PLS HELP ME PLEASE
To measure the distance across a lake, a surveyor has taken the measurements shown in the diagram below. Determine the distance across the lake.

Answer:

[tex] 3\frac{1}{3} [/tex]

or

[tex] \frac{10}{3} [/tex]

or

[tex]3.333[/tex]

Step-by-step explanation:

These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.

Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.

Side AC corresponds with DE

Side AB corresponds with BE

Side BC corresponds with BD

So we can use this proportion theorem, or angle bisector theorem

[tex] \frac{ac}{ab} = \frac{de}{be} [/tex]

Plug in the numbers.

[tex] \frac{3}{5} = \frac{2}{x} [/tex]

Cross multiply

[tex]3x = 10[/tex]

[tex]x = \frac{10}{3} [/tex]

As a decimal it equal

[tex]3.333[/tex]

or

[tex] 3\frac{1}{3} [/tex]

Answer:

I think they both are linear

Answer:

Tried my best..... Hope it helps! :)

This.

(20 characters)

Answer:

Quadrilateral

is 4 units

cannot be determined

Step-by-step explanation:

I had the same assignment question on edge question 3

Answer:

Let the ten's digit no. be x and one's digit no. be y.

So the no. will be = 10x+y.

Given : x+y=9-----(I)

9(10x+y)=2(10y+x) ⇒88x−11y=0 -----(II)

On solving I and II simultaneously you will get x=1 and y=8.

Therefore your desired no. is 18.

Step-by-step explanation:

Hope it is helpful.....

Answer:

20%

Step-by-step explanation:

What is 10 as a percentage of 50? 1000 ÷ 50 = 20. Answer: 10 is 20% of 50.

Answer:

1. 5>1 true

2. 1<7 true

3. 2>-1 true

4. -6<-30 false

5. 5>6 false

Step-by-step explanation:

Hope this Helped

Answer:

Step-by-step explanation:

Remark

This is an arithmetic series. Each term differs by 6 from the previous one.

Givens

a1 = 21

d = 6

Formula

a_n = a1 + (n - 1)*d

Sample

Try it.

Let's let n = 3 which we have the answer for.

a_3 = 21 + (3-1)*6

a_3 = 21 + 2 * 6

a_3 = 21 + 12

a_3 = 33

That's exactly what the 3rd term is.

Answer:

a=30

b=15

c=3

d=30

e=10

Step-by-step explanation:

Solve for A first and continue solving for one variable at a time

Answer:

D) 0.2 repeating

Step-by-step explanation:

2÷9=0.2 repeating

Answer:

D

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

4x+6y=60                    y=2

4x+6(2)=60

4x+12=60

4x=60-12

4x=48

x=[tex]\frac{48}{4}[/tex]

x=12

Answer: X= 12

Y= 2

Step-by-step explanation:

[tex]s = 50d + 25[/tex]

[tex]55 = 50d + 25[/tex]

[tex]55 - 25 = 50d + 25 - 25[/tex]

[tex]30 = 50d[/tex]

[tex] \frac{30}{50} = \frac{50d}{50} [/tex]

[tex]0.6 = d[/tex]

Your car would slide a distance of 0.6 feet.

Answer:

you cant see the full picture.

Step-by-step explanation:

Answer: 168 liters

Step-by-step explanation:

From the information given , we are informed that they put out 12 three-and-a-half liter containers and that each of these containers was filled four times during the storm.

The amount of rain that was collected in all goes thus:

Since each container was filled 4 times, the amount filled by each container will be:

= 3 1/2 liters × 4

= 14 liters

Therefore, the total amount for the 12 containers will be:

= 12 × 14 liters

= 168 liters

Answer:

The answers are:

1, 47.04

2, 295.47

hope this helps

Answer:

1) $47.04

2) $295.47

Step-by-step explanation:

1) Add up Transactions:

$16.23 + $22.56 + $8.25 = 47.04

2) Start with the Previous Balance, subtract Payments, add Transactions then add the Finance Charge (from a previous question).

$312.64 - $68 + $47.04 + $3.79 = $295.47

Answer:

V≈ 4.19in³

Step-by-step explanation:

V=4/3 π r³= 4/3 ·π· 1³ ≈4.18879in³

Answer:

a  variety of medical testing equipment.

Step-by-step explanation:

Answer:

c hope this helps if wrong please tell me

Step-by-step explanation:

Answer:

Part A: 12 + x

Part B: 2s + 2

Step-by-step explanation:

First thing you need to know is the difference between an expression and an equation. An expression does not have an equal sign, while an equation does.

To write an expression for Part A, first write the 12 (the amount he got on Saturday). Then, we need to write the addition sign (to find the total amount Bill earned). We don't know how much Bill earned on Sunday, so use any variable (I used x). Because we're writing an expression, do not write an equal sign.

To write an expression for Part B, first write the amount of dogs his friend Steve walked using a variable because we don't know that number (I used the variable s). Then, since Bill walked 2 more than twice as many dogs Steve walked, write the s multiplied by the 2 or just 2s. Now add the addition sign (to find the total amount Bill walked). Add a 2 because Bill walked 2 more dogs than twice as many Steve walked.

Hope it helps!

The expressions formed are 12+x and 2y+2.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Let x be the amount of money Bill earned on Sunday.

He earned $12 on Saturday.

The total amount of money Bill earned is,

=> 12 + x

Let the number of dogs Bill's friend Steve walked is y.

Then the expression for the number of dogs Bill walked compared with Steve is,

=> 2y +2

To know more about Expression

https://brainly.com/question/14083225

#SPJ5

Answer:

that's inequality topic right?

Answer:

3/4x + 5

Step-by-step explanation:

5/8x + 1/2 ( 1/4x + 10) = 5/8x + 1/8x + 5 = 6/8x + 5 = 3/4x + 5

Answer:

the degree of the equation is 1

Answer:

-8x=6x+14-14

-8x-6x=0

-14x=0

X=0/14

X=0

?????

Answer:

X= 0 or Zero

Step-by-step explanation:

Steps To solve this problem... (8 steps)

1) Rearrange terms:

−14 − 8x = −2(−3x + 7)

−8x − 14 = −2(−3x + 7)

2) Distribute:

−8x − 14 = −2−(3x + 7)

−8x − 14 = 6x - 14

3) Add  14 to both sides of the equation:

−8x − 14 = 6x - 14

−8x − 14 + 14 = 6x - 14 + 14

4) Simplify (Add the numbers):

-8x = 6x

5) Subtract  6x from both sides of the equation:

-8x = 6x

-8x - 6x = 6x - 6x

6) Simplify (Combine like terms):

-14x = 0

7) Divide both sides of the equation by the same term:

-14x = 0

-14x/-14 = 0/-14

8) Simplify  (Cancel terms that are in both the numerator and denominator):

X= 0/-14

Hope this Helped! :)

9514 1404 393

Answer:

  -374

Step-by-step explanation:

  f(8) = -8 +6 = -2

  g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187

Then the product is ...

  (g•f)(8) = g(8)•f(8) = 187·(-2)

  (g•f)(8) = -374

Answer:

Cost of 20 boxes = RS. 188

Step-by-step explanation:

Given:

Length of box = 30 cm  = 0.3m

Width of box = 40 cm = 0.4 m

Height of box = 50 cm = 0.5 m

Cost per m² = Rs. 10

Find:

Cost of 20 boxes

computation:

TSA of box = 2[lb + bh + hl]

TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]

TSA of box = 2[0.12 + 0.2 + 0.15]

TSA of box = 0.94 m²

Cost of 20 boxes = 0.94 x 20 x 10

Cost of 20 boxes = RS. 188

Answer: 42.50m + 37.75

Step-by-step explanation:

28+14.50m = 42.50m

24.50+13.25m = 37.75m

So the answer is, 42.50m + 37.75m

Three minus D over 5 = 6.

Hope this helps -_

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

k

=

3

+

√

177

12

,

3

−

√

177

12

Decimal Form:

k

=

1.35867789

…

,

−

0.85867789

…

Step-by-step explanation