Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?

9514 1404 393

Answer:

  E.  37

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary:

  (4x -2)° +34° = 180°

  4x = 148 . . . . . . . . . . . divide by °, subtract 32

  x = 37 . . . . . . . . . . . . . divide by 4

Answer:

12.50k

Step-by-step explanation:

I came to this answer as k is the number of hours, and 12.50 is how much per hour.

Answer:

[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Step-by-step explanation:

From the figures given, ∆ABC and ∆DEF have an included corresponding angles measuring 30° each (<C and <F), and also a given corresponding side length of 9 in each (side AC and side DF). The other given as am expression, and hence the length is unknown. For these two ∆s to be considered congruent, using the SAS Triangle Congruence Theorem, we must have two sides and an included angle of ∆ABC equal to the corresponding sides of and an included angle of ∆DEF.

We already know that 1 of the given side corresponding side lengths are equal and also the include angles are equal, to find out what value of x that will make both unknown corresponding lengths equal, in other for the SAS to be true, set 2x equal to (x + 4) to solve for x.

Thus:

2x = x + 4

Subtract x from both sides

2x - x = 4

x = 4

Substituting x = 4 into 2x and x + 4 will give us equal lengths of 8 in respectively. Therefore, if x = 4, both triangles will be congruent based on the SAS Triangle Congruence Theorem.

The answer is:

[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Answer:

Yes, the two equations are equivalent.

Step-by-step explanation:

For the first equation, we will solve for x.

2x + 4 = 10

Subtract 4 from both sides...

2x + 4 = 10

      -4    -4

It then becomes

2x = 6

Then we divide by 2 on both sides.

2x = 6

2     2

Then the answer is...

x = 3

Now let's also solve for x on the second equation.

3x + 6 = 15

Subtract 6 on both sides to get x alone...

3x + 6 = 15

      -6    -6

Then it is..

3x = 9

Lastly, divide by 3 on both sides...

3x = 9

3     3

Then it becomes

x = 3.

Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.

Answer:

$0.50 per topping

Step-by-step explanation:

x + 2t = 3.99

x + 4t = 4.99

x + 2t = 3.99

2t = 3.99 - x

t = 1.995 - 0.5x

x + 4t = 4.99

x + 4(1.995 - 0.5x) = 4.99

x + 7.98 - 2x = 4.99

7.98 - x = 4.99

-x = -2.99

x = 2.99

t = 1.995 - 0.5(2.99)

t = 1.995 - 1.495

t = 0.50

The rate per toppings is given by the equation A = $ 0.50

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of the toppings be represented as A

Now , the equation will be

The cost of 2 toppings = $ 3.99

So , 2A = 3.99   be equation (1)

The cost of 4 toppings = $ 4.99

And , 4A = 4.99   be equation (2)

Subtracting equation (1) from equation (2) , we get

4A - 2A = 4.99 - 3.99

On simplifying the equation , we get

2A = 1.00

Divide by 2 on both sides of the equation , we get

A = $ 0.50

Therefore , the value of A is $ 0.50

Hence , the cost of one toppings is $ 0.50

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Answer:

5x-1

Step-by-step explanation:

(2x–5)° + 45° = 180° (sum of consecutive interior angles

=> 2x + 40 = 180

=> 2x = 180– 40

=> x = 140 /2

=> x = 70

The required value of the x is 70 in the measures of the angle.

Given that Line m and n are parallel lines and intersect by a transversal line l.

When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.

From the sum of consecutive interior angles we have;

(2x–5)° + 45° = 180°

2x + 40 = 180

2x = 180– 40

x = 140 /2

x = 70

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Answer:

The distance is 5 square root of 5, or if it asks in decimal form it would be 11.180.

Step-by-step explanation:

To find the distance between any points, you must use the distance formula. When you plug in the points given, you end up with 11.180. I hope this helps!

Answer: liters

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Since

5 : 225 = 1 : X

Then we know

225/5 = X/1

Multiplying both sides by 1 cancels on the right

1 × (225/5) = (X/1) × 1

1 × (225/5) = X

Then solving for X

X = 1 × (225/5)

X = 45

Therefore

5 : 225 = 1 : 45

Answer:45

Step-by-step explanation:well all you do is divide 5 from 225

Answer:

k = 3

Step-by-step explanation:

8k - (6k - 4) = 10

8k - 6k + 4 = 10

2k + 4 = 10

2k = 10 - 4

2k = 6

k = 3

Answer:

k=3

Step-by-step explanation:

8k-(6k-4)=10

Multiply everything inside of the parentheses by the negative.

8k -6k -4=10

Combine like terms

2k - 4 = 10

Subtract 4 from both sides

2k = 6

Divide by 2 on both sides

k-3

Answer:

6x - 2

Step-by-step explanation:

f(2x) = 3(2x) - 2

f(2x) = 6x - 2

Answer:

I think it is   ---->  m = 3

Step-by-step explanation:

Answer:

f/373 = 294

Step-by-step explanation:

Answer:

There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.

Step-by-step explanation:

Answer:

There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.

Step-by-step explanation:

Answer:

B is the answer

Answer:

Angle A = 65 degrees, Angle B = 78 degrees

Step-by-step explanation:

Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!

Answer: ∠A = 65° ∠B = 78°

The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.

180 = (2x-9) + (2x+4) + x (combine the like terms)

180 = 5x - 5 (isolate 5x by moving -5 to the other side)

5x = 180 + 5

5x = 185 (divide both sides by 5 to isolate for x)

x = 37°

Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.

∠A = (2x-9) = 2(37)-9 = 65°

∠B = (2x+4) = 2(37)+4 = 78°

∴ ∠A = 65° and ∠B = 78°.

Answer:

Step-by-step explanation:

40s=40×2=x

14t=14×1=y

40s=80

x=80

14t=14

y=14

Answer:

1) 1

2) 1

3) 5/6

4) 3/10

5) 5/6

6) 2/7

7) 3/8

8) 5/14

Simplify

3 /6 − 1/ 7 =

3 /6 − 1 /7 =

3 /6 + −1 /7 =

1 /2 + −1 /7 =

7 /14 + −2 /14 =

7+−2 /14 =

5 /14

(Decimal: 0.357143)

9) 2/9

10) 2/21

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer: A-

Step-by-step explanation:

Answer:

Its B edg

StartFraction StartStartRoot 2 minus StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edge

hope this helped! :D

Answer:

1975....?

Step-by-step explanation:

3.860x10^3 - 1.885x10^3

We develop an equation for the given situation by first writing the general equation for lines,

                                y = mx + b

Substituting to this given the values given above,

(1990)                      430 = b

(2000)                      400 = m(10) + 430

The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,

                              y = -3x + 430

Answer:

d.  2050

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

27 Inches

Step-by-step explanation:

Answer:

8^20 / 2^8

Step-by-step explanation:

when it is raised. you multiply it.

Answer: Calculating miles, calculating burned calories, and finding out your target heart rate.

Step-by-step explanation:

Answer:

Angles, the circumference of the wheel, and ratios for the gears

Step-by-step explanation:

Without these, a bike can't function.

Answer:

Step-by-step explanation:

f(-2) = 4(-2) + 10 = -8 + 10 = 2

answer is C

Answer:

-3/4 I think do

Answer:

To add or subtract two like fractions, simply add or subtract the numerators and put the result over the common denominator, so your answer is 0.08333333333

Step-by-step explanati