In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?





158


132


120


110


70

The equation does not fit the table

Answer:

2

Step-by-step explanation:

i did it

Answer:

3/5

Step-by-step explanation:

Sin is opp/hyp so it would be 30/50 in lowest form it would become 3/5

Answer:

c. 3/5

Sin C = Perpendicular/ Hypotenuse

= 30 / 50

= 3/5

Answer:

A ) -2/3

Step-by-step explanation:

Rewrite the equation in slope-intercept form.

y = mx + b

2x + 3y = 12

2x - 2x + 3y = 12 - 2x

3y = 12 - 2x

3y/3 = 12/3 - 2x/3

[tex]y = -\frac{2}{3} x + 4[/tex]

Answer:

The answer above is correct!

Step-by-step explanation:

Hope it helps :)

Answer:

3 of the pyramids

Step-by-step explanation:

Given:

Hexagonal Prism

Hexagonal based pyramid

Required

How many of the pyramid will fill up the prism

To do this, we start by calculating the volumes of both shapes.

Let V1 be the volume of the hexagonal prism

[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

Let V2 be the volume of the hexagonal based pyramid

[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2

[tex]Number = \frac{V_1}{V_2}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]

Convert division to multiplication

[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]

[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]

[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]

[tex]Number = 3[/tex]

Answer:

(0,−4)

Step-by-step explanation:

Answer: A is the answer (7,9)

Answer:

4 pencils

Step-by-step explanation:

3*1.45 = 4.35 ---> spent for the pens

( 10 -[ 4.35 + 2.05] ) = money spent on pencils

0.9x= 3.6

x=3.6/0.9 = 4

Answer:

The answer is C because I dont know

Answer:

£162

Step-by-step explanation:

Let's first find 35% of £120.

35% here is our multiplier, so we can turn it into a decimal (0.35) in order to use it in our sum.

£120 × 35% = £42

Now add £42 to £120.

£120 + £42 = £162

Super simple!

Answer:

(x, y) = (-8, 19)

Step-by-step explanation:

9x + 3y = -15

-4x - 3y = -25

(9x + 3y) + ((-4x) - 3y) = -15 + (-25)

5x = -40

x = -8.

So,

9x + 3y = -15

9 * (-8) + 3y = -15

-72 + 3y = -15

3y = 57

y = 19

Answer:

x=15

Step-by-step explanation:

Answer: 4 gallons.

Step-by-step explanation:

With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.

If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.

8 x 1/2 = 4.

Because of this, 4 gallons of paint are needed to cover he entire wall.

(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])

Answer:

Each shirt is $8

Step-by-step explanation:

80÷10 = 8

Answer:

$8

Step-by-step explanation:

Form your equation, there are 10 shirts at x price, and they equal $80:

10x = $80

solve for x by dividing both sides by 10

10x/10 = $80/10

x = $8

Answer:

so.....how can i help you?

Step-by-step explanation:

Answer:

10395

Step-by-step explanation:

[tex]9828 \div 4 \div 13 = 189[/tex]

[tex]189 \times 11 \times 5 = 10395[/tex]

Answer:

945

Step-by-step explanation:

9828 divided by 13 = 756

756 divided by 4= 189

189 x 5= 945

945 x 11= 10,395

Your welcome

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

[tex]f(n) = 3(2)^n[/tex]

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]

[tex]f(0) = 3(2)^0[/tex]

[tex]f(0) = 3*1[/tex]

[tex]f(0) = 3[/tex]

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

[tex]f(0) = 3[/tex]

Take n = 1

Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]

[tex]f(1) = 3(2)^1[/tex]

[tex]f(1) = 3*2[/tex]

[tex]f(1) = 6[/tex]

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

Answer:

67 degrees

Step-by-step explanation:

Angle 2 and angle 7 are vertical angles since l is the transversal.

so that means <2=<7

4x+39=12x-17

Simplify: isolate the variable:

56=8x

divide by 8:

7=x

now plug it in to m<2

4(7)+39=m<2

28+39

67=m<2

i hope this helps!

Answer:

- [tex]\frac{2}{3}[/tex] x

Step-by-step explanation:

Given

[tex]\frac{4x-8x^2}{12x-6}[/tex] ← factorise numerator and denominator

= [tex]\frac{4x(1-2x)}{6(2x-1)}[/tex] ← factor out - 1 from (1 - 2x) on numerator

= [tex]\frac{-4x(2x-1)}{6(2x-1)}[/tex] ← cancel the common factor (2x - 1)

= [tex]\frac{-4x}{6}[/tex] ← cancel 4 and 6 by 2

= - [tex]\frac{2}{3}[/tex] x

Simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]

Given the expression, [tex]\frac{4x-8x^2}{12x-6}[/tex], we are required to simplify the expression as follows:

Step 1: Factorize the denominator and the numerator.

[tex]\frac{4x-8x^2}{12x-6}\\\\=\frac{(1 - 2x)4x}{(2x - 1)6}[/tex]

Step 2: Rewrite the fraction by factoring out -1 from the numerator.

[tex]=\frac{(2x - 1)-4x}{(2x - 1)6}[/tex]

Step 3: Divide the numerator and denominator by (2x - 1) respectively.

[tex]=\frac{-4x}{6}[/tex]

Step 4: Divide the numerator and denominator by 2 respectively.

[tex]=\frac{-2x}{3}[/tex]

Therefore, simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]

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Answer:

we need a picture

Step-by-step explanation:

Answer:

your answer  is 200 if you add 84 and 116 but is you add 25 82 213 and 97 it will be 417

Step-by-step explanation:

The balance at the end of the month is $83.

Checkbook balance = $300

Amount withdrawn = $25 + 82 + $213 + $97 = $417

Amount deposited = $84 + $116 = $200

Therefore, the balance at the month end will be:

= $300 - $417 + 200

= $83

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Answer:

he height of a triangle is 8m less than the base. The area is 10cm^2. Find the height and the base.

I have tried the equation 10=b(b-8)(1/2).

b(b-8) = 20

b^2 - 8b - 20 = 0

Factor:

b^2-10b + 2b-20 = 0

Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

Answer:

(x+4)²-3

Step-by-step explanation:

x x=x²

4 4 =8

then +3

but a plus and a minus makes a minus so it would be -3

Answer:

$31.00

Step-by-step explanation:

20+10=30=1 (tax)