4. Determine the measure of angle 1 in the figure.

Step-by-step explanation:

1 < x + 3 < 6

1 - 3 < x < 6 - 3

-2 < x < 3

Answer:first one infinently

Step-by-step explanation:

The solution of the equation are:

1. 6(x-3)+4x=5(2x-4)-2 → No solution.

2. 2 − 6 − 3 = 5 − (4 + 2) → No solution.

3. 6(x - 2) + 8 = 3(2x - 4) → No solution.

4. 4x + 8 - 6x + 12 = 3(x + 7) - 5x - 1 → One solution.

1. 6(x-3)+4x=5(2x-4)-2

Step 1: Distribute the numbers outside the parentheses:

[tex]\(6x - 18 + 4x = 10x - 20 - 2\)[/tex]

Step 2: Combine like terms:

[tex]\(10x - 18 = 10x - 22\)[/tex]

Step 3: Isolate the variable on one side:

10x - 10x = -22 + 18

0 = -4

The equation 0 = -4 is not true.

It means that the variable x has canceled out, and both sides of the equation are not equal.

So, there is no solution for this equation.

2. 2 − 6 − 3 = 5 − (4 + 2)

Step 1: Perform operations inside parentheses and simplify:

2 - 6 - 3 = 5 - 6

Step 2: Continue simplifying:

-7 = -1

The equation -7 = -1 is not true.

So, there is no solution for this equation.

3. [tex]\(6(x - 2) + 8 = 3(2x - 4)\)[/tex]

Step 1: Distribute the numbers outside the parentheses:

[tex]\(6x - 12 + 8 = 6x - 12\)[/tex]

Step 2: Combine like terms:

6x - 4 = 6x - 12

Step 3: Isolate the variable on one side:

6x - 6x = -12 + 4

0 = -8

The equation 0 = -8 is not true.

So, there is no solution for this equation.

4. [tex]\(4x + 8 - 6x + 12 = 3(x + 7) - 5x - 1\)[/tex]

Step 1: Combine like terms on each side of the equation:

-2x + 20 = 3x + 20 - 1

Step 2: Continue simplifying:

-2x + 20 = 3x + 19

Step 3: Isolate the variable on one side:

-2x - 3x = 19 - 20

-5x = -1

Step 4: Solve for x:

[tex]\(x = \dfrac{-1}{-5} = \dfrac{1}{5}\)[/tex]

The equation  [tex]x = \dfrac{1}{5}[/tex] is true, which means that the variable x has a unique value that satisfies the equation.

So, there is one solution for this equation.

Learn more about Equation here:

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Answer:

B.) $58

Step-by-step explanation:

350-89-18-27-38-120 = 58

Answer:

B.) $58

Step-by-step explanation:

350-89=261 (who plays bo2 anymore)

261-18=243 (thats too cheap for coke)

243-27=216 (ew justin bieber smash it)

216-38=178 (finally its dead)

178-120=58 (RIP your broke)

B.) $58

Answer:

cant help sorry

Step-by-step explanation:

Step-by-step explanation:

X intercept, y = 0

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x + 5)(x - 3) = 0

x = -5 and x = 3

X - Intercept = (-5 , 0) and (3 , 0)

Answer:

Step-by-step explanation:

x^2 + 2x - 15 = 0

(x - 3)(x + 5) = 0

x = 3 or x = -5

left-most x-intercept: (-5, 0)

right-most x-intercept: (3, 0)

Explanation:

In the usual sense of the term "construct", it is impossible to create a triangle with the given measures. A ruler of some sort must be used in order to make it have the given perimeter. That means you're not doing the construction with a compass and (unmarked) straightedge.

Similarly, it is impossible to "construct" a 55° degree angle. Such an angle can be created using a protractor. (Angles that are multiples of 7.5° can be constructed, but 55° is not one of them.)

__

To make the perimeter be 15 units, at least one of the side lengths must be known. The side lengths will be proportional to the sines of the angles, so the scale factor for that can be found as ...

  k = 15/(sin(55°) +sin(60°) +sin(65°)) ≈ 15/2.59148 ≈ 5.78819

Then the side opposite the 65° angle, between the 55° and 60° angles, will be ...

  k·sin(65°) ≈ 5.24588 . . . . units

With this information, a ruler, and a protractor, the triangle of interest can be created.

(The first attachment is output from a triangle solver showing that the above measurements will result in a triangle with the desired perimeter.)

__

The steps could be as follows:

Using a ruler, create line segment AB of length 5.246 units. Using A as its vertex, mark an angle 55° from line AB, and draw its terminal ray. Using B as its vertex, mark an angle 60° from line AB, and draw its terminal ray. The intersection of those rays is point C of the desired triangle ABC. An example is shown in the second attachment.

Answer:

100.8 cm

Step-by-step explanation:

Area of square= side * side

let,

side=x

Substitute values in above formula:

635 [tex]cm^{2}[/tex]=x*x

[tex]x^{2}[/tex]=635 [tex]cm^{2}[/tex]

Taking square root on both sides:

x=25.2cm

side=25.2cm

Now, Permiter=4* side

Perimeter=4*25.2cm

Perimeter=100.8 cm

D.   a = ( y - k ) / ( x - h )^2

y = a ( x - h )^2 + k

=> y - k = a ( x - h )^2

=> ( y - k ) / ( x - h )^2 = a

Answer:

24

Step-by-step explanation:

24% = 1/4

8x4=24

Answer:

DCE is the angle with the same side interior angles

Answer:

The base angles of an isosceles triangle are the angles formed by the base and one leg of the triangle. The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.

In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base.

Two polygons are congruent if their corresponding sides and angles are congruent. Note: Two sides are congruent if they have the same length and angles are congruent if they have the same measure. Congruent polygons necessarily have to have the same shape and the same size.

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.

corollary is a proposition that follows from (and is often appended to) one already proved.

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Legs of a Right Triangle. The legs of a right triangle are the two sides that intersect to determine the right angle. The remaining side is called the hypotenuse. Sometimes it is required to solve a right triangle to find the length of one or both of the legs of the right triangle.

The equal sides of an isosceles triangle are known as the 'legs.' The third and unequal side of an isosceles triangle is known as the 'base. The angles situated opposite to the equal sides of an isosceles triangle are always equal.

Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus, 65 is the base angle and 50 is the vertex angle.

Answer:

Vertex is the answer they are correct

Answer:

4.14

Step-by-step explanation:

Multiply 49x9 which is 441 and add a decimal point 2 spaces behind 4 so it is 4.14

Answer:

B.) Perpendicular

Step-by-step explanation:

Slope of A

-2-3/-12+8= 5/4

Slope of B

-7+3/-2+7= -4/5

The slope of the two lines show that the lines are

B.) Perpendicular

Given info:

A = { a,b,c,d }

B = {b,d,c,f}

Find the following :

1) AUB

2)AnB

3) n(A)

4) n(B)

5) n(AUB)

6) n(AnB)

Solution :-

Given sets are A = { a,b,c,d }

⇛ Number of elements in A = 4

⇛ n(A) = 4

B = {b,d,c,f}

⇛ Number be f elements in B = 4

⇛ n(B) = 4

AUB

⇛ {a,b,c,d} U { b,d,c,f}

⇛ {a,b,c,d,f}

AUB = {a,b,c,d,f}

⇛ Number of elements in AUB = 5

⇛ n(AUB) = 5

and

AnB = {a,b,c,d} n { b,d,c,f}

⇛ AnB = { b,c,d}

⇛ Number of elements in AnB = 2

⇛ n(AnB) = 2

Answer:-

1) AUB = {a,b,c,d,f}

2)AnB = { b,c,d}

3) n(A) = 4

4) n(B) = 4

5) n(AUB) = 5

6) n(AnB) = 3

Answer:

You cant.

Step-by-step explanation:You woud need to know the variables.They have to be the same but can be in a diffrent order

Step-by-step explanation:

[tex]4 5\div 15 = 3[/tex]

[tex] \frac{45}{15} = 3[/tex]

[tex] \frac{15 + 15 + 15}{15} = 3[/tex]

[tex] \frac{3(15)}{15} = 3[/tex]

[tex]3 \times \frac{15}{15} = 3[/tex]

[tex]3 \times 1 = 3[/tex]

[tex]3 = 3[/tex]

Answer:

[tex]A. w=-7[/tex]

Step-by-step explanation:

First let's put our equation

[tex]6w+8w-2w-3=9w-24[/tex]

[tex]12w-3=9w-24[/tex]

Subtract [tex]9w[/tex] from both sides

[tex]3w-3=-24[/tex]

add [tex]3[/tex] to both sides

[tex]3w=-21[/tex]

Divide both sides by 3

[tex]w=-7[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Equivalent value is ~

[tex] \boxed{12}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

Answer:

[tex]\frac{3}{200}[/tex]

Step-by-step explanation:

Hope this helps!

Answer:

P (-4.5,1.5) Z (-4.5,-4.5) I (-1.5,-4.5)

Step-by-step explanation:

P (-3,1) x 1.5

Z (-3,-3) x 1.5

I (-1,-3) x 1.5

Dilation always multiply by scale factor

Answer:

yes.

Step-by-step explanation:

Answer:

40,60,100

Step-by-step explanation:

the points should be matched with the y axis

Answer:

not the answer: I hope you do amazing!!

Answer:

120 Yards

Step-by-step explanation:

42 feet is equal to 14 yards.

So if 14 yards is walked in 7 seconds then 2 yards are walked in 1 second.

So if 2 yards are walked in 1 second and there are 60 seconds in a minute, then 120 yards are walked in one minute.

So the answer is 120 yards.

Answer:

i think its d

Step-by-step explanation:

Answer:

no table=no answer

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1, 7, 13, 19, 25, ...

a = 1

common difference = d = 7 - 1 = 6

13 - 7 = 6

nth term is

a(n) = a + (n - 1)d

= 1 + (n - 1)6

= 1 + 6n - 6

= 6n - 5

6n - 5 = 331

6n = 331 + 5

6n = 336

n = 56

as n is an integer

331 is 56th term

Answer:

the answer is x8

Step-by-step explanation:

the answer is x8

Answer:

y = -2x

Step-by-step explanation:

The appropriate "direct variation" rule (formula) is y = kx.

Since y = 4 when x = -2, 4 = k(-2), or k = -2

Then the specific formula relating x and y is y = -2x