In ΔDEF, ∠DEF measures 30°, ∠EFD measures 60°, and ∠FDE measures 90°. Suppose the triangle were reflected. Which of these statements would be correct about the resulting triangle?

The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

Combine like terms

Add 6 to both sides

Divide both sides by 6

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides

(11)

given 2 sides 2, 6 , then

6 - 2 < x < 6 + 2

4 < x < 8

(12)

Given 2 sides 4, 12 , then

12 - 4 < x < 12 + 4

8 < x < 16

(13)

Given 2 sides 2, 11 , then

11 - 2 < x < 11 + 2

9 < x < 13

Answer:

its 5  can you answer mine please

Answer:

Step-by-step explanation:

Answer:

x=1 or x=−2

Step-by-step explanation:

16x2+10x−27=−6x+5

Step 1: Subtract -6x+5 from both sides.

16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)

16x2+16x−32=0

Step 2: Factor left side of equation.

16(x−1)(x+2)=0

Step 3: Set factors equal to 0.

x−1=0 or x+2=0

x=1 or x=−2

Answer:

x = 4

PLS LOOK AT THE PIC I HAVE SENT YOU, HOPE THIS WILL HELP YOU!

Answer:

x = 1/4

Step-by-step explanation:

11 + 22x = 9 + 30x

subtract 22x from both sides

11 = 9 + 8x

subtract 9 from both sides

2 = 8x

divide both sides by 8

2/8 = x

simplify

1/4 = x

Answer: Mulan= Shan yu

Kuzko= Yzma

Hercules= hades

Step-by-step explanation:

Let the red cat be represented by x.

Let the yellow cat be represented by y.

Let the white cat be represented by z.

Which means :

[tex] \tt (1) \: \frac{4}{5} (20x - 5)[/tex]

[tex]\tt = \frac{4}{5} \times 20x - \frac {4 }{5} \times 5[/tex]

[tex] \tt= \frac{80x}{5} - \frac{20}{5} [/tex]

[tex]\tt = 16x - 14[/tex]

Thus, the first statement is correct.

[tex]\tt(2) \: \frac{3}{5} ( \frac{1}{3} z - 10)[/tex]

[tex]\tt = \frac{3}{5} \times \frac{1}{3} z - \frac{3}{5} \times 10[/tex]

[tex]\tt = \frac{3}{15} z- \frac{30}{5} [/tex]

[tex]\tt = \frac{1}{5} z - 6[/tex]

Thus, the second statement is a lie.

[tex]\tt(3) \: \frac{1}{9} ( - 9y - 27x)[/tex]

[tex] \tt= \frac{1}{9} \times - 9y - \frac{1}{9} \times 27x[/tex]

[tex]\tt = \frac{ - 9}{ \: \: 9} y - \frac{27}{9} x[/tex]

[tex]\tt = (- y) - 3x[/tex]

Thus, the third statement is correct.

Therefore, the second one is a lie.

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

Answer: No solution

Step-by-step explanation:

I don’t know if you want to see if (-9,4) is infinitely many solution, one solution, or one solution

Answer:

the answer is 5 3/8

Step-by-step explanation:

the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together

Answer:

divisor

Step-by-step explanation:

I just looked it up bro lol

Answer:

Divisor

Step-by-step explanation:

It's called the "divisor"

Answer:

3

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

83 * 2 = 9x + 40

166 = 9x + 40

9x = 126

x = 14

Answer:

4 children per counselor

Step-by-step explanation:

Since the question is asking children per counselor, divide the children/counselor. Check all of the rows by dividing the children by counselor to make sure the constant of proportionality is correct. If you divide correctly, the constant of proportionality you get is 4.

Hope it helps!

Answer:

there is 4 students per conceler.

Step-by-step explanation:

please mark as brainllist.

Answer:

A

Step-by-step explanation:

Answer:

785 m

Step-by-step explanation:

Brainliest, pleeeeaseee??? Thanks I love YOUUUUUU

Answer:

$5.70

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{64}[/tex]

Step-by-step explanation:

[tex](-32)^{-1.2} = \dfrac{1}{(-32)^{\frac{6}{5}}} = \dfrac{1}{(\sqrt[5]{-32})^6}} = \dfrac{1}{(-2)^{6}} = \dfrac{1}{64}[/tex]

Answer: a

Step-by-step explanation:

Answer:

line d

Step-by-step explanation:

Answer:

118°

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees.

From the question,

Angle A=(2x-10)°

Angle B=(x-2)°

Both Angles are complementary.

Therefore

Step 1

(2x - 10)° + (x - 2)° = 180°

2x + x - 10 - 2 = 180°

3x - 12 = 180°

3x = 180° + 12

3x = 192°

x = 192/3

x = 64°

Step 2

We are to solve for Angle A

(2x-10)°

Angle A = 2(64 ) - 10

Angle A = 128 - 10

Angle A = 118°

The measure of Angle A = 118°

Answer:

-3, -7

Step-by-step explanation:

either x + 3 = 0 --> x = -3

or x + 7 = 0 --> x = -7

Answer:

(-3,0) and (-7,0)

Step-by-step explanation:

Answer:

Step-by-step explanation: 3/5 of 25 is 15 so they will win 15 games

Answer: The answers are in order

6(n-9)=54

5x=35

3x-6

1/2(y+12)=7

Step-by-step explanation:

Answer:

Stays the same. OR Standard form: 9x^2+3x+8

Step-by-step explanation:

You can't factor it. When you add them it's the same bc, you can't combine anymore like terms. let me know if this helps at all? What is your objective? Tryna factor? Add polynomials? ???

Step-by-step explanation:

Hope the above solution helps

When x = 0.8, D. is correct

2.01 > 2.5(0.8)

2.01 > 2 √

Answer:

D.

Step-by-step explanation:

D is the correct answer choice because once you substitute 0.8 with x and multiply, 2.5 and 0.8.

2.5 · 0.8=2

2.01 is greater than 2

The statement is correct.