The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?

Answer:

The value of x is -2.

Step-by-step explanation:

First, you have to eliminate the brackets by expanding :

[tex]2(x - 4) = 4(2x + 1)[/tex]

[tex]2x - 8 = 8x + 4[/tex]

Next, you have to move all the like-terms to one side :

[tex]2x - 8 - 8x = 4[/tex]

[tex] - 6x = 4 + 8[/tex]

[tex] - 6x = 12[/tex]

[tex]x = 12 \div ( - 6)[/tex]

[tex]x = - 2[/tex]

Answer:

[tex]x = - 2[/tex]

Step-by-step explanation:

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

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

length (l) = 3 ft

Width (w) = 3 ft

Height (w) = 6 ft

Surface area = 2*( lw  + wh + hl)

                    = 2* (3*3 + 3*6 + 6*3)

                    = 2*(9 + 18 + 18)

                   = 2 *  45

                   = 90 square ft

Answer:

Third option.

Hope it helped.

Answer:

I think its C

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

→ Utilise Pythagoras theorem

a² + b² = c²

→ Substitute in the values

10² + 24² = c²

→ Simplify

100 + 576 = c²

→ Simplify further

676 = c²

→ Square root both sides to isolate c

26 = c

Answer:

You can use our formula for the surface area of a rectangular prism for a cube as well. A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Answer:

The x-coordinate of A is:

a = 6.1

Step-by-step explanation:

For point A:

x-coordinate = a

x-coordinate + y-coordinate = 14

y-coordinate = 14 - x-coordinate

y-coordinate = 14 - a

So point A can be written as (a, 14-a)

Let (a,14) be (x₁,y₁)

Point P can be written as (3a, a²+13a-11)

Let P be (x₂,y₂)

Slope of a line passing through 2 point is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m=7

Substitute all values

[tex]7=\frac{(a^2+13a-11)-(14-a)}{3a-a}\\7=\frac{a^2+13a-a-11-14}{3a-a}\\7=\frac{a^2+12a-25}{2a}\\14a=a^2+12a-25\\a^2-2a-25=0\\a=6.1,a=-4.1[/tex]

As A has only positive coordinates

a = 6.1

Answer:

x =3.

Step-by-step explanation:

This is an isosceles triangle  so the 2 sides opposite the equal angles are congruent.

So  3x + 2 = 11

3x = 9

x = 3.

Answer:

49 and 2/3

Step-by-step explanation:

3x+2+18+11=180

3x+31=180

3x=149

x=49 and 2/3

Answer:

27

Step-by-step explanation:

18/40 = 27/60

Answer:

27 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The side opposite to the biggest angle be longest side.

110 + 28  + ∠H= 180  { sum of all angles of triangle }

138 + ∠H = 180

∠H= 180 -138

∠H = 42°

Shortest side is opposite to 28°    =====> FH

Next shortest side is opposite  to  42°  =========> GF

The longest side is opposite to 110°   =======> GH

The answer is:

FH , GF , GH

Answer:

FH , GF , GH

Step-by-step explanation:

Answer:

I'm not sure which you mean, so I'll give the answer to both:

[tex]70 X 10^2 = 7000\\(70x10)^2 = 490000[/tex]

Answer:

D

Step-by-step explanation:

18(Side of HIJK)/6(Corresponding side of STUV) = 1/3

Answer:

About 188.71 feet

Step-by-step explanation:

The cosine of an angle is equivalent to the adjacent side divided by the length of the hypotenuse. Therefore:

[tex]\cos 58=\dfrac{100}{x} \\\\x=\dfrac{100}{\cos 58}\approx 188.71[/tex]

Hope this helps!

Answer:

x = 188.71

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 58 = 100/x

Multiply by x

x cos 58  = 100

Divide by cos 58

x = 100/cos 58

x =188.7079915

To the nearest hundredth

x = 188.71

Answer:

d

Step-by-step explanation:

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

4 * 1/3. You would do 4*1 over 3, which gives you 4/3.

The answer is 78

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 78[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

a) The graph is a horizontal shift of the parent function 2 units right.

Step-by-step explanation:

Explanation:-

Type of transformation                       Change to co-ordinate point

Vertical translation up 'd' units                   (x,y) →(x ,y+d)

Vertical translation down 'd' units               (x,y) →(x ,y- d)

Horizontal translation left 'c' units               (x,y) →(x-c ,y)

Horizontal translation right 'c' units            (x,y) →(x+c ,y)

Reflection over X-axis                                   (x,y) →(x ,-y)

Reflection over y-axis                                    (x,y) →(-x ,y)

Given graph  f(x)  = √x

The graph is a Horizontal shift of the parent function  '2' units  right

Therefore the transformation of the graph [tex]y = \sqrt{x+2}[/tex]

Answer:

Step-by-step explanation:

1) (x + 5)(x + 8)

=x(x +8)+5(x + 8)

=x^2+8x+5x+40

=x^2+13x+40

2)(x-1)(x+3)

=x(x+3)-1(x+3)

=x^2+3x-1x-3

=x^2+2x-3

3)(x-2)(x+9)

=x(x+9)-2(x+9)

=x^2+9x-2x-18

=x^2+7x-18

4)(2x+2)(x+9)

=2x(x+9)+2(x+9)

=2x^2+18x+2x+18

=2x^2+20x+18

5)(x-7)(3x+2)

=x(3x+3)-7(3x+2)

=3x^2+3x-21x-14

=3x^2-18x-14

NUMBER 1

(x + 5)(x + 8)

- factor the x

=x(x +8)+5(x + 8)

-Distribute

=x^2+8x+5x+40

-Combine like terms

=x^2+13x+40

-Final answer

NUMBER 2

(x-1)(x+3)

-Factor

=x(x+3)-1(x+3)

-Distribute

=x^2+3x-1x-3

-Combine like terms

=x^2+2x-3c

NUMBER 3

(x-2)(x+9)

-Factor

=x(x+9)-2(x+9)

-Distribute

=x^2+9x-2x-18

-Combine like terms

=x^2+7x-18

-Final answer.

NUMBER 4

(2x+2)(x+9)

-Factor

=2x(x+9)+2(x+9)

-Distribute

=2x^2+18x+2x+18

-Combine like terms

=2x^2+20x+18

-Final answer.

NUMBER 5

(x-7)(3x+2)

-Factor

=x(3x+3)-7(3x+2)

-Distribute

=3x^2+3x-21x-14

-Combine like terms

=3x^2-18x-14

-Final answer.

Answer:

Step-by-step explanation:

1. 6 L = 6000 mL

2. 54000 mL = 54 L

3. 11000 mL = 11 L

4. 13 L = 13000 mL

5. 23500 mL = 23.5 L

6. 0.201 L = 201 mL

Answer:

1. = 6000 ML 2.= 13000 ML 3.= 54 L 4.= 23.5 L 5.= 11 L 6.= 201 ML

Step-by-step explanation:

too find answer for ML divide it by 1000

and for L multiply it by 1000

Answer:

c = 2500

Step-by-step explanation:

[tex]x^2+100x + c\\x^2+2\times 50\times x + (50)^2\\=x^2+2\times 50\times x + 2500\\=x^2+100 x + 2500\\equating \: it \: with\: \\x^2+100x + c\\we\; find:\\c = 2500[/tex]

Answer:

c = 2500

Step-by-step explanation:

x² + 100x + c  where c = ?

100 x :    100x / 2x = 50

(50)² = 2500

HOPE ITS HELPFUL!!

Answer:

x≈47.4

Step-by-step explanation:

Use sine, since the triangle is a right triangle and doesn't have any special properties.

sin28=x/101

101*sin28=x

solving this, you get that x≈47.4.

Answer:

Cylinder B

Step-by-step explanation:

V = [tex]\pi r^{2} h[/tex]

Cylinder A : π × 3² × 5 = 141.37

Cylinder B: π × 5² × 3 =235.62

Answer:

-12°F o -11°F.

Step-by-step explanation:

We have two statements, which are the following:

- the temperature In Pittsburgh Is -13 ° F

- the temperature in Cleveland Is-10 ° F

Then they tell us, "the temperature in Chicago is higher than the temperature in Pittsburgh"

Which means that the statement that helps us is the first, which is the one that tells us about Pittsburgh, now, a higher number since it is a higher temperature, we know that when a number is negative, the higher the number is , actually the number is less, therefore the temperature should be at least -12 ° F or -11 ° F. That is, anyone with sense between the city's temperature ranges greater than -13.

Answer:

67

Step-by-step explanation:

you add the length

Answer:

$51.75

Step-by-step explanation:

15% of 45 or .15*45 will equal $6.75. Then you add that onto the $45 and you'll get your anwser, $51.75.

Answer:

6/10

Step-by-step explanation:

i'm right