Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ​

Answer:

x=5

Step-by-step explanation:

In this equation, we need to find x. According to the Vertical Angles Congruence Theorem, all vertical angles are congruent. Therefore, because angles (2x+12) and (8x-18) are vertical angles, they are congruent. We can set this up as an equation and simply solve for x:

2x+12=8x-18   Subtract 2x from both sides.

-2x      -2x

12=6x-18         Add 18 to both sides.

+18    +18

30=6x             Divide both sides by 6.

/6   /6

5=x

I hope this helps!! Have an amazing day :)

Answer:

x = 5

Step-by-step explanation:

The two angles have the same degree because of the Vertical Angles rule. This means that if angles are vertical, then they are congruent. Therefore, we can solve for x by setting the two angles equal to each other.

2x + 12 = 8x - 18

    + 18         + 18

2x + 30 = 8x

-2x          -2x

30 = 6x

÷6    ÷6

5 = x

We can then double check this by inputing x back into the equations

2x + 12 = 2(5) + 12 = 10 + 12= 22

8x - 18 = 8(5) - 18 = 40 - 18 = 22

These check out so x = 5

I hope this helped :)

Answer:The F-5 is an agile, highly maneuverable, reliable supersonic fighter, combining advanced aerodynamic design, engine performance and low operating costs. ... The U.S. Navy operates the F-5 in its adversary squadrons to simulate enemy aircraft in aerial combat training exercises.

Answer:

y = 70°

Step-by-step explanation:

4x - 50 and 2x + 30 are equal, because they are corresponding angles

4x - 50 = 2x + 30

4x = 2x + 80

2x = 80

x = 40°

The angle below 2x + 30 = y, because they are vertical angles

Since we know what x is, we can substitute x from 2x + 30

And since two angles that take up a line are 180°, we can add them

2(40) + 30 + y = 180

80 + 30 + y = 180

110 + y = 180

y = 180 - 110

y = 70

-Chetan K

Answer:

1133232323232332323332

Step-by-step explanation:

Answer: 1133232323232332323332

Step-by-step explanation:

Answer:

[tex]\sf The \: answers\: are \:attached[/tex]

_________________

Answer:

B= (-1, 7)

Step-by-step explanation:

Midpoint formula is X1 plus X2, then divided by 2. So, because the midpoint is given you work backwards. So for the x value do (-3 + x) divided by 2 equals -2 and solve for x and you do the same thing for the Y value

Answer:

He can pay for 5 friends plus himself while staying within the budget.

Step-by-step explanation:

No parents are allowed in.

45 + 5.5p = 80    80-45=35   5.5p = 35   35/5.5 = 6.4

So he can pay for himself plus 5 people, and probably a drink.

Hope this helps!

Answer:

T-.5 = x (200)

Step-by-step explanation:

Let T = total time in hours

30 mn = .5 hours  30 /60 = .5

$ 2.00 is the rate per hour.

so  T − .5 =  the time that will be charged at the rate

Therefore the  total charge is then

T − .5 × 2.00

Answer:

([ 1 ], [ 2 ], [ 3 ])

Step-by-step explanation:

y – 3z = -7; z = 3 => y = 2

x + 4y +z = 12 => x + 4(2) + 3 = 12 => x = 1

([ 1 ], [ 2 ], [ 3 ])

Answer:

First you have to understand a one cupcake has 1/6 pound of dough.

Then to calculate the number of cupcakes, divide the total 36 pounds of dough by a 1/6 pound.

36/(1/6)

= 36 ×(6/1)

= 216 cupcakes

Answer: 216 cupcakes can be made

Step-by-step explanation:

Given information

36 pounds of dough in total

⅙ pound of dough per cupcake

Set variables

Let x be the number of cupcakes that could be made

Set equations from given information

Total = unit × number

36 = (1/6) × x

Multiply 6 on both sides to isolate [x] variable

36 × 6 = (1/6) × x × 6

216 = 1 × x

[tex]\boxed{x=216}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

t = d/r

Step-by-step explanation:

Given the equation, d = rt for t:

Switch sides:

rt = d

Divide both sides by r to isolate t:  

[tex]\frac{rt}{r} = \frac{d}{r}[/tex]

t = d/r

Answer:

Where is your attachment or question

x=−11/2=−5/2 1 =−5.5

Answer:

? =64.62306

Step-by-step explanation:

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

cos theta = adjacent side / hypotenuse

cos ? = 3/7

Taking the inverse cos of each side

cos ^-1 ( cos ? ) = cos ^-1 (3/7)

? =64.62306

Answer:

The angle is approximately 23°

Step-by-step explanation:

let the angle be ∆

using trigonometrical identity,

tan ∆=3/7

tan∆=0.4286

∆=tan^-1(0.4286)

∆=23.19°

Answer:

Step-by-step explanation:

9x-1 + 5x-15 =180, 14x-16=180, x = 14

9x-1 + y-20 = 180, 126-1-20+y =180, y = 105

Answer:

The picture is to small.

Step-by-step explanation:

To small.

Answer:

6.71

Step-by-step explanation:

Using the distance formula:

[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

= √(-1-5)^2 + (8-5)^2

= √36 + 9

= √45

= 3√5 <- Optional

= 6.70820393

≈ 6.71

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

[tex]3\sqrt{5}[/tex]

Decimal form: 6.70820393 …

Step-by-step explanation:

The length of this line can be found by using the distance formula:

[tex]{\sqrt (}(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})[/tex]

Step 1: Plot the coordinates of both points.

Step 2:  Evaluate the x-axis and y-axis distance between the points.

Step 3:  Square both results.

Step 4: Add the squared results.

Step 5: The answer lies in the square root of the equation.

Answer:

it is 2.35

Step-by-step explanation:

Answer:

D = 0, x = -3

Step-by-step explanation:

D = b*b - 4ac = 36 - 4*9 = 36 - 36 = 0

x = -b/2a since D = 0, so

x = -6/2 = -3

Answer:

74

Step-by-step explanation:

subtract a from b

√64.93 units

Step-by-step explanation:

Let point A and B be x and y.

Distance=√(x)²+(y)²

=√(64)²+(-11)²

=√4096+121

=√4217

√64.93 units

Answer:

(x²+1)(x²-1)⁶ = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1

Step-by-step explanation:

Pascal triangle 6th row for (a + (-b))⁶;  ... for (x²-1)⁶

a⁶+6a⁵(b)¹+15a⁴(b)²+20a³(b)³+15a²(b)⁴+6a(b)⁵+1*(b)⁶   .. a=x²   b = -1

= x¹²+6x¹⁰(-1)¹+15x⁸(-1)²+20x⁶(-1)³+15x⁴(-1)⁴+6x²(-1)⁵+1*(-1)⁶

= x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1

(x²+1)(x²-1)⁶ = (x²+1)(x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1)

                  = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1

Answer:

x=15

Step-by-step explanation:

Rate as BRAINLIEST

JM = 4x-29

4x-29 = 6+13 +2x-18

4x -29 = 19 +2x -18

4x -29 = 1 +2x

2x -29 = 1

2x = 30

x = 15

Answer: The area is 12 inches

Step-by-step explanation:

If the bigger one is 24 inches, and the bigger one is two times the size of the smaller one, the smaller one is 12 iches

Answer:

12(2A+B)=12*3

Step-by-step explanation:

Answer:

[tex]12[/tex]

Step-by-step explanation:

We know that [tex]24=12*2[/tex], [tex]12=12*1[/tex], and [tex]36=12*3[/tex].

So, we can re-write the equation as [tex]12*2*A+12*1*B=12*3[/tex].

We can factor out a [tex]12[/tex] from both sides to get [tex]12(2A+B)=12(3)[/tex].

The insides can't be simplified anymore, so the final equation is [tex]12(2A+b)=12(3)[/tex] and the gcf is [tex]\boxed{12}[/tex]

It is -5/6

I here is the anwer

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:

x=70

Step-by-step explanation:

The angle type is a verticle angle as such they are congruent.

Answer:

The answer is 70

Step-by-step explanation:

70 is across from X and because of this it equals 70. Ignore line I and thing of a 180 degree straight line if you have 70 then the other side is going to equal 110 so its the same for below the line.