Write a decimal that the model represents

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:

✔️Quarter circle

✔️Area = 38.5 cm² (nearest tenth)

✔️Perimeter = 25.0 cm (nearest tenth)

Step-by-step explanation:

✔️The figure given is a ¼ circle

Radius is given as = 7 cm

✔️Area = ¼(πr²)

Plug in the value of r

Area = ¼(π*7²)

Area = ¼(π*49)

Area = 38.5 cm² (nearest tenth)

✔️Perimeter = ¼(2πr) + 2r

Plug in the value of r

Perimeter = ¼(2*π*7) + 2(7)

Perimeter = ¼(14π) + 14

Perimeter = 25.0 cm (nearest tenth)

Answer:

4 quizzes are taken per week

Answer:

6 are playing hopscotch

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

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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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:

7

Step-by-step explanation:

Sorry if my answer is wrong

Answer:

$8.50

Step-by-step explanation:

          12=s+3.50

     -3.50    -3.50

       8.50=s

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:

a)

b) 99

Step-by-step explanation:

i'm not sure about a

but for b i got 99 members

Answer:

 f(2) =11

Step-by-step explanation:

Explanation:-

Given the function f(x) = 5x+1

                       Put x = 2

                       f(2) = 5(2)+1

             ⇒      f(2) = 10 +1

            ⇒      f(2) =11

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

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:

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:

-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:

$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:

=92^4 in think

Step-by-step explanation:

Answer:

Yes it is parallelogram because diagonals bisect each other.

Answer:

$41.6

Step-by-step explanation:

20/100 x 52 = 10.4

52 - 10.4 = 41.6

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:

-7

Step-by-step explanation:

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

Answer:

The product of 19 and 32 is 608 and their sum adds up to 51.

The two numbers are: 19 and 32

Answer:

The name of the shape that looks like a rectangle is a square

Answer:

339.7705

Step-by-step explanation:

Answer:

x 5/4 y 10/3 over 2

Step-by-step explanation:

Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

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: