A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?

Answer:

62 degrees

Step-by-step explanation:

HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees

So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.

We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.

Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.

Or, using theorems, there is an easier way to do this.

The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.

:)

Answer:

A n B = {6}

Step-by-step explanation:

Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)

A = {2, 4, 6, 8}

B = {3, 6, 9, 12, 15...}

A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.

From the set given, we can see that the only number that exists in both set is 6, hence;

A n B = {6}

Given:

A figure of a circle and inscribed quadrilateral JKLM.

[tex]m\angle M=47^\circ,\angle K=(7x+21)^\circ[/tex]

To find:

The value of x.

Solution:

The inscribed quadrilateral JKLM in the circle I is a cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles.

Angle M and angle K are opposite angles of a cyclic quadrilateral, it means they are supplementary angles and their sum is 180 degrees.

[tex]m\angle M+m\angle K=180^\circ[/tex]

[tex]47^\circ+(7x+21)^\circ=180^\circ[/tex]

[tex](7x+68)^\circ=180^\circ[/tex]

[tex](7x+68)=180[/tex]

Isolate the variable x.

[tex]7x=180-68[/tex]

[tex]7x=112[/tex]

[tex]x=\dfrac{112}{7}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

Answer:

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

D 18

Step-by-step explanation:

if you look 6 goes down to a 4 so it is resized by 1/3 and 21 resized by a third is 18

Answer:

answer is x=6 .

Step-by-step explanation:

10+(50×5)=260

10+(50×6)=310

10+(50×7)=360

so 10+300= 310 showing it 310 is greater that or equal to 50×6+10=310

Answer:

<

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

y=2(2)2-8(2)+3

=8-16+3

=-8+3

=-5

Answer:

c

Step-by-step explanation:

i did the prep

Answer:

180

Step-by-step explanation:

Answer: A the additional fee per yoga class is 3.75

Answer:

72π

Step-by-step explanation:

Please see the attached image. r is the radius and h is the height.

The radius is half the diameter, so it is 6/2=3.

The height is given, 8.

Knowing the radius is 3 and the height is 8, all we need to do is plug it into the formula.

Volume=π3^2*8

=72π

or

≈226.19

Answer:

x=6

Step-by-step explanation:

hope this helps

Answer:

5

Step-by-step explanation:

You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.

Answer:

B.z.................

Answer:

Your answer would be C (8,15,17) and E (15, 20,25)

Step-by-step explanation:

:)

Answer:

ange is 7

Step-by-step explanation:

Angle 5 plus angle 7 sum is 180 degrees because the are supplementary angles. Therefore, 85 degrees + unknown angle 7= 180. 180-85= 95 degrees, or the measurement of angle 7.

hope this was what you where asking for can u plz mark me brainlest

Answer:

Y=-9

W=9

Step-by-step explanation:

2y/6+3=0

-3=-3

6/1 *2y/6=-3*6/1

2y=-18

2y/2=-18/2

Y=-9

The rest of the work is in the pic

Answer:

47.3

Step-by-step explanation:

A triangles angles add up to 180 degrees

At 42.7 and 90 and you get 132.7

Subtract 132.7 from 180 and you get 47.3 degrees.

Answer:

A. 47.3°

Step-by-step explanation:

The sum of all the angles in a triangle equals 180°, so we need to subtract 42.7° and 90° from 180° to get ∠N.

180° - 90° - 42.7° = 47.3°

∠N = 47.3°

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

Answer:

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2

Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction

Answer:

divide both sides by 2 (to isolate the equation in parenthesis)

subtract 3 from both sides (to isolate the variable x)

x=1

Step-by-step explanation:

if you need a better explanation just let me know!

Answer:

x² - 6x + 9

Step-by-step explanation:

(a - b)² =a² - 2ab + b²

a = x and b = 3

(x - 3)² = x² - 2*x*3 + 3²

           = x² - 6x + 9

Answer:

x^2-6x+9

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]

Answer:

12

Step-by-step explanation:

Answer:

i got 10 in the end 10000 is a power of 10 so the lowest answer is 10

Step-by-step explanation: