for the following question, true or false.​

Step-by-step explanation:

By the secant-secant theorem, (AC)(BC)=(DC)(x+DC)

Substituting in the given values, (21)(9)=(8)(8+x)

So, 189=64+8x, meaning x = 15.625, or about 15.63.

Step-by-step explanation:

[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]

[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]

Answer:

1/52.

Step-by-step explanation:

The suit AND the number must be correct.

When you see AND in a probability question think 'multiply'.

That would be 13/52 * 4/52

= 52/(52)^2

= 1/52.

Answer:

4/3

Step-by-step explanation:

f(2) = (-2*2)^2 / (7(2))-4)

f(2) = (-4)^2 / 14-4

f(2) = 16 / 12

f(2) = 4 / 3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Total Mini - Easter eggs = 1345

Number of students = 26

So, let's find how many eggs will each student get through division ~

[tex]\qquad \tt  \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]

So, each student will get 51 mini - Easter egg each.

And there would be 19 remaining eggs in there ~

Step-by-step explanation:

i¹ = i

i² = i×i = -1

i³ = -1 × i = -i

i⁴ = -i×i = - -1 = 1

i⁵ = 1×i = i

...

so, when the exponent of i modulo 4 (the remainder when dividing by 4) = 0, then the result is 1.

= 1, then the result is i

= 2, then the result is -1

= 3, then the result is -i

233 modulo 4 = 1 (233/4 = 58, remainder 1).

so, the result is i (the third answer option).

Step-by-step explanation:

so, the garden seems to be rectangular.

it has a length.

and width = length - 2

I assume the fence should go all around the rectangular garden.

that means it has to cover 2 lengths and 2 widths.

fence = 2×length + 2×(length - 2) =

= 2×length + 2×length - 4 = 4×length - 4 =

= 4×(length - 1)

length = 7.5 m

so, he will need

4×(7.5 - 1) = 4×6.5 = 26 meter of fencing.

Answer:

1: Side-Side-Side theorem

2: Side-Angle-Side theorem

3: Angle-Side-Angle theorum

4: Side-Angle-Angle theorum

Step-by-step explanation:

Look at the order of the sides and/or angles of the triangles. Because both of the triangles have the same sides/angles based off either the side-side-side, side-angle-side, angle-side-angle, or side-angle-angle theorem, they are congruent.

Hope this helps! :)

Answer:

[tex]\frac{5\pi }{3} = 0.5[/tex]

Step-by-step explanation:

5π/3 radians = 5π/3 × (180°/π) = 300°

⇒ cos 5π/3 = cos 5π/3 = cos(300°) = 1/2 or 0.5

Answer:

Subtract 3 from both sides.

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

I know I`m late sorry, still wanted to answer

. _ .

Answer:

x=4

y=1

Step-by-step explanation:

4x=7y+9

4x+y=17

7y+9+y=17

8y=17-9

8y=8

y=1

so

4x=7*1+9

4x=16

x=16/4

x=4

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

Explanation:

On the die, the divisors or factors of 20 are: 1, 2, 4, 5

We have 4 faces we want out of 6 faces total

So 4/6 = 2/3 is the probability of getting a divisor of 20.

Answer:

The circumference of a circle with diameter 4 is 12.57.

Answer:

not similar

Step-by-step explanation:

4/3 = 1.3333...

10/8 = 1.25

The ratios are not equal, so the triangles are not similar.

Answer:

4, 4, 4, 4, and 4

Step-by-step explanation:

mode = 4

median = 4

so we know two of the five numbers are 4;

[tex](x+x+x+4+4)/5 =4[/tex]

[tex](3x+8x)/5 = 4[/tex]

multiply both sides by 5

[tex]3x+8=20\\3x=20-8\\3x=12\\x=4\\[/tex]

therefore; the numbers are all 4

Answer:

Roy eat 4 sweets

Step-by-step explanation:

Roy =R

Mike= (R-2)

Leen= 3(R+ R-2)

R + (R-2) + 6R-6 = 24

8R-8=24

8R=32

R=4

     Mike  4-2 = 2

     Leen 3(4+2) = 18

4+2+18=24

Answer:

3.

Step-by-step explanation:

remember, when we multiply the same basic term, we add the exponents.

so,

x⁴×x² = x⁶

now, when there are other factors, we need to multiply them in too.

so,

(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)

Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨

Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  https://brainly.com/question/847634

Work Shown:

[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]

In the equation, 1/6 represents the constant of proportionality.

If a person weighs 60 kg on earth, the person would weigh 10kg ont he moon.

The equation that represents inverse proportion is: m = ke

Where:

If k is 1/6 and e is 60kg,

m = 1/6 x 60 = 10kg

To learn more about inverse proportion, please check: https://brainly.com/question/20391784

Answer: c = -28

Step-by-step explanation:

substitue x for 2

2(2^2) + 10(2) + c = 0

8 + 20 + c = 0

28 + c = 0

c = -28

The value of coefficient c of the quadratic equation 2x^2+10x+c=0  is -28.

One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2.

The roots of a quadratic equation are the values of the variable that satisfy the equation.

They are also known as the solutions or zeros

The equation is 2x^2+10x+c=0.

a=2, b=10 and c=?

To substitute x for 2

2(2^2) + 10(2) + c = 0

8 + 20 + c = 0

28 + c = 0

c = -28

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h(x) represent the height of the shot put, when the horizontal distance is x feet.

h(x)= -0.05x² + x + 6

From the graph of h(x):

The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet

Find out more on equation at: https://brainly.com/question/2972832

2600 pens.

the remaining pens Ali have after giving 1547 away.

2600 - 1547

= 1053

so, Ali has 1053 pens with him.

Ali has 2600 pens.

the amount of pens Ali has left after he gave away 1547 pens.

subtract 2600 from 1547.

[tex]2600 - 1547[/tex]

[tex] = 1053 \: pens[/tex]

hence, Ali has 1053 pens left with him after giving 1547 pens away.