What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°

Answer:

x = √75

Step-by-step explanation:

We can write out all relations of each triangle here using the Pythagorean theorem (there are 3 triangles total). The triangles are ABD, BCD, and ABC.

For triangle ABD:

AB² = AD² + BD²

AB² = (AC - DC)² + BD²

y² = (15 - 5)² + BD²

y² = 100 + BD²

For triangle BCD:

x² = BD² + 5²

x² = BD² + 25

For triangle ABC:

15² = x² + y²

225 = x² + y²

From here we can substitute into the equation ABC. We can substitute x² and y² with our first and second equations.

225 = BD² + 25 + 100 + BD²

225 = 2BD² + 125

100 = 2BD²

50 = BD²

We don't need to solve for BD, we can substitute it into our equation for triangle BCD to solve for x.

x² = BD² + 25

x² = 50 + 25

x² = 75

x = √75

Answer:

because two angles are equal

Answer:

D

Step-by-step explanation:

took the test

To eliminate the y-terms and solve for x in the fewest steps , the first equation should be multiplied by 9 and the second equation by -4.

The equation is as follows:

5x - 4y = 28

3x - 9y = 30

To eliminate the y-terms and solve for x can be done as follows:

Multiply the equation(i) by 9

45x - 36y = 252

Multiply the equation(ii) by -4

Therefore,

-12x + 36y = -120

45x - 36y = 252

-12x + 36y = -120

y will be eliminated by adding the equations.

Therefore, to eliminate the y-terms and solve for x in the fewest steps , the first equation should be multiplied by 9 and the second equation by -4.

learn more on system of linear equation here: https://brainly.com/question/1348604?referrer=searchResults

Answer:

a dolphin swimming 100 feet below sea level

Step-by-step explanation:

Plato

Answer:

djhvfhdvfhdfjhdjf

Step-by-step explanation:

dhfhjegfjhdbjfhbdjfgsdj

Answer:

8.2, 10.5, 5.5

Step-by-step explanation:

To find: quotient when 7 is divided by 0.85, 9.6 is divided by 0.91 and 17.7 is divided by 3.2

Solution:

Division is one of the arithmetic operations.

7 divided by 0.85 = [tex]\frac{7}{0.85}=\frac{700}{85} =8.2[/tex]

9.6 divided by 0.91 = [tex]\frac{9.6}{0.91}=\frac{960}{91} =10.5[/tex]

17.7 divided by 3.2 = [tex]\frac{17.7}{3.2}=\frac{177}{32} =5.5[/tex]

Answer:

supplementary angles-either of two angles whose sum is 180°.

transformation- a change made to a shape or object

scalene triangle- a triangle with no equal sides

similar triangles-the same shape but not necessarily the same size

semi-circle- and arc measure up to 180 degrees

I hope this is good enough:

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

Answer:

El costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Step-by-step explanation:

A partir de la información proporcionada, puedes escribir las siguientes ecuaciones:

4x+8y=580 (1)

2x+3y=230.50 (2), donde:

"x" es el costo de alquiler de cada película y "y" es el costo de alquiler de cada juego de video.

Primero, puedes despejar x en (1):

4x=580-8y

x=145-2y (3)

Segundo, debes reemplazar (3) en (2):

2(145-2y)+3y=230.50

290-4y+3y=230.50

290-230.50=4y-3y

y=59.50

Tercero, debes reemplazar el valor de y en (3) para encontrar el valor de x:

x=145-2(59.50)

x145-119

x=26

De acuerdo a esto, la respuesta es que el costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Answer:

2

Step-by-step explanation:

f(2)=3(2)-4

hope this helps :)

Answer:

48°

Step-by-step explanation:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)

Two Angles are Supplementary when they add up to 180 degrees.

HENCE,

∠A + ∠B =180 (given)

⇒4x - 16 +8x + 4 = 180°

⇒12x - 12 = 180°

⇒12x = 192

⇒x = 16 ----1

substituting eq1 in ∠A,

=> 4(16) -16

=> 64 - 16

=> ∠A = 48°

Answer:

48

Step-by-step explanation:

The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this

4x-16+8x+4=180

combine like terms

12x-12=180

12x=192

divide to get x

x=16.

You need the measure of angle A so you plug it back in

4(16)-16

64-16

48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132

Answer:

3.5 hours so basically ur very smart and beautiful/handsome if asked this question and my God bless u and ur family and ur brain

Answer:

6 feet

Step-by-step explanation:

that is the answer

Answer:

x = 6 , y = -4

Step-by-step explanation:

Solve the following system:

{-9 y - 3 x = 18 | (equation 1)

3 y + 4 x = 12 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = 12 | (equation 1)

-(3 x) - 9 y = 18 | (equation 2)

Add 3/4 × (equation 1) to equation 2:

{4 x + 3 y = 12 | (equation 1)

0 x - (27 y)/4 = 27 | (equation 2)

Multiply equation 2 by 4/27:

{4 x + 3 y = 12 | (equation 1)

0 x - y = 4 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = 12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = 24 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 6 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 6 , y = -4

Answer:

25.2 feets

Step-by-step explanation:

Given that:

Rectangular shaped living room has the dimension:

21 feets by 14 feets

Length of diagonal :

Using Pythagoras :

A² = B² + C²

Diagonal² = 21² + 14²

Diagonal = √(441 + 196)

Diagonal = √637

Diagonal = 25.238

Diagonal = 25.2 feets ( nearest tenth)

Answer:

36

Step-by-step explanation:

Ok, so the expression we are given is [tex]x^{4}[/tex] ÷ 3 + 9.

We know that x = 3, so we need to substitute 3 in as x.

So, now the expression looks like [tex]3^{4}[/tex] ÷ 3 + 9.

Now we can solve this expression.

First we need to figure out what  [tex]3^{4}[/tex] is equal to.

1.  [tex]3^{4}[/tex] = 81

We're left with 81 ÷ 3 + 9.

Next, we need to divide our 81 by our 3.

2.  81 ÷ 3 = 27

Our new expression is 27 + 9.

Last, we need to add our 27 and our 9 together.

3.  27 + 9 = 36

Our answer is 36.

So [tex]x^{4}[/tex] ÷ 3 + 9 when x = 3 is 36.

Feel free to give brainliest.

Have a great day!

Answer:

6x+15

Step-by-step explanation:

Just do 3 times 2 so 6

Then 3 times 5 so 15

Answer:

Horizontal lines have a slope of zero no matter where the line is graphed. This is because the rise of any horizontal line will always be zero, regardless of the x values.

Answer:

1. D

2. D

Step-by-step explanation:

Answer:

i thinks it's D im not so sure but i think it's D

Step-by-step explanation:

5,682,850,003;

Five billion, six hundred and eighty two million, eight hundred and fifty thousand and three.

This is the Answer in written form.

Answer: Five billion, six hundred and eighty two million, eight hundred and fifty thousand and three or do you mean like this

5,682,850,003= 5,000,000,000 +600,000,000+80,000,000+2,000,000 +800,000 +50,000 +0 +0+0+3  

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

m=-4

n=3

p=12

m^2n+9p/√np

-4^2*3+9*12/√3*12

16*3+108/√36

48+108/√36

156/6

=26

Answer:

66/100 (or simplify to 33/50), 0.89

Step-by-step explanation:

Answer:

Obtuse

Step-by-step explanation:

because 121

Answer:

6

Step-by-step explanation:

because u add them together and get 41, which is 5.125 and that means you need one more than 5 tables to sit everyone

Answer:

b= 4a-c

Step-by-step explanation:

There isnt an actual number you can solve for here so just say what b equals to.

4a-b=c

Move b

4a=b+c

Move C

4a-c=b

Answer:

y=(1/2)x+3

Step-by-step explanation:

We can see that the slope is 1/2 because for every 1 unit y goes up, you move 2 units in the x direction. Then we can see that the y intercept is 3.

If we plug in these values to our equation for a line (y=mx+b), where m is the slope and b is the y-intercept, we get:

y=(1/2)x+3 or y=.5x+3