Solve by using the quadratic formula:
x2 - 6x + 7 = 0

Step-by-step explanation:

60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)

Therefore 2x = 60° and x = 30°.

Answer:

Step-by-step explanation:

2x + 60 = (180 - 60)

x = (180-120)/2

x = 30

Answer:

114

Step-by-step explanation:

25 + 25 + 64 = 114

Answer:

you pay $26.25

you save $48.75

Step-by-step explanation:

Trust

The value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have two triangles shown in the picture.

By using the property of a similar triangle:

y/7 = 11/x = 6/5

y/7 = 6/5

y = 42/5

11/x = 6/5

x = 55/6

Thus, the value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

Answer:

1. Y= 5-3x

2. Y= -4-x

3. Y= -9-x

4. Y= 11-3x

5. Y=2x=5

Answer:

DG = 26

GE = 26

DF = 15

CH = 14

CE = 28

Step-by-step explanation:

Find the image attached for the complete question

IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.

The following expressions are therefore true

DG + GE = DE and DG = GE

Substituting

DG + DG = DE

2DG = DE

Given DE - 52

2DG = 52

DG = 52/2

DG = 26

Since DG = GE, hence GE = 26

Also DF + FC = DC and DF = FC

Since FC = 15, hence DF = 15

Also CH + HE = CE and CH = HE

Since HE = 14, hence CH = 14

CE = 14+14

CE = 28

DG = 26, GE = 26, DF = 15, CH = 14, CE = 28

IF If J is the  centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts

Therefore,

DG + GE = DE ....(1)

DG = GE ...(2)

Substituting (2) in (1) ,we get

DG + DG = DE

2DG = DE

Also, DE = 52  (Given)

So, 2DG = 52

DG = 26

As, DG = GE,

Therefore,  GE = 26

Also,  DF + FC = DC and DF = FC

As, FC = 15,

So, DF = 15

Also CH + HE = CE and CH = HE

Since HE = 14,

So, CH = 14

CE = 14+14=28

So, CE = 28

Therefore, DG = 26 , GE = 26, DF = 15, CH = 14, CE = 28

Learn more:https://brainly.com/question/20756448

Answer: A is

Step-by-step explanation: its the only one that follows the rules

Answer:

18000ml or you an also say 18000[tex]cm^{2}[/tex] and 18 [tex]dm^{2}[/tex]

Step-by-step explanation:

In order to solve this question we will just have to multiply the current volume of the water by 1000. So we get....

18 x 1000 = 18000ml

If you will need to give the answer in [tex]cm^{2}[/tex] or in [tex]dm^{2}[/tex], then if we know that [tex]1ml = 1cm^{2}[/tex]. We can say that the volume of 18 ml of water is equal to.....

18000ml = 18000[tex]cm^{2}[/tex]

18000ml = 18 [tex]dm^{2}[/tex]

Answer:

Step-by-step explanation:

30 is half or 60

45 is half of 90

1:2 ratio

Answer:

I tldon?t really understand but I think The answer is

Step-by-step explanation:

8 goes with 56, 4 goes with 8, 7 goes with 7, 5 goes with 60, 9 goes with 64 I think. That Is all I understand Of the Question Sorry .

Answer:

4 visits.

Step-by-step explanation:

First make an equation to represent the cost of the museum stuff using the formula y=mx+b

y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)

Now we need to figure out how many visits a bill of $31 would represent.

We plug in 31 for y because y represents the total cost.

31=5x+11

Now solve for x.

Subtract 11 from both sides: 20=5x

Divide each side by 5: 4=x

Since x=4, it means that a bill of $31 would represent four visits.

Answer:

The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.

Step-by-step explanation:

Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.

$31 - $11 = $20

Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.

$20 / $5 = 4

So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.

Answer:

A

Step-by-step explanation:

CAUSE MATH

I GOT THE SAME QUESTION AND GOT IT CORRECT. YEET :))))))))

Answers:

=================================================

Work Shown:

We'll use the template y = ax^2 + bx + c

The system of equations is

[tex]\begin{cases}4a+2b+c = 3\\36a+6b+c = 9\\64a+8b+c = 0\end{cases}[/tex]

We have 3 equations and 3 unknowns.

-----------------------------------

Let's solve the first equation for c

4a+2b+c = 3

2b+c = 3-4a

c = 3-4a-2b

c = -4a-2b+3

Plug that into the second equation and simplify

36a+6b+c = 9

36a+6b+(-4a-2b+3) = 9

32a+4b+3 = 9

32a+4b = 9-3

32a+4b = 6

2(16a+2b) = 6

16a+2b = 6/2

16a+2b = 3 .... we'll use this later

Plug that value of c into the third equation as well

64a+8b+c = 0

64a+8b+(-4a-2b+3) = 0

60a+6b+3 = 0

3(20a+2b+1) = 0

20a+2b+1 = 0

20a+2b = -1

--------------------------

We have a new system of equations. This time it deals with 2 variables instead of 3. We can think of this as a reduced equivalent system.

[tex]\begin{cases}16a+2b = 3\\20a+2b = -1\end{cases}[/tex]

Note how subtracting the terms straight down has the b terms canceling (since 2b-2b = 0b = 0)

The 'a' terms subtract to 16a-20a = -4a

The terms on the right hand side subtract to 3-(-1) = 3+1 = 4

We end up with the equation -4a = 4 which solves to a = -1

Use this value of 'a' to find b

16a+2b = 3

16(-1)+2b = 3

-16+2b = 3

2b = 3+16

2b = 19

b = 19/2

b = 9.5

Now use the values of a and b to find c

4a+2b+c = 3

4(-1)+2(9.5)+c = 3

-4+19+c = 3

15+c = 3

c = 3-15

c = -12

--------------------------

Summary:

The values of a,b,c we found were

So the function is

f(x) = -x^2 + (19/2)x - 12

which is equivalent to

f(x) = -x^2 + 9.5x - 12

To check this answer, plug in x = 2, x = 6, x = 8 one at a time. You should get y = 3, y = 9 and y = 0 in that order.

Answer:

f(x)=-x^2+9.5-12

Step-by-step explanation:

- for the first box

9.5 for the second box

-12 for the third box

Answer:

[tex]-8f(0) +4g(-8)=-32[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]-8f(0) +4g(-8)[/tex]

From the attachment;

[tex]f(0) = 1[/tex]

and

[tex]g(-8) = -6[/tex]

Substitute these values in [tex]-8f(0) +4g(-8)[/tex]

[tex]-8 * 1 + 4 * -6[/tex]

[tex]-8 -24[/tex]

[tex]-32[/tex]

Hence:

[tex]-8f(0) +4g(-8)=-32[/tex]

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] a real function, we define the following function operations:

Horizontal translation

[tex]g(x) = f(x + a)[/tex] (1)

If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.

Vertical translation

[tex]g(x) = f(x) + a[/tex] (2)

If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.

Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:

[tex]g(x) = \log_{2} (x+5)-4[/tex]

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

Answer:

They are not congruent.

The lines or the marks show that each side is congruent. If you compare the sides to where the angle is, you will see that it is not congruent.

Answer:

Step-by-step explanation:

( -1, 14 ) and (9, 14) notice the y coordinate is the same and the distance between points is 10 (from -1 to 0 is 1 and from 0 to 9 is 9 , 1+9 =10)

The axis of symetry is in the middle between the points so is at

x= (9- 10/2) = 9-5 =4

x=4

point (2, 2), vertex (5, -2.5), equation y= a(x-h)²+k

where h=5, k= -2.5, x=2, y=2 so substitute

2= a( 2-5)² -2.5

2= 9a -2.5

2+2.5 = 9a

4.5/9 =a

0.5 = a

Answer:

$14.80

Step-by-step explanation:

18.50 * 0.20 = 3.70

Then

18.50 - 3.70

Yo I am not 100% sure. I have 90% sure that it is right answer though.

If that isn't one of your answer choices then it means it is 3.70.

Answer:

69.4 inches

Step-by-step explanation:

62 + 72 + 73 + 69 + 71 = 347

347 / 5 = 69.4

Answer:

x = [tex]\frac{15}{2}[/tex] , x = 1

Step-by-step explanation:

(a)

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

(b)

3x + 2 = [tex]\frac{2x+13}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Answer:

x = [tex]\sqrt{65}[/tex]

Step-by-step explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

[tex]4^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]

16 + 49 = [tex]x^{2}[/tex]

65 = [tex]x^{2}[/tex]

x = sq rt 65

Step-by-step explanation:

The answer is is the picture..

Answer:

The coordinates of the image ABC will be:

Step-by-step explanation:

Given the vertices of an original triangle

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/2 centered at the origin

P(x, y) → P'(1/2x, 1/2y)

so

A(6, 6) → A'(1/2(6), 1/2(6))  → A'(3, 3)

B(12, 12) → B'(1/2(12), 1/2(12))  → B'(6, 6)

C(30, 24) → C'(1/2(30), 1/2(24))  → C'(15, 12)

Therefore, the coordinates of the image ABC will be:

Answer:

35

Step-by-step explanation:

Answer:

y = 35°

Step-by-step explanation:

if the lines are parallel, the alternate interior angles theorem applies ("if a transversal intersects two parallel lines then alternate interior angles are congruent"). so since we know that the lines are parallel, the alternate interiors are congruent so 70=2y. from there, divide both sides by 2 to isolate y (division property of equality) and y=35.

Answer: Y = -12.25

Step-by-step explanation:

Answer:

-4.75

Step-by-step explanation:

5(-3) - 4y = 34

-15 - 4y = 34

-4y = 19

y = -4.75

Answer:

how many of these you got lol?

2 is same as 68 because isosceles triangle

1 is 90-68 = 22

3=2

4= 90

Answer:

[tex]\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\The\ quadrilateral\ is\ a\ rhombus.\\We\ know\ that,\\A\ rhombus\ is\ a\ parallelogram\ with\ all\ sides\ equal.\\As\ it\ is\ a\ parallelogram,\ the\ opposite\ sides\ are\ parallel\ too.\\Hence,\\\angle 3\ and\ \angle68\ form\ alternate\ interior\ angles\ to\ one\ pair\ of\\ opposite\ parallel\ sides\ in\ the\ rhombus,\ and\ are\ equal\ in\ measure.\\Hence,\\\angle 3=68\\[/tex]

[tex]As\ we\ know\ that\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors\ to\ each\ other:\\\angle 4\ forms\ a\ 90.\\Hence,\\\angle 4=90[/tex]

[tex]Now,\ lets\ consider\ the\ isosceles\ triangle\ created\ by\ two\ equal\ sides\ of\\ the\ rhombus\ with\ one\ of\ its\ base\ angles\ \angle 2.\\Now,\\We\ know\ that,\\Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too.\\Hence,\\As\ the\ two\ sides\ are\ equal,\\Base\ angles\ \angle 68\ and\ \angle 2\ are\ equal\ too.\\Hence,\\\angle 2=68[/tex]

[tex]Now,\ lets\ consider\ the\ triangle\ made\ up\ of\ \angle 1\ and\ \angle 2:\\We\ know\ that,\\\angle 2=68 [Proven]\\The\ third\ angle\ is\ 90\ as\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors.\\Hence,\\\angle 1+ \angle 2 +90=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\\angle 1+ \angle 2=90\\\angle 1+68=90\\\angle 1=90-68\\\angle 1=22[/tex]

[tex]By\ putting\ it\ all\ together\ we\ have:\\\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]

13 BY THE POWER OF 7  

Step-by-step explanation:

Answer:

13^7

Step-by-step explanation:

13^7 is equal to multiplying the same number 7 times ,/////,

Answer:

4.75

Step-by-step explanation:

Equation:8x-6=32

8x=38

x=4.75

The value of x from the equation 8x - 6 = 32 is x = 4.75

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

8x - 6 = 32   be equation (1)

On simplifying the equation , we get

Adding 6 on both sides of the equation , we get

8x = 38

Divide by 8 on both sides of the equation , we get

The value of x = 4.75

Therefore , the value of x is 4.75

Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2