Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

See picture for full problem. Please and thank you so very much!

Step-by-step explanation:

From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.

Bert and his sister are 4 meters apart.

Answer:

[tex]\tt x=-2[/tex]

Step-by-step explanation:

[tex]\tt -3(x + 5) = -9[/tex]

Step (1) :- Distribute

[tex]\tt -3x-15=-9[/tex]

Step (2) :- Add 15 to both sides

[tex]\tt -3x-15+15=-9+15[/tex]

Step (3) :- Simplify

[tex]\tt -3x=6[/tex]

Step (4) :- Divide both sides by -3:-

[tex]\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}[/tex]

[tex]\tt x=-2\;\; \bf Answer[/tex]

____

[tex] \sf:\implies \quad {\pmb{\sf x = -2}} [/tex]

Let's solve the given problem step by step :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

First, distribute the given problem :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

[tex] \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9[/tex]

Add 15 to both sides :

[tex] \sf:\implies \quad - 3x - 15 = - 9[/tex]

[tex] \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15[/tex]

On simplifying :

[tex] \sf:\implies \quad -3x-15+15 = -9+15[/tex]

[tex] \sf:\implies \quad - 3x = 6[/tex]

Dividing both sides with same factor :

[tex] \sf:\implies \quad - 3x = 6[/tex]

[tex] \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} [/tex]

[tex] \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}[/tex]

Answer:

a. y = 10

b. x = 5 - (5y/2)

c. y = 6x - 11

Step-by-step explanation:

a.

2(y - 3) = 4

2y - 6 = 4

2y = 10

y = 5

b.

2x + 5y = 10

2x = 10 - 5y

x = 5 - (5y/2)

c.

6x + 3y = 4y + 11

6x = y + 11

y = 6x - 11

d.

I don't know this one, sorry.

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

Read more about arithmetic sequence at:

brainly.com/question/6561461

Given data:

1. Determining the range of the line plot:

To determine the range of the data, we need to subtract the biggest value of the data (8) from the smallest value of the data (1).

Thus, 7 is the range.

2. Determining the mode of the line plot:

The mode of the data is the digit that has repeated the most. In this case, the digit "2" has repeated five times and has repeated the most.

Henceforth, "2" is the mode.

Learn more about range and modes:

Answer:

Range = 7

Mode = 2

Step-by-step explanation:

Question (a)

Range = Highest value - Lowest value

           = 8 - 1

           = 7

Question (b)

The mode is the most common value that appears in the data.

From inspection of the line plot, we can see that 2 is the most common value (the value that appears the most in the data set).

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

all the quadrilaterals have acute angles!

Answer:270

Step-by-step explanation:180/2=90

90*3=270

Hope this helps :)

Answer:

270

Step-by-step explanation:

You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270

Answer:

d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

From the question, we have the following parameters:

We start counting from 1023, 1024, 1025, 1026...........

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

Read more about combination at:

https://brainly.com/question/11732255

Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

Answer:

[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

Given

Probability of blue (1st time)

Probability of blue (2nd time)

Probability of blue (both times)

Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)

Step-by-step explanation:

7x^2 - 28x + 7y^2 + 42y - 35 = 0

divide 7 out

x^2 - 4x + y^2 + 6y - 5 = 0

add 5 to other side

x^2 - 4x + y^2 + 6y = 5

solve by completing the square

take b values divide them by 2  square and add to both sides

-4/2 = -2

-2^2 = 4

6/2 = 3

3^2 = 9

X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5

(x - 2)^2 + (y + 3)^2 = 18

(x - k)^2 + (y - h)^2 = r^2

r^2 = 18

r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))

center of circle = (2,-3)

Answer:

2ac + ad + 4ea + 6bc + 3bd + 12be (Simplified)

Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60

Answer:

A and C :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

the top answer should be stretched

The formula that describes the width of the rectangle as a function of length is w = 55 / m.

area of a rectangle = lw

where

Therefore,

area = 55 inches²

length = m

width = w

Hence,

area = mw

55 = mw

divide both sides by m

55 / m = wm / m

w = 55 / m

learn more on rectangles here: https://brainly.com/question/26306126

Answer:

As per Provided Information

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]

On substituting the value we obtain

[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]

Therefore,

Answer:

Never congruent

Step-by-step explanation:

A dilation is a transformation that makes an image that is thr same shape as the original, but a DIFFERENT SIZE.

Congruent shapes means they both have the same shape AND size.

So a dilation of the new image/shape can NEVER have the same shape AND size with the original.

BRAINLIEST?? TY!! :DD

The cost after x years is the initial cost minus the amount of decrease after the duration of x years

Given Data

Let us find 8.5% of $25,399

= 8.5/100*$25,399

= 0.085*25399

= 2158.915

Cost after x years will be

Final cost = 25,399 - 2158.915*x

Learn more about percent decrease here:

https://brainly.com/question/24304697

Answer:

7.888.9999999.758375848

Step-by-step explanation:

yes, yes this is the answer