What’s the slope of the line?

option B is the answer.

B)B'(3,-7)

Answer:

116.67 m

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.

From the image attached:

∠A = ∠C = 90° (right angled triangle).

∠ABE = ∠CBD (vertically opposite angles are equal to each other)

The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:

Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:

BC / AB = CD / AE

BC = 140 m, AB = 30 m, AE = 25 m

substituting:

140 / 30 = CD / 25

CD = (140 / 30) * 25

CD = 116.67 m

The width of the canal = CD = 116.67 m

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

I learnt this in 7th grade.

Answer:

The perimeter of ΔABC is 43 units

Step-by-step explanation:

An illustrative diagram is shown in the attachment below.

To find the perimeter of the triangle, we will first determine the length of the unknown sides.

First, we can determine /BC/ using the Sine rule

From Sine rule

[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]

∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]

In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]

m∠A=60° and m∠C=45°

∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]

[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]

[tex]/BC/ = 6\sqrt{6}[/tex]

To find /AC/, will first determine m∠B

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

60° +m∠B + 45° = 180°

m∠B + 105° = 180°

m∠B = 180° - 105°

m∠B = 75°

Also, using the sine rule

[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]

From the diagram, [tex]b = /AC/[/tex]

[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]

[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]

[tex]/AC/ = 6 + 6\sqrt{3}[/tex]

Now,

The perimeter of ΔABC = /AB/ + /BC/ + /AC/

= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]

= 43.09 units

≅ 43 units

Hence, the perimeter of ΔABC is 43 units.

Answer:

Using the figure above, if AB = RT and ∠R = 70°, then ________.

ΔABC ~ ΔRTS

m ∠ S = 50°

ΔABC ≅ ΔRTS

m ∠ S = 60°

Step-by-step explanation:

Answer:

265 miles per 6 hours

Step-by-step explanation:

Multiply 55 by 1, 2, 3, 4, 5 and so on, to get the speed per each of those hours.

55 x 2 = 110 miles per 2 hours

55 x 6 = 330 miles per 6 hours

55 x 7 = 385 miles per 7 hours

55 x 10 = 550 miles per 10 hours.

Answer choice b (265 miles per 6 hours) is not equivalent to 55mph.

I hope this helps!

Answer:

87˚

Step-by-step explanation:

Since they have equal angles we can make this equation:

3x + 57 = 8x + 7

5x = 50

x = 10

now we can substite x back into one of the equations

8x + 7

8(10) + 7

80 + 7

87

Answer: The explanatory variable goes in the horizontal axis.

Step-by-step explanation:

The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).

Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.

Then the correct answer would be C: /.

This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.

And also there are some cases where in order to make the graph easier to read, we do not use the explanatory variable in the horizontal axis, instead, we may use some transformation or something alike, but those are really special cases.

Answer:

oc

Step-by-step explanation:

m n

Answer:

5y and 8x

Step-by-step explanation:

Answer:The answer is 14x-25=115    (B)

Step-by-step explanation:

he bought a certain amount of shirts, each being 14 dollars. So 14(how ever many shirts)- 25(the coupon) = Sales price

Answer:

b. 14x-25=115

Step-by-step explanation:

14 dollars each and 25 discount

the "each" here means the cost per cloth is 14, and total cost of the clothes Marco buy will increase depend on the amount of clothes.

Thus, it is 14x

The 25 discount represent that NO MATTER how many clothes Marco purchase, he only gets a discount of 25.  It is a independent value.

Total clothes bought - discount = total amount of money spent.

Thus, it is 14x-25=115

Answer:

502.4 in²

Step-by-step explanation:

Area of a sphere = 4 πr²

Plastic beach balls are spherical in shape.

Hence, the Area of a sphere = 4πr²

Where r = radius = 2 inches

π = 3.14

Hence, the area of one spherical ball =

4 × 3.14 × 2²

= 50.24 square Inches

For 1 spherical ball, 50.24 square inches of plastic is needed to make it.

How many square inches of plastic does the company need to make 10 beach balls?

Therefore,

1 spherical ball = 50.24 in²

10 spherical balls = x

Cross Multiply

x = 10 × 50.24 in²

x = 502.4 in²

Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.

Answer:

a

Step-by-step explanation:

on edge

it isnt reasonable estimate. 6.8 is about 7 and 5.2 is about 5, and 7+5=12, not 11

Step-by-step explanation:

L = 56 + 4(D)

L = 56 + 4(34)

L = 56 + 136

L = 192

Total length of the road after 34 days is 192 miles

hope it helps you

Answer:

what what 7-Eleven would 7th you have

Answer:

8 3/4

Step-by-step explanation:

time for all work:

Mother - 5 hours

Mother + Sandy + Allen - 2.5 hours

Mother + Allen - 3.5 hours

Sandy - x

In 1 hour

Mother - 1/5

Mother + Sandy + Allen - 2/5

Mother + Allen - 2/7

Sandy - 1/x

(M+S+A) - S = (M+A)

2/5 - 1/x = 2/7

solve equation

x = 8 3/4 hours

Hope this helps :)

The number of hours that Sandy took to decorate the house by herself will be 8.75 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

At the point when Sandy and Allen's mom designs the house for a vacation without help from anyone else, it requires her 5 hours. At the point when both Sandy and Allen help, the three can complete the task in 2.5 hours. At the point when just Allen assists his mom with finishing, it requires two 3.5 hours.

Let 'M', 'S', and 'A' be the number of hours of mother, Sandy, and Allen. Then the equations are given as,

M = 5                                                 ...1

1/M + 1/S + 1/A = 1/2.5                       ...2

1/M + 1/A = 1/3.5                               ....3

From equations 2 and 3, then we have

1/3.5 + 1/S = 1/2.5

1/S = 1/2.5 - 1/3.5

1/S = 4 / 35

S = 35/ 4

S = 8.75 hours

The number of hours that Sandy took to decorate the house by herself will be 8.75 hours.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

It would be zero.

Step-by-step explanation:

Let's for example look at this list : 123456789

The mean is 5, and the median would also be 5.

Answer: B

Step-by-step explanation:

Since the 3 on the outside of the parenthesis is positive, none of the signs change on the inside of the parenthesis when you distribute the 3.

Answer:

The answer is B)

[tex] \frac{3}{5} x - \frac{3}{7} [/tex]

Answer:

True

Step-by-step explanation:

the distance divides

Answer:y=-2x+6

Step-by-step explanation:

You want to find the equation for a line that passes through the point (4,-2) and has a slope of -2.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -2. So you can right away fill in the equation for a line somewhat to read:

y=-2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-2). When x of the line is 4, y of the line must be -2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-2).

So, why not plug in for x the number 4 and for y the number -2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-2). y=mx+b or -2=-2 × 4+b, or solving for b: b=-2-(-2)(4). b=6.

800

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800

Answer:

8 sides

each interior angle is 135°

Step-by-step explanation:

Answer:

x

7x-6x=x

7-6=1 but instead of putting the one there it would just be x depending on your teacher they'd mark it wrong if you put the 1.

Answer:C. 13/6

Step-by-step explanation:

The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.

Step-by-step explanation:

Answer:

60 in

Step-by-step explanation:

bc he does, bc yeah, and yeah, lol

Answer:

Simple interest of Ben :

[tex] \frac{\$650 \times 3.5\% \times 4years}{100} = \frac{9100}{100} = \$91 \\ [/tex]

Ben earn $91 in 4 years.