Why are the two triangles congruent?

Step-by-step explanation:

7 [tex]\frac{1}{2}[/tex] ÷ 2

A. 2 × ? = 7[tex]\frac{1}{2}[/tex]

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

Answer:

$9.50

Step-by-step explanation:

40x + (5*1.5*x) = 451.25

40x + 7.5x = 451.25

47.5x = 451.25

x = 9.50

Answer:

4 quizzes are taken per week

Answer:

Step-by-step explanation:

8,3,4,6,7,2,5,

Answer:

7

Step-by-step explanation:

Sorry if my answer is wrong

Answer:

71°

Step-by-step explanation:

ABD is alternate to DEB. Therefore ADB = DEB = 71°

The required size of angle ABD is 71.

The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.

Now it is given that,

angle DEB = 71

Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.

Now, AC is the tangent of the circle that passes through point B.

The tangent makes an angle ABD with the chord BD.

Now, given that ∠DEB = 71 in the alternate segment.

Now, we have to prove that ∠ABD = 71.

Thus, OD =OB (Both are the radii of the circle)

Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)

Since, OBD is an isosceles triangle

∠BOD = 180° – ∠ODB – ∠OBD

∠BOD = 180° – 2∠OBD …(1)

Since, the line segment AC is the tangent line,

∠OBA = 90°

Therefore, ∠OBA = 90° – ∠OBD …(2)

From the equations (1) and (2), we can write

∠AOB = 2∠DEB

We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.

∠BOD = 2∠DEB

∠DEB = (½)∠BOD

Now, substitute ∠BOD = 2∠DEB  in the above equation, we get

∠DEB = (½)2∠DEB

∠DEB = ∠DEB

⇒ ∠DEB =71

Thus, the required size of angle ABD is 71.

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Answer:

-101

Step-by-step explanation:

Answer:

-101

Step-by-step explanation:

-12.8-88.2 is equal to -101

Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

Answer:

a)£21.80

b) 3 trips

Step-by-step explanation:

The cost of an adult is $10.

A child’s ticket is $6.

FAMILY DISCOUNT CARD

- 45% off all adults tickets

- Children save 2/5 off of full price tickets

a) How much will it cost to buy 2 adult tickets and children’s tickets?

(a)

Adults: 2 × £10 = £20

(45 ÷ 100) x £20 = £9

£20 - £9 = £11

Children: 3 × £6 = £18

2 /5 of £18 = £7.20

£18 - £7.20 = £10.80

Total: £11 + £10.80 = £21.80

b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?

(b) Cost without discount = £20 + £18 = £38b)

No card

1 trip

1 × £38 = £38

2 × £38 = £76

3 × £ 38 = £114

With card

£40 + (1 × £21.80) = £61.80

2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60

3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40

3 trips before the discount card starts being cheaper than regular price

Answer:

B also the full name of vertically angles is called the vertically opposite angle theorem or voat

Answer:

False

Step-by-step explanation:

The male's want sports cars more and the female's want SUV's more.

Answer:

339.7705

Step-by-step explanation:

Answer:

3(4)+2= 14

Step-by-step explanation:

Answer:14

Step-by-step explanation:

You plug in the value of x=4, into the function. Giving you f(4)=3(4)+2

Answer:

x 5/4 y 10/3 over 2

Step-by-step explanation:

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

Answer:

x= 6

Step-by-step explanation:

since the triangle is isosceles we know that opposite sides are equal

[tex]5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=\frac{30}{5}\\\\x=6[/tex]

Answer:

[tex]\boxed {\boxed {\sf x=6}}[/tex]

Step-by-step explanation:

An isosceles triangle has 2 equal base angles and 2 equal legs.

In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.

[tex]35=5x+5[/tex]

Solve for the value of x by isolating the variable on one side of the equation.

5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]

x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.

[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]

The value of x is 6.

Answer:

most bottles are

about 2 pints

Step-by-step explanation:

Plz mark brainliest!

Answer:

I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints

Step-by-step explanation:

Answer: 1/3x + 1/6

Step-by-step explanation:

The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:

= 1/3x + 2/3x - 2/3x + 3/4 - 1/4 - 1/3

= 1/3x + 3/4 - 1/4 - 1/3

= 1/3x + 1/2 - 1/3

= 1/3x + 3/6 - 2/6

= 1/3x + 1/6

Answer:

1/3x + 2/4

Step-by-step explanation:

(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4

Answer:

-2t-14

Step-by-step explanation:

Answer:

-2t - 14

Step-by-step explanation:

-2(t + 7)

distribute

(-2 * t) + (-2 * 7)

-2t + -2 * 7

-2t - 14

Answer:

6 are playing hopscotch

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

the co ordinate of f(-5) is -7

Answer:

a)

b) 99

Step-by-step explanation:

i'm not sure about a

but for b i got 99 members

Answer: Sorry, I’m lazy today so I’ll just answer the first question, letter a. The answer is 30 cups of red paint.

Step-by-step explanation: Since you need 2 cups of blue paint and 4 cups of red paint, the ratio of the amount of cups you need for each paint is 1 cup of blue for every 2 cups of red. You need 15 cups of blue so you multiply it by 2 and you get 30. I hope this wasn’t confusing and I hope this helps. Please listen to you teacher because it would really help you on your work.

Answer:

Total Area = 26.75

Step-by-step explanation:

Remark

The hardest triangle to see is the top one. So we'll start with it.

It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9

Top Triangle Area

Area = 1/2 base * height

Area = 1/2 * 9 * 3.5

Area = 15.75

Triangle on the lower left

Area = 1/2 * 2 * 2

Area = 2

Square on lower middle

Area = 2*2

Area = 4

Triangle on lower right area

Area = 1/2 * 2 * 5

Area = 5

Total Area

Total Area = 5 + 4 + 2 + 15.75

Total Area = 26.75

Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Answer:Yes

Step-by-step explanation:

1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

2) Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

For given question,

We have been given an inequality 25W + 40J < 120

W represent the number of liters of water and J represent the number of liters of juice.

Mwamini drinks water at a rate of 25 seconds per liter.

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

If Mwamini drinks 2 liters of water and 1 liter of juice.

Here, W = 2 lit and J = 1 lit

So, ⇒ 25W + 40J

     = 25(2) + 40(1)

     = 50 + 40

     = 90

      < 120

This means, Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

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Answer:

I would personally say Florida. When looking at things such as race, NYC has many races, and New York has very different neighborhoods and lifestyles.

In Florida, most people are more laid back, and there are not that many differences in race and other aspects.

Answer:

A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship. On the other hand a negative relationship is one where more of one input leads to less of another output.

Step-by-step explanation:

Hope this helps

Answer:

2/3

Step-by-step explanation:

16/24 = 14/ 21 = 12/ 18 10/ 15 8/12 6/9 4/6 = 2/3

The simplest form of the number 16.24 in fraction would be 406/25.

Used the concept of fraction which states that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that,

The number is 16.24.

Now, it can be written as,

[tex]16.24 = \dfrac{16.24 \times 100}{100}[/tex]

[tex]= \dfrac{1624}{100}[/tex]

Therefore, the simplest form is,

[tex]= \dfrac{406}{25}[/tex]

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