Which of the following pairs of triangles are similar?

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

Answer:

B choice

Step-by-step explanation:

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

Answer: b) the slope of the line will change from positive to negative

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

a) 94°

Step-by-step explanation:

shape is a 5-sided polygon, known as a pentagon

number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.

Therefore there are 540° altogether.

add all like terms for all five angles:  24x - 12 = 540

                                                             24x = 552

                                                               x = 23

m∡P = 4(23) = 2

         = 92 + 2

          = 94°

Answer:

134

Step-by-step explanation:

You must add the angles together:

67+67=134

Answer:

134

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

To find the answer you would need to do 2400 divided by 80 which = 30

Hope this helped :)

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

[tex]54[/tex] feet

Step-by-step explanation:

Length of the flower bed [tex]=15[/tex] feet.

Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.

So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.

To find the length of the fencing, we need to find the perimeter of the flower bed.

Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]

So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.

Hence, [tex]54[/tex] feet of fencing is required for the flower bed.

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

Answer:  .13

Step-by-step explanation:

63/100=0.63

5/10=0.50

=.13

I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

Answer:

11/9

Step-by-step explanation:

5/9 + 4/6 = 11/9

Answer:  sixty six fifty fourths  

30/54 + 36/54 = 66/54

Step-by-step explanation: Find a common denominator

Here, it looks like we can multiply the 9 × 6 to get 54

Then we divide the original denominator into the common denominator, then multiply the numerator by the quotient to get an equivalent fraction to add.

Starting with the 5/9   54÷9 = 6   The quotient, 6 multiplies by the numerator 5

6 × 5 = 30  That is the new numerator.

30/54 is the equivalent fraction for 5/9

Now 4/6   54÷6 = 9   Multiply this quotient, 9 times the numerator 4

9 × 4 = 36  That is the new numerator

36/54 is the equivalent fraction for 4/6

Add the numerators of the equivalent fractions keep the denominator the same:

30/54 + 36/54 = 66/54

It is possible to simplify this process. 4/6 is equivalent to 2/3 or 6/9

We could add  5/9 + 6/9 to get 11/9

66 and 54 are both divisible by 6, so 66/54 can be simplified to 11/9 or the mixed number 1²/₉

Answer:

y=-4+5x

Step-by-step explanation:

To get y by itself you need to move the -10x to the other side, to do that you need to add 10x on both sides

2y-10x+10x=-8+10x

Simplify and you will get 2y=-8+10x

Now divide everything by 2

2y/2=-8/2+10x/2

Simplify and you will get y=-4+5x

Answer:People often use the terms free enterprise, free market, or capitalism to describe the economic system of the United States. A free enterprise economy has five important characteristics. They are: economic freedom, voluntary (willing) exchange, private property rights, the profit motive, and competition.

Step-by-step explanation:

Answer:

Property rights are social institutions that govern the ownership, use and disposal of resources, goods and services.

Allied to the property rights is freedom of enterprise which is another basic feature of a market economy. Freedom of enterprise means that everybody is free to engage in whatever economic activity he pleases. In other words, he is free to choose to work in any industry he likes or adopts any occupation or trade he desires.

No individuals would work and save if adequate incentives are not provided to them in the form of wages and interest respectively. Similarly, the firms will not produce goods and services and bear risk of losing money if sufficient incentives are not given to them. Profits are earned from undertak­ing the task of producing goods and services and introducing new products and new techniques of production. Profits earned by the firm depend on prices of goods and services produced and cost incurred.

In ordinary speech the word market means a place where buyers and sellers meet to buy and sell goods. In economics, market has a wider meaning and is interpreted to mean any arrangement that enables buyers and sellers to exchange things; they may contact each other through telephone, fax or direct computer link to negotiate prices of goods they buy and sell. In our above example, rational and self-interested consumers and profit-maximizing firms contact each other through any media and buy and sell things on the negotiated price.

Answer:

x=5/26

Step-by-step explanation:

5/2x+2=3.5

5/2x+2=3×5

5/2x=15-2

5/2x=13

5=26x

5/26=x

x=5/26

hope this help if you want a better explanation I'll explain in the comments or something

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

Step-by-step explanation:

360/2 = 180

therfore it has 180 sides

Answer:

The distance travel during race is 13 m

Step-by-step explanation:

Answer:

Its the First One

Step-by-step explanation:

For every 2 offense cards, he owns 4 defense cards. The first graph is correct.

Brainliest are appreciated :)

Answer:

$40

Step-by-step explanation:

Let y represent the amount of money that Byron earned mowing the neigbours's lawn.

Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4

Them he spent $6 on porpcon and drinks; which means that the total amount spent

= y/4 + 6

The amount left would be

y - (y/4 + 6) = y - y/4 - 6

When he went home, he had $24.00 left which means that;

y - y/4 - 6 = 24

y - y/4 = 24 + 6

3y/4 = 30

Cross multiply

3y = 120

y = $40

Therefore, Byron earned $40 mowing the neighbour's lawn.

Answer:

40 give him brainliest

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]).  For a line to be parallel to another, it must have the same slope.  The slope of the line given is 2/3.  Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex].  Then, because the line passes through -6, 6, plug those values in for x and y, respectively.  [tex]6=\frac{2}{3} *-6+b[/tex]

[tex]6=-4+b[/tex]

[tex]10=b[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A

Hope it helps :D

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Answer:

m = 0

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]

Hope this helps

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(65,−16)

Equation Form:

x=65,y=−16

Step-by-step explanation:

Hey there!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

Answer:

2 = 3.5 0.=3.2

Step-by-step explanation:

hope it helps

Answer:

the answer is b

Step-by-step explanation:

bc they are not both equivalent.

The pair (B) is not equivalent after using the property of logarithm option (B) is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

The expression is given in the options.

As we know, the expression can be defined as the combination of constants and variables with mathematical operators.

It is required to find the equivalent pairs:

A) In(x) = y and [tex]\rm x = e^y[/tex]

As we know from the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]

Again using the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are not equivalent.

C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]

Using the property of exponent we can write the above expression:

The pairs are equivalent.

D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

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Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

Answer:

68

Step-by-step explanation:

Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.