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Answer:

  x = 30

Step-by-step explanation:

a) The sum of the angles along the line is 180°. That means ...

   2x° +90° +x° = 180°

__

b) Subtracting 90° and dividing by 3° gives ...

  3x° = 90°

  x = 30

Answer:

a) supplamentary angles b) X= 30

Step-by-step explanation:

A) Equal to 180 b) 90 divided by 3 gives you 30

The first option. 100% correct.

[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]

Answer:

33 2/3

Step-by-step explanation:

First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.

So now we have 95/15 and 3/15. From here, we would divide 95 by 3.

95 ÷ 3 = 31 10/15

This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.

Part A: Yes, Triangle DEF and DBC are the same triangle, but DBC is smaller than DEF because it is just a cut off of DEF.

Part B: I am pretty sure it is angle C.

Part C: I am pretty sure it is angle D.

Answer:

Step-by-step explanation:

Part A.

m < B = m < E   (corresponding angles, (BC parallel to EF))

m < C = m < F   ( as above)

So triangles DBC and DEF are similar ( by 2 equal angles).

Part B.

Line segment BC   ( as they are both opposite  < D)

Part C.

< C as its in same relative position to < F.

Answer:

in 155 years it would reach 225 thousand deer

Step-by-step explanation:

Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

............

Answer: 20 ft.

Step-by-step explanation:

Simply multiply 5 x 4.

Answer:

20 ft`

Step by step explanation:

N/A

Answer:

- 90

Step-by-step explanation:

Evaluate 1*- 5 then the outer one

1*- 5 ( with x = 1 and y = - 5 )

= 1(- 5) + 2(- 5)

= - 5 - 10

= - 15

Then

4*- 15 ( with x = 4 and y = - 15 )

= 4(- 15) + 2(- 15)

= - 60 - 30

= - 90

Answer:

-4

Step-by-step explanation:

let the number be x

6x+(x+6)=-30-2x

7x+6=-30-2x

9x=-36

x=-4

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

The equation of the tangent is y = –2x – 6

The step by step process is in the pic attached.

The top part was cropped out, it says the centre point is (–2,3)

Answer:

r=[tex]\frac{3t}{t-1}[/tex]

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=[tex]\frac{3t}{t-1}[/tex]

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

x² = 36

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

Learn more about area of a square on:

https://brainly.com/question/16758129

Answer:

$1 dollar and $0.90cents

Step-by-step explanation:

Answer:

[tex] - (6 - 4x) = - 6 + 4x[/tex]

Answer:

[tex]-6+4x[/tex]

Step-by-step explanation:

[tex]-(6-4x)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(6\right)-\left(-4x\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

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

V = πr²h

V = 3.14 · 2² · 6

V = 3.14 · 24

V = 75.36

Hope this helps!

Answer: 75.36

Step-by-step explanation:

Functions can be represented using equations, graphs and tables.

The function is given as:

[tex]a(l) = \frac 12 l^2[/tex]

When l = 1, we have:

[tex]a(1) = \frac 12 \times 1^2[/tex]

[tex]a(1) = 0.5[/tex]

When l = 2, we have:

[tex]a(2) = \frac 12 \times 2^2[/tex]

[tex]a(2) = 2.0[/tex]

When l = 3, we have:

[tex]a(3) = \frac 12 \times 3^2[/tex]

[tex]a(3) = 4.5[/tex]

When l = 4, we have:

[tex]a(4) = \frac 12 \times 4^2[/tex]

[tex]a(4) = 8.0[/tex]

Represent the above results as a table, we have:

l          a(l)

1          0.5

2         2.0

3          4.5

4          8.0

Read more about tables and functions at:

https://brainly.com/question/13136492

Answer:

1/6

Step-by-step explanation:

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

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

Refer to the attachment.

=》y = -10

_____

Hope it helps ⚜

The quantity of excess reserves that the Bank of Cheerton now hold is $210

From the attached table, the amount generated on the reserve is $4,200

If the Fed's reserve requirement is 5 percent, then the quantity of excess reserves that the Bank hold is given as:

Quantity of excess reserves = 5% of $4,200

Quantity of excess reserves = 0.05 * 4200

Quantity of excess reserves = $210

Hence the quantity of excess reserves that the Bank of Cheerton now holds is $210.

Learn more on discounts here; https://brainly.com/question/24304697

Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].

Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.

The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]

where

[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]

substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]

the approximate volume of the frustum is [tex]1769cm^3[/tex]

Learn more about the volume of a frustum here: https://brainly.com/question/14177094

Answer:

Add 1 multiply by two

Step-by-step explanation:

As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.

Answer:

y=9x+9

Step-by-step explanation:

y=mx+c

You can use any of the 2 points

pnt1. (1;18)

pnt2. (3;36)

find the gradient

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{36 - 18}{3 - 1} [/tex]

[tex]m = \frac{18}{2} [/tex]

[tex]m = 9[/tex]

substitute one point and gradient to find c

y=mx+c

18=9(1)+c

18=9+c

c=18-9

c=9

therefore the equation is y=9x+9

Answer:

C

Step-by-step explanation:

Answer:

C. 3, because |-3| = 3

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

2/6, 1/3, or approx. 33.3%

A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)

Answer:

(-1, 0.5)

Step-by-step explanation:

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