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Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

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We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

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Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

Answer: 1856.10

Step-by-step explanation:

Suzie will make $1856 in 4 weeks.

The first week 300

The second week: 300 x 30% + 300 = 390

The third week: 390x (1430%) = 507

The fourth week: 507 × (1430%) = 659.1

So Sum to: 300 +390 +507 +659.1 = 1856.1

Profit is $1856.

Learn more about profit here: brainly.com/question/19104371

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Answer:

b = 5

Step-by-step explanation:

You want to get b on one side alone so you divide by 4.

20 divided by 4 is 5.

Answer:

b = 5

Step-by-step explanation:

4b = 20

Whatever we do to one side of the equation, we have to do to the other.

To "isolate the variable", or get "b" by itself, we have to divide both sides by 4

4b divided by 4 is b, since "4b = 4 times b"

20 divided by 4 is 5

4b = 20

b = 5

Answer:

1/2

Step-by-step explanation:

Given data

Total melon= 1 1/2

In simple fraction= 3/2

DIvide 3/2 by 2

= 3/2/3

=3/2 * 1/3

=3/6

= 1/2

Hence each person will get 1/2 of  the whole water melon

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

[tex]V = a^2h\\\\4096 = a^2 h ..... (1)[/tex]

surface area of the solid  

[tex]S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches[/tex]

So, h = 40.2 inches

Answer: x=6 or x=-3

Step-by-step explanation:

x^2-18=3x

x^2-3x-18=0

(x-6)*(x+3)=0

x-6=0    x+3=0

x=6        x=-3

Answer:

Below

Step-by-step explanation:

To find the answers for the table, you must plug in each x value into the equation and get your y value:

x = -1

(-1^2)-(4*-1)-1

=

1+4-1

=

4

When x = -1, y = 4

x=0

(0^2)-(-4*0)-1

=

-1

When x = 0, y = -1

x = 1

(1^2)-(4-1)-1

=

1-4-1

=

-4

When x = 1, y = -4

x = 2

(2^2)-(4*2)-1

=

4-8-1

=

-5

When x = 2, y = -5

x = 3

(3^2)-(4*3)-1

=

9-12-1

=

-4

When x = 3, y = -4

I made a graph of this shown below.

I also created a table, that answrs your question below.

Hope this helps!

Answer:

its the second one

Step-by-step explanation:

Answer:do 142 times 20 which is 2840 times 0.35 which is 994 I think not sure

Step-by-step explanation:

Answer:

Total number of customers = 143/35% = 409 approximately

Step-by-step explanation:

If the trend did not change yesterday, we estimate that 143 customers constitute 35% of the total number.

So

Total number of customers = 143/35% = 409 approximately

Answer:

10 and 10

10 and 5

10 and 3

5 and 3

3 and 5

Step-by-step explanation:

Answer:

D

Hope that this helps!

Answer:

The square root of 4489 is:

Step-by-step explanation:

To find the square root by división method you must do the next:

1. you write the square root:

[tex]\sqrt{4489}[/tex]

2. You separe the number inside the square root in groups of two digits, begining by the right (in this case doesn't matter, because we have 4 digits, but remember this when the number has an odd number of digits):

√44 89

3. You must find a whole number which squaring gives us a number equal to or less than our first pair of digits (44), in this case is 6, because 6*6 = 36 and, if we take 7, 7*7 = 49 (we would pass):

√44 89 ║6

4. Now, we subtract the squaring of the number obtained to our first pair of digits:

√44 89 ║6

-36

= 8

5. We duplicate the root obtained (6) and we lower the next pair of digits next to the result of the previous subtraction, but this time we make pairs of digits from the left:

√44 89 ║6

-36       ║12

= 88 9

6. We divide 88 (our pair of digits) in 12 (the double of the obtained root):

88 ÷ 12 = 7.3333333 (we approximate to 7)

7. We put the number obtained in the division (7) to the right side of the double of the obtained root (12) and we multiply by this too:

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

8. we subtract the number obtained in the multiplication to the digits we order in pairs (889):

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

9. We raise the number that we multiply by twice the previous root found, as another digit of the root:

√44 89 ║67

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

As you can see, the square root of 4489 with this method gave us the result 67.

Answer:

C

Step-by-step explanation:

The angle you're looking at is a Right Angle, and is 90 degrees. And the equation "-5 + 95" is the same as "95 - 5" which equals out to 90 degrees.

Answer: 3

Step-by-step explanation:

I think…

Answer:

area = 2.28

Step-by-step explanation:

area of triangle is 1/2*b*h

area = (1/2)*3.8*1.2

area = 2.28

Answer:

2.28

Step-by-step explanation:

Area of triangle =(base*height)/2

And base=1.2 cm

Height=38 mm ( change it to cm as they need the answer in square cm) which is 3.8 cm

So (1.2*3.8)/2=2.28

Answer:

0.02.90 and 2.90

Step-by-step explanation:

2% of 90 equal to both 0.02.90 because are worth same.

Answer:

130 degree of 2 and 8

Step-by-step explanation:

I think so

Answer:

130

Step-by-step explanation:

Have a nice day

Answer:

66

Step-by-step explanation:

Step-by-step explanation:

multiply 455 by 0.20

convert percentage to decimal

20% = 0.20 ( multiply by 10^-2)

why does this work?

convert to a fraction

20/100 ( this is also how you get decimal)

simplify 20/100 = 1/5

so multiplying 455 by 0.20 is the same as dividing by 5

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of perpendicular line

Answer:

The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.

Step-by-step explanation:

I have the same exact question and I also do acellus.

Answer:

C

Step-by-step explanation:

You find y-intercept x=0

Answer:

4.5

Step-by-step explanation:

Answer:

36cm^2

Step-by-step explanation:

the answer is

area of rectangle =l×b

=9×4.

=32

d= distance travelled = 6 km

P= 5d²+270

= 5(6)²+270

=5 ×36 +270

= 180+ 270

= 450

Taxi fare = 450 pence