simplify this equation

From figure we have , ∠GFH = 80°  and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°

Now,

In ∆HGF

Since Sum of the angles of a triangle is 180° :  

∠GFH + ∠HGF + ∠GFH = 180°

80° + 60° + 40° = 180°

14° + 40° = 180°

54° = 180° ………..(1)

∠GFH + ∠GFE = 180° [Linear pair]

80° + x° = 180°

x° = 180°-80°

x° = 100°

Hence the value of ∠x is 100°

Among the given options option (D) 100° is correct.

also read similar questions: EFG and ∠GFH are a linear pair, m∠EFG 3n+23, and m∠GFH 4n+17. What are m∠EFG and m∠GFH?...

https://brainly.com/question/1617686?referrer

Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh...

https://brainly.com/question/4787517?referrer

Answer:

Step-by-step explanation:

h≈1.91cm

Answer:

192

Step-by-step explanation:

multiply by each side to find the answer. 4x2 is 8 and 8 x 24 is 192. Which ever order you multiply the numbers in you will always get 192. Hope this helps ^^

Given that:

x² + 5x - 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 1 × 6 = 6

→Difference of the constant term and the coefficient of x² = 6 - 1 = 5

Now the given equation can be written as,

⇛x² + 6x - 1x - 6 = 0

(Here we simply applied the correc sign and splitted the middle term in two terms)

Now let's take the common terms

⇛x(x + 6) - 1(x + 6) = 0

On grouping we get,

⇛(x - 1)(x + 6) = 0

Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.

⇛(x - 1) = 0 or (x + 6) = 0

⇛x - 1 = 0 or x + 6 = 0

⇛x = 1 or x = -6

Here we got two solutions of the equations. This means thet are in correct form.

Answer: The value of X is 1 or -6.

also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..

https://brainly.com/question/1296240?referrer

solve the equation x^2+5x+6=0

https://brainly.com/question/22261612?referrer

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.

La regla de três es:

10 obreros - 336 días

15 obreros - x días

Aplicando multiplicación en línea:

[tex]15x = 336(10)[/tex]

[tex]x = \frac{336(10)}{15}[/tex]

[tex]x = 24[/tex]

15 obreros hacerían el mismo complejo en 24 días.

Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636

Answer:

b)  ±2

Step-by-step explanation:

3x² = 12

divide each side by 3 to get:

x² = 4

x = ±2

The value of the equation 3x² = 12 is x = ±2.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 6 is an equation.

We have,

3x² = 12

Divide 3 on both sides.

x² = 4

x = ±√4

x = ±2

Thus,

The value of x is  ±2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

45

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

Answer:

5/9

step by step follow up

The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

The points on the graph are given as:

[tex](x,y) = (-3,3)[/tex] --- the inflection point

[tex](x,y) = (0,4.5)[/tex] --- the y-intercept

The function that satisfy the above points is:

[tex]y = \sqrt[3]{x+3} + 3[/tex]

The proof is as follows:

At the inflection point, we have the x value to be -3.

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{-3+3} + 3[/tex]

[tex]y = \sqrt[3]{0} + 3[/tex]

[tex]y = 0+ 3[/tex]

[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3

Also, at the y-intercept, we have the x-value to be 0

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{0+3} + 3[/tex]

[tex]y = \sqrt[3]{3} + 3[/tex]

[tex]y = 1.45+ 3[/tex]

[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0

Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

Read more about graphs and functions at:

https://brainly.com/question/25918641

Answer:

D

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

-3 + 5x = 42

add 3 to both sides

5x=45

divide both sides by 5

x=9

Answer:

x=9

Step-by-step explanation:

The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.

The correct responses are;

Reasons:

The velocity of the brick as it reaches the ground is given by the formula;

v² = 2·g·h

v = √(2·g·h)

Where;

h = The height of the brick, h = 1.6 m

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s

(a) Momentum = Mass × Velocity

The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s

(b) Impulse = Force × Δt = Mass × Δv

Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s

Therefore, the impulse = 44.8 N·s

(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m

Initial energy in the brick, E = m·g·h

Which gives;

E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J

Energy = Force × Distance

[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]

The average force the carpet exerts, F = 6,278.4 N

(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;

Distance = 6.0 cm = 0.06 m

Therefore;

[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]

The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N

Learn more about force and energy here:

https://brainly.com/question/6366228

https://brainly.com/question/528149

Answer:

no solution hsjsjsjsjsjsjsnsnwnsnsnsnskwk

Answer: it’s A

Step-by-step explanation: I just did the quiz

This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]

Here 5[tex]\neq 3[/tex]

Hence inequality holds

#2

[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]

[tex]\\ \sf\longmapsto 7-7=7-7[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Equality holds

#3

[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]

Equality holds

Done

Answer:

Hope it will help you...

Answer:

0.86

step by step explain:

first you want to get a calculator and you want to put in 5.56 divide 6.42

Answer:

= 0.866

Step-by-step explanation:

By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.

Then we have the equation: 556 ÷ 642 = 0.866

and therefore: 5.56 ÷ 6.42 = 0.866

both calculated to three decimal places.

Equation:

The actual equation is attached below as an attachment.

Message:

Hope this helps! I am not the best at math, so sorry if I got it wrong.

Answer:

-2/9

Step-by-step explanation:

if the line is parallel it has the same slope.

The equation can be written as y = -2/9x - 35/9

so the slope is -2/9

Answer:

16

Step-by-step explanation:

80% of 20 is 16

Answer:

25

Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.

Answer:

y = 7

Step-1: Subtract 8 both sides

⇒ [tex]36 = 4y + 8[/tex]

⇒ [tex]36 - 8 = 4y + 8 - 8[/tex]

⇒ [tex]28 = 4y[/tex]

Step-2: Divide 4 both sides

⇒ [tex]28 = 4y[/tex]

⇒ [tex]\frac{28}{4} = \frac{4y}{4}[/tex]

⇒ [tex]7 = y[/tex]

this answers is 8 am I right

Answer:

The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

Hope that helps.

Answer:

Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.

Step-by-step explanation:

i hope it helpful:)

Given quadrant equation:

3x² + 9x + 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 3 × 6 = 18

→ Sum of coefficient of x² ans constant term = 3 + 6 = 9

So the given equation can be written as,

⇛3x² + 6x + 3x + 6 = 0

On taking the common terms, we get

⇛3x(x + 2) + 3(x + 2) = 0

On grouping the common terms, we get

⇛(3x + 3)(x + 2) = 0

Here either (3x + 3) = 0 or (x + 2) = 0. So,

⇛3x + 3 = 0 or x + 2 = 0

⇛3x = -3 or x = -2

⇛x = -3/3 or x = -2

⇛x = -1 or x = -2

also read similar questions:- These are the two roots of the equation.

Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?

https://brainly.com/question/11808722?referrer

Answer:

The answer is 6 cause khan acadamy

Step-by-step explanation:

Answer:

[tex]y=3x+37[/tex]

Step-by-step explanation:

Determine slope:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]49=3(4)+b[/tex]

[tex]49=12+b[/tex]

[tex]37=b[/tex]

Final equation:

[tex]y=3x+37[/tex]