define the following key terms relating to a circle, diameter and radius

Answer:

x=144°

Step-by-step explanation:

To work out x, you have to find the other angle in the triangle.

Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.

48+96=144°

180-144=36°

Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.

180-36=144°

x=144°

Hope this helps :)

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]

opposite angles of a llgrm are equal.

ABCD is a llgrm.

let angle A = 63 degree

so opposite angle of A is C is also 63.

let angle B=x degree =angle D

sum of all angles of a llgrm is 360 degree

angle A + angle B + angle C + angle D=360

63+x+63+x=360

126+2x=360

2x=360-126

x= 134/2

x=67

so the other angles are

A=63 B =67 C = 63 D = 67

All credit goes to

bijaymourya8114

Answer:

6 and (2y+5)

Step-by-step explanation:

Answer:

a. 20h = m

b. $120

Step-by-step explanation:

We know what they charge per hour so if we didn't have the number of hours they worked we would write the equation as 20h = m (h = hours, and m = money made). Since we know the number of hours they worked, we can substitute h with 6 and find m.

20(6) = m

120 = m

Best of Luck!

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

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Answer:

6x

Step-by-step explanation:

3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

Answer:

Step-by-step explanation:

The first box is 'not closed'

Second is ' an element'

Third = 'closed' and last is 'an element'.

no, more than one triangle could be made with these measures

sss

Answer:

Hello,

Answer :Rotation of 90° clockwise by the origin O, and translation 2 units to the left

Step-by-step explanation:

Answer:

900°

Step-by-step explanation:

The interior angles sum = 180° ( n - 2 )

~~~~~~~~

n = 7

180° ( 7 - 2 ) = 900°

Answer:

900 degrees

Step-by-step explanation:

just apply the formulas discussed in class !

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

(n−2)×180∘ (where n is the number of sides)

in our case we have 7 sides.

so, we could split this polygon into 5 triangles.

each of these triangles would have an angle sum of 180°.

so, the angle sum of the polygon is

5×180 = 900°

Answer:

65

Step-by-step explanation:

1=5

13=x

1x=5x13

1x=65

divide both sides by 1

x=65

Answer:

always true because the negative value of y is cancelld by - sign so it becomes x+|y|

examples: x=1, y=-1 then 1-(-1)>0

x=2, y=-5 then 2-(-5)>0

Answer:

120 $12 tickets and 180 $15 tickets

Step-by-step explanation:

Given the 2 equations

12x + 15y = 4140 → (1)

x + y = 300 ( subtract y from both sides )

x = 300 - y → (2)

Substitute x = 300 - y into (1)

12(300 - y) + 15y = 4140 ← distribute and simplify left side

3600 - 12y + 15y = 4140

3600 + 3y = 4140 ( subtract 3600 from both sides )

3y = 540 ( divide both sides by 3 )

y = 180

Substitute y = 180 into (2)

x = 300 - 180 = 120

Number of $12 tickets : 120 ; Number of $15 tickets : 180

Answer:

if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.

Step-by-step explanation:

Hope this helped

Answer:

N = 6.8181. and m= 15

Step-by-step explanation:

33n-135=360

33n = 360-135

33n =225

n = 6.8281.

18m+90=360

18m=360-90

18m =270

m= 15

Answer:

hello,

Step-by-step explanation:

height=23*tan(30°)=0.56*23=12.88 (ft)

Answer:

3596

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

3596

Step-by-step explanation:

(58*10) = 580

580*6 = 3480

58 * 2 = 116

3480 + 116 = 3596

Answer:

The green box would be [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

[tex]\frac{1}{2^{3}} = \frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

R.A. = 50(1 - .5)^3

your question askes for the decay factor "green box"

that number is 1/2 (.5)

Answers:-

y = mx+b where m is the slope and b is the y intercept.

The line must pass through (3,-7) therefore

-7 =3 m +b

Now solve for b

b=-7 - 3m

Now substitute b into the definition of a line

y = mx -7 -3m

y=m*(x-3) -7

Now check the solution to see if for every m it passes through (3,-7)

substituting x in to the solution.

y=m(3–3)-7

y=7 hence the solution is correct. for any m

Plz follow ma );

Answer:

y = 7

Step-by-step explanation:

y = mx+b where m is the slope and b is the y intercept.

The line must pass through (3,-7) therefore ---> -7 =3 m +b

Now solve for b ---> b=-7 - 3m

Now substitute b into the definition of a line, y = mx -7 -3m ---> y=m*(x-3) -7

Now check the solution to see if for every m it passes through (3,-7)

Substitute x in to the solution --->  y=m(3–3)-7

y=7 therefore the solution is correct.

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

24/16 = 1.5

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

Answer:   3.3 * 10^5

This is approximate. The more accurate value is 3.333 * 10^6 but even that isn't exact because the '3's after the decimal point go on forever

===========================================================

Work Shown:

(2.5 * 10^8)/(7.5 * 10^2)

(2.5/7.5) * 10^(8-2)

0.3333 * 10^6 .... this is approximate

3.333 * 10^(-1) * 10^6

3.333 * 10^(-1+6)

3.333 * 10^5

3.3 * 10^5

Answer:

5) 4а²+8ас=4а(а+2с)

6) 3m²-6mn=3m(m-2n)

7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)

8) ab+ac+xb+c=b(a+x)+c(a+1)

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w                        Subtract w from both sides

9w = 27                                Divide by 9

w = 27 / 9                          

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.

Answer:

Hello,

Step-by-step explanation:

Part A:

Yes

Since

y=f(x)

f(0)=4

f(1)=7 : f(1)=f(0)+1*3

f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3

f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3

...

f(9)=31=28+3=f(8)+3=f(0)+9*3

f(n)=f(0)+n*3=4+n*3

Part B: y=3x+4

Part C: slope=3 , y-intercept=4

The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)

y-intercept indicate the original height of the plant.

Answer:

y<x+5

Step-by-step explanation:

Inequalities are just like equations with equals signs.

Using that y intercept you use on the graph you can input it as b in the y=mx+b slope intercept equation.

On this line, the y-intercept is 5. If it were a regular equation with the slope of 1. m=1 and b=5 the answer would be y=x+5. The inequality doesn't do much when looking at the graph (besides the shading) so the inequality is y<x+5.

Answer:

-7 and 2 or 8 and 17

Step-by-step explanation:

If we let the numbers be [tex]x[/tex] and [tex]x+9[/tex], the equation to solve this problem will be as follows:

[tex]x(x+9)=5(x+x+9)+11[/tex]

Solving the equation for [tex]x[/tex], we get:

[tex]x(x+9)=5(x+x+9)+11[/tex]

[tex]x(x+9)=5(2x+9)+11[/tex] (Combine like terms)

[tex]x^{2} +9x=10x+45+11[/tex] (Use the Distributive Property of Multiplication to multiply expressions)

[tex]x^{2} +9x=10x+56[/tex] (Combine like terms)

[tex]x^{2} -x-56=0[/tex] (Subtract [tex]10x[/tex] and [tex]56[/tex] from both sides of the equation)

[tex]x^{2} -8x+7x-56[/tex] (Split [tex]-x[/tex])

[tex]x(x-8)+7(x-8)=0[/tex] (Factor by taking a common term out)

[tex](x-8)(x+7)=0[/tex] (Factor by taking a common term out)

[tex]x-8=0[/tex] or [tex]x+7=0[/tex] (Use the Zero Product Property)

[tex]x=8[/tex] or [tex]x=-7[/tex]

Therefore, the first number could be either -7 or 8, and the second number could be -7 + 9 = 2 or 8 + 9 = 17, respectively. Hope this helps!

An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The expression is;

[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]

At the beginning of 9-year value of n is 9,substitute the value to get he amount;

[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]

Hence, option D is corect.

To learn more, about equations, refer;

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56/11=5.09090909090.......

50/9=5.5555........

7/9=0.777777.......