What are the measures of ∠1 and ∠2? Show your work or explain your answers.

Answer:

This is my answer↓:

Step-by-step explanation:

He school play sold $550 in tickets one night.

The number of $8 adult tickets was 10 less than twice the number of

$5 child tickets.

How many of each ticket were sold

Let say child ticket sold = x

Adult tickets was 10 less than twice the number of    child tickets.

=> Adult ticket sold = 2x - 10

Child ticket sold = x

$5 child tickets price

=> Revenue = 5x  $

Adult ticket sold = 2x - 10

$8 Adult tickets price

=> Revenue = 8(2x - 10) =16x - 80 $

5x + 16x - 80 = 550

=> 21x = 630

=> x = 30

Child ticket sold = 30

Adult ticket sold = 50

Total ticket sold = 80

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Answer:

78

Step-by-step explanation:

even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2

the "sum" of a group of numbers is the numbers added together

So, the numbers between 23 and 29:

23, 24, 25, 26, 27, 28, 29

(even numbers are in bold)

    if we add these numbers together,

 {1}                                  {carry the 1 from the 18 in the one's place}

  24

  26

+ 28

______

  78

So the sum of all the even numbers between 23 and 29 is 78.

hope this helps!!

Answer:

no lo sé no lo sé

Step-by-step explanation:

solo se que nada se

5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

Remember that any integer is also a rational number.

So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.

To do that, we can just add 1 to the lowest bound, we will et:

-47 + 1 = -46

-45 + 1 = -45

-44 + 1 = -44

-43 + 1= -43

-43 + 1 = -42

So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

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Answer:

29

Step-by-step explanation:

if you calculate the mathimatical equipment to the $2,000 it'll be better

Answer: C

Step-by-step explanation:

[tex]50 < 5x-10\\\\60 < 5x\\\\x < 12[/tex]

However, the angle has to have positive measure, so:

[tex]5x-10 > 0\\ \\ 5x > 10\\\\x > 2\\\\\therefore \boxed{2 < x < 12}[/tex]

Answer:

h ≈ 37 ft

Step-by-step explanation:

let x be the height of the tree from the viewers eye level

using the tangent ratio, then

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{72}[/tex] ( multiply both sides by 72 )

72 × tan24° = x

then

height of tree = x + 5 = 72tan24° + 5 ≈ 37 ft ( to the nearest foot )

Answer:

37ft

Step-by-step explanation:

It can be considered as a right angle triangle. The height of the tree is equal to the product of tan(24°) and the distance between the man and tree+5 Therefore

In conclusion

The height of the tree is 37ft

Answer:

485.5

Step-by-step explanation:

180.65+135.60+169.25

Answer:

Triangular Prism

Step-by-step explanation:

A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry.

Answer:

[tex] \frac{ {3x}^{2} }{x + 5} + \frac{15x}{x + 5} [/tex]

[tex] \frac{3 {x}^{2} + 15x}{x + 5 } [/tex]

3x ( x + 5) /( x + 5).

The volume of the block after cutting out the smaller cubes is  [tex]\frac{63}{125}[/tex] cubic units.

Given that, Sarah has a solid wooden cube with a length of 4/5 centimetres. From each of its 8 corners, she cuts out a smaller cube with a length of 1/5 centimetre.

We need to find the volume of the block after cutting out the smaller cubes.

The volume of a cube is defined as the total space enclosed by the cube in a three-dimensional space. The formula to find the volume of a cube is a³, where a=edge of a cube.

Now, the volume of a solid wooden cube with a length of 4/5 centimetre

[tex]=(\frac{4}{5} )^{3} =\frac{4}{5} \times \frac{4}{5}\times \frac{4}{5}=\frac{64}{125}[/tex] cubic units.

The volume of a smaller cube with a length of 1/5 centimetre

[tex]=(\frac{1}{5} )^{3} =\frac{1}{5} \times \frac{1}{5}\times \frac{1}{5}=\frac{1}{125}[/tex] cubic units.

The volume of the block after cutting out the smaller cubes[tex]=\frac{64}{125}-\frac{1}{125}=\frac{63}{125}[/tex]

Therefore, the volume of the block after cutting out the smaller cubes is  [tex]\frac{63}{125}[/tex] cubic units.

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Answer:

the answer is 64/125 <3

Answer:

t = - 6

Step-by-step explanation:

8t + 3(t + 4) = 6(t - 3) ← distribute parenthesis on both sides )

8t + 3t + 12 = 6t - 18 , that is

11t + 12 = 6t - 18 ( subtract 6t from both sides )

5t + 12 = - 18 ( subtract 12 from both sides )

5t = - 30 ( divide both sides by 5 )

t = - 6

Answer: 1.25

Step-by-step explanation:

The explicit formula for the sequence is [tex]a_{n}=10(0.5)^{n-1}[/tex]

Substituting in n=4,

[tex]a_{4}=10(0.5)^{4-1}=\boxed{1.25}[/tex]

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2       Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2              Expand

Area = (5 / 18) * pi * 9                  Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

X = 6

Y = (-6)

Answer:

By using opposite angles of two intersecting straight lines are congruent we proved that x = 28°

Step-by-step explanation:

Opposite angles of two intersecting straight lines are congruent

Therefore ∠DLE = ∠GLH

Here ∠DLE = 2x = ∠GLH

Sum of all angles on a straight line is 180°

Therefore ∠ELG + ∠GLH = 180°

Given that ∠ELG = 124°

124° + ∠GLH = 180°

124° + 2x  = 180°

2x = 180° -  124°

2x = 56°

x = 28°

hence proved that x = 28°

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Answer:

  f(x) = 2(x -3)² +5   or   f(x) = 2x² -12x +23

Step-by-step explanation:

The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.

__

The vertex form equation for a parabola is ...

  f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...

  f(x) = 2(x -3)² +5 . . . . . vertex form equation

Expanded to standard form, this is ...

  f(x) = 2(x² -6x +9) +5

  f(x) = 2x² -12x +23 . . . . . standard form equation

Answer:

principal (p)=$1300

Interest (I) =$28.67

Time( T) = 1 year

R=?

we have,

R = I*100/T*R

Answer:

125250

Step-by-step explanation:

I just askeked and it gave me the answere

Answer: [tex]-49x^{5} - 34x^{3} - 68[/tex] or [tex]49x^{5} + 34x^{3} + 68[/tex]

Step-by-step explanation:

Since both groups have the same variables and exponents, just align them and add.

[tex]-54x^{5}+5x^{5} = - 49x^{5}[/tex]

[tex]35x^{3} - 69x^{3} = -34x^{3}[/tex]

- 61 - 7 = - 68

[tex]-49x^{5} - 34x^{3} - 68[/tex]

Step-by-step explanation:

each term in the sequence is half of the value of the previous term, and in the opposite sign.

therfore, the quotient between terms is (-2)

so, to get one term from the previous term, we multiply by 1/(-2), so:

d(n) = d(n-1) × 1/(-2)

the first term is 56 so d(1)=56

Answer:

56 and -1/2

Step-by-step explanation:

khan

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]

[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]

[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]

[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]

[tex]\mathsf{x = \dfrac{15}{5}}[/tex]

[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]

[tex]\mathsf{x = \dfrac{3}{1}}[/tex]

[tex]\mathsf{x = 3\div1}[/tex]

[tex]\mathsf{x = 3}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]

Answer:

–6x + 15 < 10 – 5x

An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Step-by-step explanation:

When you break down -6x + 15 < 10 - 5x, you get x > 5.

Because x is GREATER than 5, when making a number line, there is an open circle on 5 and a bold line pointing to the right.

Answer:

[tex]\large{\boxed{35_{10} = \sf 23_{16}}}[/tex]

Explanation:

[tex]\sf Given : 35_{10}[/tex]

Compute:

35 ÷ 16 = 2.1875 = 2R3

2 ÷ 16 = 0.125 = 0R2

Jot down the remainders:

======

[tex]\sf Answer : \ 35_{10} = 23_{16}[/tex]

[tex]\hrulefill[/tex]

Let's look at another example:  [tex]\sf 325_{10} = [?]_{16}[/tex]

Compute:

325 ÷ 16 = 20.3125 = 20R5

20 ÷ 16 = 1.25 = 1R4

1 ÷ 16 = 0.0625 = 0R1

Jot down remainders:

=====

[tex]\sf 325_{10} = [145]_{16}[/tex]

[tex]\hrulefill[/tex]

Another example: [tex]\sf 500_{10} = [?]_{15}[/tex]

Compute:

500 ÷ 15 = 33.33... = 33R5

33 ÷ 15 = 2.2 = 2R3

2 ÷ 15 = 0.13... = 0R2

Jot down remainders:

=====

[tex]\sf 500_{10} = [235]_{15}[/tex]

This is general conversation of decimal integer to hexadecimal integer

Let's check

This is in decimal form

We know the ways to convert decimal into other forms like

For third way

(2)_16 is one part

Next

3 is not divisible by 16

i.e

Hence

other part is (3)_16

Add (not general addition)

The final answer is

The leading coefficient of the quadratic equation f(x)= x² – 8x – 4 will be 1.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

Then we have the quadratic equation given below.

f(x)= x² – 8x – 4

f(x)= x² – 8x + 16 – 16 – 4

f(x)= (x – 4)² – 20

Then the leading coefficient will be 1.

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Answer:

The square root of -1 is i

Step-by-step explanation:
"i" is the imaginary unit and represents the value of sqrt -1

Answer:

SSS theorem

Step-by-step explanation:

It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.

Answer:

[tex]x\geq 12[/tex]

Step-by-step explanation:

[tex]-3/4x + 2 \leq -7\\-3/4x \leq -9\\x \geq 12[/tex]

Answer:

[tex]m > 5[/tex]

Step-by-step explanation:

[tex] \frac{m + 4}{3} > 3 \\ \frac{m + 4}{3} \times 3 > 3 \times 3 \\ m + 4 > 9 \\ m + 4 - 4 > 9 - 4 \\ m > 5[/tex]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

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Answer:

1500

Step-by-step explanation:

3/7 of 3500

=3/7 × 3500

=150