Let’s say that in these congruent triangles, the length of side AB in the first triangle is 6 feet. What is the length of side DE in the second triangle?

The system of equations has two distinct equations

The solution to the system of equations is (-2,-1)

The system of equation is given as:

y = 2x + 3

And

y = 3x + 5

Start by plotting the graphs of the equations

From the graph (see attachment), we have:

(x,y) = (-2,-1)

Hence, the solution to the system of equations is (-2,-1)

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Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

Answer:

80%

Step-by-step explanation:

4/5 as a percentage would be 8/10ths, or 80%

By multiplying the fraction to get a denominator of 10, you get 8 over 10. Therefore it would be 80 percent of 100.

Answer:

See below, please

Step-by-step explanation:

Volume

[tex] = (x + 12) \times (x + 3) \times 2x[/tex]

[tex] = ( {x}^{2} + 15x + 36) \times 2x[/tex]

[tex] = 2 {x}^{3} + 30 {x}^{2} + 72x[/tex]

Answer:

I am not sure but it may be 48 cm².

Answer:

correct answer is

A = 32

B= 24

Answer:

6

Step-by-step explanation:

4 units x 3 units = 12 units / 2 to get a triangle

Answer:

70%

Step-by-step explanation:

94/135 = x/100
x= (94/35)*100
x= 9400/3500
x= 1880/27
x=69.629
rounded to the nearest whole percent, x=70

The statement his friend’s statement  is not accurate. The percent increase will be more than 2% is correct.

We have the average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012.

An average value is defined as the sum of all the values divided by the total number of values in a given data.

Therefore we get,have ion industry  average hourly earnings, 2000-2009 a line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009,

where the x-axis shows years and the y-axis shows average hourly earnings of production workers.

line starts at 17.2 on january 2000, slowly increases to 19.7 on january 2006, then increases more quickly to 20.5 on january 2007 and 22.4 on january 2009

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

Therefore from the given data line starts

17.2 on january 2006

20.5 on janury 2007

22.4 on janury 2009

It seems that The option B is correct.

Therefore,his friend’s statement  is not accurate. The percent increase will be more than 2%.

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Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

Answer:

C. [tex]1\frac{2}{10}[/tex]

Step-by-step explanation:

[tex]\frac{30}{100}+\frac{9}{10}=\frac{30}{100}+\frac{90}{100}[/tex]

[tex]\frac{30}{100}+\frac{90}{100}=\frac{120}{100}[/tex]

[tex]\frac{120}{100}=1\frac{20}{100}[/tex]

[tex]1\frac{20}{100}=1\frac{2}{10}[/tex]

Explanation:

[tex] \frac{300}{100} + \frac{9}{10} [/tex]

[tex] \frac{30}{10} + \frac{9}{10} [/tex]

[tex] \frac{3 + 9}{10} [/tex]

[tex] \frac{3 + 9}{10} = \frac{12}{10} [/tex]

Cross out common factors.

[tex] \frac{6}{5} [/tex]

Answer:

[tex]1 \frac{2}{10} [/tex]

Hope this helps.

Answer:

2 x 3 x 7

Step-by-step explanation:

How to find Prime Factorization of 42? Prime factorization of a number is breaking that number down into the set of prime numbers which multiplied together is equal to the original number So great job you already knew the answer

Answer:

I think it is  2 x 3 x 7. 2 x 3 x 7 = 42 2 x 3 x 7

Step-by-step explanation:

2 x 3 x 7. 2 x 3 x 7 = 42 2 x 3 x 7 = 42 hope this helps if not please let me know

Answer:

1/5

Step-by-step explanation:

because 3/5*1/3=1/5

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Answer:

1.10 x 108.

Step-by-step explanation:

Answer:

P = 72 ft

Step-by-step explanation:

the perimeter P is the sum of the 3 sides.

Tangents to a circle from an external point are congruent , then

side 24 = 15 + 9

side 21 = 9 + 12

Third side = 12 + 15 = 27 ft

P = 24 + 21 + 27 = 72 ft

Answer:

[tex]\sf 343\dfrac{3}{4} \ mi[/tex]

1 inch = 125 miles

[tex]\rightarrow \sf 2\dfrac{3}{4} \ * \ 125[/tex]

[tex]\rightarrow \sf \dfrac{11}{4} \ * \ 125[/tex]

[tex]\rightarrow \sf \dfrac{1375}{4}[/tex]

[tex]\rightarrow \sf 343\dfrac{3}{4} \ mi[/tex]

Answer:

Option A

Step-by-step explanation:

Given:

To avoid confusion, let's convert 2 3/4 into decimals. To convert a fraction into decimals, multiply and divide the fraction by 100.

⇒ (2 3/4 x 100)/100 = (11/4 x 100)/100 = (1100/4)/100 = 275/100 = 2.75

Now, multiply 2.75 to both sides of the equation "1 inch = 125 miles", as we need to find the actual distance of 2.75 inches

⇒ 1 inch = 125 miles

⇒ 1 × 2.75 = 125 × 2.75

⇒ 2.75 inches = 343.75 miles

The options given are in fraction form. So, we need to reconvert 343.75 into fraction form. Once again, multiply and divide the decimal by 100.

⇒ (343.75 × 100)/100 = (34375)/100

We can clearly tell that this is a mixed fraction because 34375 is greater than 100. To convert this fraction into mixed fraction, let's write the expanded form of this fraction.

⇒ (34375)/100 = 34000/100 + 300/100 + 75/100

⇒ (343 x 100)/100 + 75/100

⇒ 343 + 75/100 = 343 + 3/4

⇒ 343 3/4 miles (Option A)

Answer:

Rounded to the tenth: 3.7

Hope this helped!

Answer:

the answer is a

Step-by-step explanation:

3.7

Answer:

Step-by-step explanation:

3) Opposite sides of a parallelogram are parallel

4) Alternate interior angles theorem

5) Reflexive property

6) ASA

Answer:

Constructing geometric figures means with the help of a compass, protractor and a scale with accurate measurement.

Drawing may just be drawing rough figures with no accurate measurement

Answer:

When you are constructing, you use tools like a compass, ruler, and protractor vs when you draw you don't use a tool, you free hand it.

Step-by-step explanation:

A geometric construction is a set of steps to create geometric figures using just a straightedge and a compass without using formal measurements; whereas a drawing can use any tool.

Answer:

1 4/5 miles :)

Step-by-step explanation:

We first need to get them at a common denominator :)

4 1/2 = 4 5/10

2 3/5 = 2 6/10

Now we subtract :)

4 5/10 = 3 14/10

3 14/10 - 2 6/10 = 1 8/10 = 1 4/5

Have an amazing day!!

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Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

Speed is a measure of how quickly an object moves from one place to another. It is defined as the distance traveled by an object per unit of time, and is often represented by the symbol "v". The formula for speed is:

Speed = Distance/Time

Nance is riding her bike to a friend's house that is 4 and 1/2 miles away. She has already ridden 2 and 3/5 miles. To find out how much farther she needs to ride, we can subtract the distance she has already ridden from the total distance:

Total distance = 4 and 1/2 miles

Distance already ridden = 2 and 3/5 miles

Total distance - Distance already ridden

4 and 1/2 - 2 and 3/5 = 9/2 - 13/5 (we need to get a common denominator)

= (45/10) - (26/10)

= 19/10

Therefore, Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

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Answer:

c = √5

using pythagoras theorem:

Answer:

2.236 or root 5

Step-by-step explanation:

To use it for this question, we know the lengths of both a and b. (It doesn't matter which is which). 2^2+1^2=4+1=5. Root five is about 2.236

The estimated areas are listed below:

Right Riemann sum based on trapezoids offer a compact method that combines upper and lower sums, which is defined below:

[tex]A = \frac{b-a}{2\cdot n}\cdot \sum_{i = 0}^{n-1} [f(x_{i})+f(x_{i+1})][/tex]   (1)

Where:

In this question we must apply right Riemann sums to estimate the areas of functions on given intervals. Now we proceed to solve each case below:

[tex]A = \frac{1-0}{2\cdot (4)} \cdot [(0+\sqrt{0.5})+(\sqrt{0.5} + 1)+(1+\sqrt{1.5})+(\sqrt{1.5}+2)][/tex]

A ≈ 0.806

The area of the function is approximately 0.806. [tex]\blacksquare[/tex]

[tex]A = \frac{2-0}{2\cdot (4)}\cdot [(4+1.472)+(1.472+0.541)+(0.541+0.199)+(0.199-0.073)][/tex]

A ≈ 2.088

The area of the function is approximately 2.088. [tex]\blacksquare[/tex]

[tex]A = \frac{2-1}{2\cdot (5)} \cdot [(1+0.833)+(0.833+0.714)+(0.714+0.625)+(0.625+0.556)+(0.556+0.5)][/tex]

A ≈ 0.696

The area of the function is approximately 0.696. [tex]\blacksquare[/tex]

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Step-by-step explanation:

First, Join OB and OC.

∠BOC = 2∠BAC

(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)

=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)

=> ∠BOC = 60°

In, ΔOBC, OB = OC...(radii of same circle)

∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)

As the sum of angles of a traingle is 180°,

∠OBC + ∠OCB + ∠BOC = 180°

∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)

2∠OBC = 120° => ∠OBC = 60°

Thus, we have ΔABC such that,

∠BOC = ∠OBC = ∠OCB = 60°

ΔOBC is an equilateral triangle

BC = OB i.e. BC is equal to the radius of circle.

Answer:

962

Step-by-step explanation:

MMM for step by step its kinda just plug and check

962/3 = 320 R2

962/6 = 160 R2

962/8 = 120 R2

962/10 = 96 R2

962/12 = 80 R2

and finally 962/13 = 74

Answer: 1 1/2 cup of water

Step-by-step explanation: 3 3/4 - 2 1/4 = 1/2   |  3 - 2 = 1   |  3/4 - 1/4 = 2/4 = 1/2

Answer:

x = 35

y = 7

Step-by-step explanation:

See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so

C + 45 + 30 = 180

C + 75 = 180

C = 105°

This is angle DCB.

Now all the angles are marked. We can set up equations to find x and y. see image.