Triangle X Y Z is shown. The length of X Y is 9, the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees. Law of cosines: a2 = b2 + c2 – 2bccos(A) Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 – 2(y)(19)cos(41°) y2 = 92 + 192 – 2(y)(19)cos(41°) 92 = y2 + 192 – 2(9)(19)cos(41°) y2 = 92 + 192 – 2(9)(19)cos(41°)

Answer:

The three consecutive square numbers that added together give 149 are 6, 7 and 8.

Step-by-step explanation:

To determine which are the three square consecutive numbers that added together add up to 149, the following calculation must be performed:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

10 x 10 = 100

Thus, we can see that 36 + 49 + 64 gives the result 149. Therefore, the three consecutive square numbers that added together give 149 are 6, 7 and 8.

Answer:

Square

Step-by-step explanation:

Properties of square:

1) All angles are right angle.

2) opposite sides are parallel

3) all sides are equal.

Given:

Two triangles.

To find:

The congruent statement for the given triangles.

Solution:

In triangle ABC and PQR,

[tex]AB=PQ[/tex]             (Given)

[tex]BC=QR[/tex]             (Given)

[tex]AC=PR[/tex]             (Given)

All three corresponding sides are equal. so, corresponding vertices of A, B, C are P, Q, R respectively.

[tex]\Delta ABC\cong \Delta PQR[/tex]              (SSS postulate)

Therefore, the correct option is 3.

Step-by-step explanation:

The shaded area shows the region where it is enclosed in sample space S but does not include the subset B.

Hence it is the complement of B. (A)

If event B is a subset of the sample space S, hence the area represented by the shaded part is complement of B

The set is a collection of members and things.

According to the venn diagram given, the whole set including the set B is the universal set.

The part not shaded is not part of the universal set, hence, we name them the complement of a set.

If event B is a subset of the sample space S, hence the area represented by the shaded part is complement of B

Learn more on set here: https://brainly.com/question/2166579

#SPJ2

Answer:

k= 2

y = 32

Step-by-step explanation:

y is inversely proportional to x

y = 16, x = 8

find y when x = 16

k= 2 & y = 32

Step-by-step explanation:

I think it will be 1.7

i am not sure

Answer:

The maximum height the rocket reaches is 16.

Step-by-step explanation:

You know that a model rocket is launched in the air and the quadratic function is modeled by the equation y = -16*x² + 32*x where x is measuring time and y is the height of the model rocket.

A quadratic function or function of the second degree is a polynomial function defined by:

y= a*x² + b*x + c

A quadratic function has a maximum or a minimum and the vertex formula is used to get the highest or lowest value of the function. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

The value of the vertex on the x-axis can be calculated with the expression [tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis must be obtained by substituting the value of the vertex on the x axis in the function y= a*x² + b*x + c

In this case, a= -16, b=32 and c=0. Since a<0 the vertex will indicate the maximum of the function.

The value of the vertex on the x-axis is [tex]x=\frac{-32}{2*(-16)}=1[/tex]

The value of the vertex on the y axis  is:

y = -16*1² + 32*1

Solving:

y= -16*1 +32

y= -16 +32

y=16

The maximum height the rocket reaches is 16.

sometimes

the description is describing SSA, which is NOT a type of congruence.

since the congruent angle is non-included (which means it is not in between the two congruent sides), we can't say for sure if the triangles are congruent.

this is because the third side of the triangle is unknown, and that side might not be congruent to the same side in the other triangle.

i hope this helps!

Answer:

radio relationships?what do u mean?

Answer:

D

Step-by-step explanation:

Answer:

57.09

Step-by-step explanation:

856.35/15. total amount divided by number of payments

Answer:

y = -3x + 30.

Step-by-step explanation:

The slope of line = (9- (-3)) / (7 - 11)

= 12/-4

= -3.

We use the point-slope form of a straight line:

y - y1 = m(x - x1)        where m = slope = -3 and (x1, y1) = (7, 9)

y - 9 = -3(x - 7)

y - 9 = -3x + 21

y = -3x + 21 + 9

y = -3x + 30.

You haven't supplied a list of possible answers so the correct answer might not  be in the above form but will be equivalent to it.

Answer:

7

Step-by-step explanation:

Let number of nights spent in both the locations be [tex]x[/tex]

Airfare for Arizona for 2 persons for two way journey = [tex]95\times 4=\$380[/tex]

Airfare for New York for 2 persons for two way journey = [tex]150\times 4=\$600[/tex]

Cost of night spent in Arizona = [tex]150x[/tex]

Cost of night spent in New York = [tex]120x[/tex]

Cost of going and coming back from Arizona = [tex]380+150x[/tex]

Cost of going and coming back from New York = [tex]600+120x[/tex]

Now the costs should be equal so

[tex]380+150x=600+120x\\\Rightarrow 150x-120x=600-380\\\Rightarrow x=\dfrac{220}{30}\\\Rightarrow x=7.33\ \text{nights}[/tex]

The number of nights is approximately 7 at which the cost of the trip becomes equal.

Answer:

11

Step-by-step explanation:

hope that helps out :)

Step-by-step explanation:

by collecting like terms =

7y - 12y = -38 - 17

-5y = - 55

by dividing both sides by -5

-5y/-5 = -55/-5

y = 11

Answer:

79

Step-by-step explanation:

Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.

hope this helps (:

Answer:

yes

Step-by-step explanation:

By ASA similarity;

<b=<a

<c=<e

DE=DC

Answer:

12

Step-by-step explanation:

4u - 8u = -63 + 15 ( collecting like terms)

-4u = -48

u = 12

Answer:

u = 12

Step-by-step explanation:

4u - 8u - 15 = -63

Step 1: Combine 4u and -8u

-4u - 15 = -63

Step 2: Add 15 to both -15 and -63

-4u = -48

Step 3: Divide both -4u and -48 by -4

u = 12

I hope this helps! c:

Answer:

$60/t

Step-by-step explanation:

t tickets--> $60

1 ticket---> $60/t

Answer:

The zeroes are -1 and 13

Positive value: [tex]x = 13[/tex]

Step-by-step explanation:

Given

[tex]2x^2 - 24x = 26[/tex]

Solving (a): The zeros

[tex]2x^2 - 24x = 26[/tex]

Subtract 26 from both sides

[tex]2x^2 - 24x - 26= 26-26[/tex]

[tex]2x^2 - 24x - 26= 0[/tex]

Divide through by 2

[tex]\frac{1}{2}(2x^2 - 24x - 26) = \frac{1}{2} * 0[/tex]

[tex]x^2 - 12x - 13 = 0[/tex]

Expand

[tex]x^2 - 13x + x - 13 = 0[/tex]

Factorize:

[tex]x(x-13)+1(x-13)=0[/tex]

[tex](x+1)(x-13)=0[/tex]

Split:

[tex]x +1 =0\ or\ x-13=0[/tex]

[tex]x =-1\ or\ x=13[/tex]

Hence, the zeroes are -1 and 13

Solving (b): The positive value of x

In (a) above:

[tex]x =-1\ or\ x=13[/tex]

The positive value is:

[tex]x = 13[/tex]

Answer:

Step-by-step explanation:

according to the question

the equation is

130+2x=180

2x=180-130

2x=50

x=25

Answer:

-(135/31), 60/31

Step-by-step explanation:

y=60/31

x=-(135/31)

Answer:

Can you put a number line in the picture?

Step-by-step explanation:

That would really help

Answer:

I think its C but without the number line a cant tell.

Step-by-step explanation:

Answer:

6)b

7)a

8)a

9)a

1)c

2)a

3)c

4)b

5)b

Answer:

I already sent u the link from there, even tho, they deleted my question, but yh i set the title as well incase u needed it! Good luck

Step-by-step explanation:

$3.60 is the sales tax

After tax the price is $63.60

Answer

$63.60

Step-by-step explanation:

6% of 60 = 3.60

3.60+ 60= 63.60

Answer:help me

Step-by-step explanation:

Answer:

x3

Step-by-step explanation:

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

distance formula:

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

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

[tex]ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} } [/tex]

[tex]ab = \sqrt{5 {}^{2} + 4 {}^{2} } [/tex]

[tex]ab = \sqrt{41} [/tex]AB = 6.4 units

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

[tex]bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} } [/tex]

[tex]bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]bc = \sqrt{10} [/tex]

BC = 3.2 units

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

[tex]cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} } [/tex]

[tex]cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }[/tex]

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

CD = 8.1 units

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

[tex]ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }[/tex]

[tex]ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]ad = \sqrt{10} [/tex]

AD = 3.2 units

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units