The two triangles are similar. There are two possible values of x. Work out each of these values. State both assumptions you make in your working. You must state which two triangles you are assuming to be similar.

Answer:

$3,270

Step-by-step explanation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 3000(1 + (0.18 × 0.5)) = 3270

A = $3,270.00

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.

Answer:

You do not count the zero to the left of the decimal

Step-by-step explanation:

That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157

Your answer is correct, 0.000157 is 1.57x10^-4

Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.

To find the midpoint, we must take the sum of both values and then divide by two.

In this case, our values are -6 and 14

-6 + 14 = 8

8 / 2 = 4

B is located at 4 on the number line.

Answer:

6+3

Step-by-step explanation:

Answer:

D and E are correct

Step-by-step explanation:

Here, we want to select the set of values which could be the values of the sides of triangle z.

What we want here are sets of values which is a direct scale up value of the sets of values of triangle M:

We proceed as follows;

a. 8, 11 and 14.

This cannot be correct

Looking at the values of M, 4,7 and 10; We can see that while 4 and 7 are directly scaled up by factor 2 to give 8 and 14, by correspondence, 10 should be 20 and not 11 as in this case.

B. 10, 7.5 and 25

This cannot be correct too. Looking at the way 4 and 10

are scaled up by a value of 2.5; then the value of 7 should be scaled by 2.5 too, but 2.5 * 7 is not 7.5, so this cannot be correct

C. 6 , 9 and 11

This is not correct. In fact, we cannot identify a pattern between these numbers and their values before scaling up

D 6, 10.5 and 15

This looks correct. We can see that the values of triangle M if multiplied by 1.5 each can give these

4 * 1.5 = 6

7 * 1.5 = 10.5

and 10 * 1.5 = 15

e. 8, 14 and 20

Multiplying the sides of triangle M by 2, we can get these values.

4 * 2 = 8

7 * 2 = 14

and 10 * 2 = 20

The scale up value here is simply 2

Answer:

actually it's B, E, and D. At least that's what I got and it said it was correct.

Step-by-step explanation:

Answer:

8 meters

Step-by-step explanation:

56 / 7 = 8

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

Step-by-step explanation:

27 = x + 3x +5x

27 = 9x

3 = x

Board 1: (3)(1) = 3 inches

Board 2: (3)(3) = 9 inches

Board 3: (3)(5) = 15 inches

Length of the first piece is 3 inches

Length of the second piece is 9 inches

Length of the third piece is 15 inches

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

According to the problem,

∴ Length of the second piece = 3x inches

∴ Length of the third piece = 5x inches.

Now, all these pieces will add up to 27 inches.

∴ x + 3x + 5x = 27

⇒ 9x = 27

⇒ x = 3

Length of the first piece = 3 inches

Length of the second piece = (3 x 3) inches = 9 inches

Length of the third piece = (5 x 3) inches = 15 inches

Find more about "Simple Equations" here: https://brainly.com/question/847634

#SPJ2

Answer:

It is a rational number

Answer:

Rational

Step-by-step explanation:

6.458 is rational because it is not repeating or infinite.

Answer:

13

Step-by-step explanation:

this is because you have to look for the most common number

Answer:

42

Step-by-step explanation:

(4 +3) ×(7-1) =

7 ×6 =

42

Answer:

find the radius of the base

find the area of the base

find the height of the cone

divide by three at the end

Step-by-step explanation:

this is from the formulae of volume of the cone

1/3πr2h

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

Answer:

√

36

=

6

lies between consecutive odd integers  

5

and  

7

.

Step-by-step explanation:

"The" square root of  

36

is itself an integer, namely  

6

, since  

6

2

=

36

. So it does not lie between consecutive integers.

It does lie between consecutive odd integers  

5

and  

7

.

Note that  

36

has another square root, namely  

−

6

, since  

−

6

satisfies:

(

−

6

)

2

=

36

[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]

[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex]     (adding the second equation to the first one)

[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]

Answer:

60

Step-by-step explanation:

cuz i know

Answer:

thats right

Step-by-step explanation:

Answer:

c= 2.2

Step-by-step explanation:

assuming your solving for c

2c-2.6=1.8 first isolate c by adding 2.6 on both sides

2c= 4.4 now divide both sides by 2

c= 2.2

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]

then I simplified them

[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]

[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]

[tex]-4k + 36 = 0\\[/tex]

[tex]4k = 36[/tex]

[tex]k = 9[/tex]

when k = 9, the two distances are equal

Answer:

9.4

Step-by-step explanation:

Answer:

If X is -5 then the answer is -30 but if it is X minus 5, the answer is X-30

Answer:

x-30

Step-by-step explanation:

Area of a rectangle is

length x width

l x w

[tex]x-5 * 6 = x-30[/tex]

Answer:

Step-by-step explanation:

it will be 10

The number of miles is 7 1/2 miles option (A) is correct if Tyler rode his bike 43 1/8 miles in 5 3/4 hours

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Tyler rode his bike 43 1/8 miles in 5 3/4 hours.

Let d is the number of miles Tyler ride his bike per hour

43 1/8 miles in 5 3/4 hours

345/8 miles in 23/4 hours

d miles in 1 hour

345/8 = 23d/4

345/2 = 23d

d = 345/46

d = 322/46 + 23/46

d = 7 1/2 miles

Thus, the number of miles is 7 1/2 miles option (A) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer: X = 5

Step-by-step explanation:

solve by multiplying the inside ( )

4x -24 = -4

add 24 to both sides

4x = 20

divide by 4

x = 5

Answer:

4. x = 50

5. x = 5

Step-by-step explanation:

For question 4:

For question 5:

Answer:

4) x= -50

5) x= 5

Step-by-step explanation:

Number 5

Simplifying

-3x + -2 = -17

Reorder the terms:

-2 + -3x = -17

Solving

-2 + -3x = -17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -3x = -17 + 2

Combine like terms: -2 + 2 = 0

0 + -3x = -17 + 2

-3x = -17 + 2

Combine like terms: -17 + 2 = -15

-3x = -15

Divide each side by '-3'.

x = 5

Simplifying

x = 5

Number 4

x/5+7 = -3 // + 3

x/5+3+7 = 0

1/5*x+10 = 0 // - 10

1/5*x = -10 // : 1/5

x = -10/1/5

x = -50

x = -50

Answer:

Swan85 is incorrect. Here is the correct answer.

The required graph of the line y = 2x -3 has been attached.

The equation of a line is typically written in slope-intercept form, which is:

y = mx + b

Where:

"y" represents the y-coordinate of a point on the line.

"x" represents the x-coordinate of the same point on the line.

"m" represents the slope of the line.

"b" represents the y-intercept of the line (where the line crosses the y-axis).

In this form, "m" and "b" are constants that determine the position and orientation of the line.

Here,

The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.

Based on this graph, the graph of the line y = 2x -3 has been attached.

Learn more about the equation of the line here:

https://brainly.com/question/21511618

#SPJ7

Answer:

[tex]-\sqrt{79}[/tex] ;; irrational

0.253 ;; rational

0.412 ;; rational

[tex]\sqrt[3]{83}[/tex] ;; irrational

Step-by-step explanation:

ywww gl mann!