= 4.5 × 4 × 0.5

= 9 ft³

Number of bags of sand needed to fill the sandbox = volume of the sandbox ÷ quantity of each bag

= 9 ft³ ÷ 1/2 fr³

= 9 × 2/1

= 18 bags

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[tex]\longrightarrow[/tex]In a matrix the the the position of an element is determined by using a[tex]_{ij}[/tex] where i the number of row and j is number of column in which the element is.

[tex]\leadsto[/tex]Since 6 is in 2nd column and 2nd row , it's position can be written as a[tex]_{22}[/tex]

Comparing with a[tex]_{ij}[/tex]

Answer:

I believe the answer is 1/2

Step-by-step explanation:

4*3=12+2=14,14/3

1*3=3+1=4

14/3+4/3=18/3 divided by 2=6/3 simplified to 1/2

I got the 6/3 by dividing 18 by 2 and 3 by 1

Answer:

4

Step-by-step explanation:

If you know what Pemdas is then you must do dividing first.

1 1/3 divided by 2 is 2/3. 4 and 2/3 minus 2/3 equals 4.

Hope this helps. :)

Answer:

11 & 13 or - 13 & - 11

Step-by-step explanation:

Let the integers are a - 1 and a + 1.

Sum of squares = 290

=> (a - 1)² + (a + 1)² = 290

=> a² + 1² - 2a + a² + 1² + 2a = 290

=> 2a² + 2 = 290

=> 2(a² + 1) = 290

=> a² + 1 = 290/2 = 145

=> a² = 145 - 1 = 144

=> a = ± √144 = ± 12

If a = + 12, numbers are

12 - 1 = 11 & 12 + 1 = 13

If a = - 12, numbers are

- 12- 1 = - 13 & - 12 + 1 = - 11

Answer:

232423

Step-by-step explanation:

Answer:

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

z = number of quarters

Total worth of the coins = $41.45

Total number of coins = 361

x + y + z = 361 (1)

dime = $0.1,

nickel = $0.05

quarter = $0.25

0.05x + 0.1y + 0.25z = 41.45 (2)

twice as many dimes as quarters.

y = 2z

Substitute y = 2z into (1) and (2)

x + 2z + z = 361

0.05x + 0.1(2z) + 0.25z = 41.45

x + 3z = 361

0.05x + 0.2z + 0.25z = 41.45

x + 3z = 361 (3)

0.05x + 0.45z = 41.45 (4)

Multiply (4) by 20

x + 3z = 361 (3)

x + 9z = 829 (5)

Subtract (3) from (5)

9z - 3z = 829 - 361

6z = 468

Divide both sides by 6

z = 468 / 6

= 78

z= 78

Recall,

y = 2z

= 2(78)

= 156

y = 156

Substitute the value of y and z into

x + y + z = 361

x + 156 + 78 = 361

x + 234 = 361

x = 361 - 234

= 127

x= 127

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Answer: 80 m, 150 m, 170 m

Step-by-step explanation: