Angle FGH is a right angle.
The measure of angle JGH is 35º.
The measure of angle FGJ is xº
What is the value of x?
H
350

Answer:

11.6

Step-by-step explanation:

a^2 + b^2 = C^2

121 + b^2=  256

b^2 = 135

b = 11.6

Answer:

midpoint is at (6.5, 6) im pretty sure, im sorry if im wrong

Step-by-step explanation:

Answer:

La altura de la torre es de 4,0052 m.

Step-by-step explanation:

En la figura vemos que la persona está parada en C y la bandera en A.

Se dan la base y la hipotenusa, tenemos que encontrar la altitud / altura / perpendicular del triángulo.

Según el teorema de Pitágoras

hipotenusa² = base² + perpendicular²

o

perpendicular² = hipotenusa²- base²

perpendicular² = 5.39²- 2²

perpendicular² = 29.0521-4

perpendicular² = 25.0521

perpendicular = √25.0521

perpendicular = 5.0052m

Ahora, en el punto A, la altura de la bandera se incluye en la altura de la torre.

La longitud de la bandera se deduce para obtener la altura real de la torre.

perpendicular = longitud de la bandera + altura de la torre

altura de la torre = perpendicular - longitud de la bandera

            = 5.0052-1 = 4.0052m

La altura de la torre es de 4,0052 m.

From the figure we see that the person is standing at C and the flag is at A.

The base and the hypotenuse are given we have to find the altitude / height/ perpendicular of the triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

or

perpendicular²= hypotenuse²- base²

perpendicular²= 5.39²- 2²

perpendicular²= 29.0521-4

perpendicular²= 25.0521

perpendicular= √25.0521

perpendicular= 5.0052m

Now at the point A the height of the flag is included in the height of the tower.

The length of the flag is deducted to get the actual height of the tower.

perpendicular= flag length  + tower height

tower height = perpendicular - flag length

            =5.0052- 1= 4.0052m

The tower height is 4.0052m

Answer:

c = 10

Step-by-step explanation:

3 is to 6 as 5 is to c:

 3       5

----- = -----

  6       c

Then 3c = 30, and c = 10

Answer:

B

Step-by-step explanation:

Answer:

2.4 x 10²

Step-by-step explanation:

1.44/6 x 10^8-5 = .24 x 10³ which is 240

Answer:

B and E

Step-by-step explanation:

To verify which are solutions, substitute the given values into the left side of the equation and if equal to the right side then they are solutions.

A

2(20)² + 18(20) = 800 + 360 = 1160 ≠ 20 ← not a solution

B

2(1)² + 18(1) = 2 + 18 = 20 ← solution

C

2(- 2)² + 18(- 2) = 2(4) - 36 = 8 - 36 = - 28 ≠ 20 ← not a solution

D

Is a repeat of C

E

2(- 10)² + 18(- 10) = 2(100) - 180 = 200 - 180 = 20 ← solution

F

2(- 1)² + 18(- 1) = 2(1) - 18 = 2 - 18 = - 16 ≈ 20 ← not a solution

Then B and E are solutions to the equation

[tex] \huge \mathrm{Answer࿐ }[/tex]

let's solve the quadratic equation :

So, there are two cases :

Case - 1 (when, 2x - 2 = 0)

Case - 2 (when, x + 10 = 0)

Therefore the required options will be :

0 solutions.

4x+2 is not = 4x+6

Therefore there will be Jo solutions

Answer:

no solutions

Step-by-step explanation:

Given the 2 equations

y = 4x + 2 → (1)

y = 4x + 6 → (2)

Substitute y = 4x + 2 into (2)

4x + 2 = 4x + 6 ( subtract 2 from both sides )

4x = 4x + 4 ( subtract 4x from both sides )

0 = 4 ← not possible

This indicates the system has no solution

Answer:

86.1 I believe because I'm assuming you meant 2.87

Step-by-step explanation:

[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]

Answer:

Step-by-step explanation:

divide each term by 2 to begin with x²

x² + 4x - 1/2 = 0

now add 1 to each side

x² + 4x = 1/2

now divide 4 in half and square the result and add it to each side

x² + 4x + 4 = 1/2 + 4

(x + 2)² = 9/2

Answer:

for the empty box in the -4 column put -8 and for the empty box in the 6x column put -18

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

Answer: C

Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.

Answer:

26

Step-by-step explanation:

Answer:

maybe 2 minutes?

Step-by-step explanation:

not sure im so sorry!

Answer:

[tex]first \: 4z \: second \: 11[/tex]

Answer:

=4z+6+5

=4z+11

Try this

Answer:

A

Step-by-step explanation:

Answer:

1.6$

Step-by-step explanation:

6.4/4=1.6

Answer:

Emily is solving the following system of equations using substitution:

y = 3x - 4

y = 2x + 1

Part A:

After substituting y's values:

3x - 4 = 2x + 1

What she did:

3x - 4 = 2x + 1

3x + 2x - 4 = 1

5x - 4 = 1

What she should have done:

3x - 4 = 2x + 1

3x - 2x - 4 = 1

x - 4 = 1

Part B:

This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.

Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.

[tex][/tex]

i can't see the 4th option but from what i can see, i'd say 20 (b).

i didn't do math for this, i just used context clues.

the hypotenuse is always longer than either of the sides, so if the hypotenuse is 29, then the only logical solution is 20 feet. every other option is >29.

Answer:

Hello! answer: 20 feet

Step-by-step explanation:

29 × 29 = 841 21 × 21 = 441 841 - 441 = 400 √400 = 20 20 × 20 = 400 therefore 20 is the answer Hope that helps!

Answer:

The answer of this question is 8.06 cm.

Step-by-step explanation:

I came to know my answer is correct because hypotenuse is bigger than base and perpendicular in right anhled triangle.

Answer:

117 cubic feet.

Step-by-step explanation:

volume of a cone is found by doing radius times pi times height. so we would do 4 times 7 times 3.14 for pi and get 117.29

Answer:

70%

Step-by-step explanation:

there is 10 and 7 of them are filled which is 7/10 since we are dealing with percentages we need the bottom to be 100 so 70/100 or 70%

- Gage Millar, Algebra 2 tutor

Answer:

Below

Step-by-step explanation:

I would say 70%

It is split up into 10 parts, 7 are shaded,

7 to 10 would be as 70% is to 100%

Answer:

angle P=38°

angle Q = 38° [ Because this traingle is a isosceles triangle]

Step-by-step explanation:

This is just a guess I haven't done this in a long time

Take the Initial Angle ( 164 degrees )

subtract that from 180

you get 16

since the two unknown angles are parallel they are going to have the same angle

since there are two you divide 16 by 2

each angle is 8 degrees

Answer:

(x-5)(x+1)

so x =5

Not a lot of steps involved cause I did it mentally

Hope that answers your question

Step-by-step explanation:

Answer:

= 2 7/12

Step-by-step explanation:

We solve the above question using the operation of addition.

2 1/3 + 1/4

Lowest common denominator = 12

2 + ( 1/3 + 1/4)

2 + (4 × 1 + 3 × 1/12)

2 + (7/12)

= 2 7/12