Question 4 (5 points)
Determine the value of x.

4v2
8V2
4
8

Answer:

sum of the interior angles x and y gives the exterior angle z

(4n-18)°+(n+8)°=(133-6n)°

4n°-18°+n°+8°=133°-6n°

4n°+n°-18°+8°=133°-6n°

5n°-10°=133°-6n°

5n°+6n°=133°+10°

11n°=143°

11°n/11°=143°/11°

n=13

exterior angle=133-6×13

=133-78

=55

Answer:

Step-by-step explanation:

Find the slope of the line AB.

The slope:

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

[tex]y-y_{1}=m(x-x_{1})[/tex]

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

B=1

C=28

Answer:

10x² + 11x - 6

Step-by-step explanation:

The area (A) is the product of the sides, that is

A = (2x + 3)(5x - 2) ← expand using FOIL

   = 10x² - 4x + 15x - 6 ← collect like terms

   = 10x² + 11x - 6

Step-by-step explanation:

Product property

Quotient property

Power property

Negetive exponent property

Answer:

3

Step-by-step explanation:

The value of x is 3 if the volume of the triangular prism is 54 cubic units.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  volume of the triangular prism is 54 cubic units.

We have to find the value of x

The volume of the prism with triangular base is 54 unit³.

The base is a triangle with,

base = 4 units

height = x units

height of the prism = 3x

V= 6x²

54= 6x²

Divide both sides by 6

x² = 9

x=3

Hence, the value of x is 3 if the volume of the triangular prism is 54 cubic units.

To learn more on Three dimensional figure click:

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Answer:

29.4 m/s

Step-by-step explanation:

9514 1404 393

Answer:

  27.932 in

Step-by-step explanation:

The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:

  y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees

The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.

  y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.

The valve cap is 27.932 in. above the ground.

Answer:

0.23923444976

Answer:

4x+11

Step-by-step explanation:

you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.

so you just have to add 7+4

4x+11

I hope this helps

Step-by-step explanation:

hope this may help you tq

Answer:

-2

Step-by-step explanation:

-10 x 12 x -4 + 40 x -2 x 6 - 2

-120 x -4 - 80 x 6 - 2

480 - 480 - 2

0 - 2

-2

Answer:

B. SAS

Step-by-step explanation:

Ratio of sides equal:

• 4/2= 6/3

So the 2 sides are congruent and also share same angle between.

• B. SAS is the similarity reason

The equation your teacher has given you is an identity. We can prove this by transforming one side into the other. I'll transform the right hand side (RHS) into the left hand side (LHS).

This means I'll keep the LHS the same for each line. I'll only change the RHS. The goal is to get the same thing on both sides (I could go the other way around but I find this pathway is easier).

[tex]\tan^4(\theta)+\sec^2(\theta) = \sec^4(\theta)-\tan^2(\theta)\\\\\tan^4(\theta)+\sec^2(\theta) = \left(\sec^2(\theta)\right)^2-\tan^2(\theta)\\\\\tan^4(\theta)+\sec^2(\theta) = \left(\tan^2(\theta)+1\right)^2-\tan^2(\theta) \ \text{ ... see note 1}\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+2\tan^2(\theta)+1-\tan^2(\theta)\\\\[/tex]

[tex]\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\tan^2(\theta)+1\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\sec^2(\theta)-1+1 \ \text{ ... see note 2}\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\sec^2(\theta) \ \ \Large \checkmark\\\\[/tex]

So because we've arrived at the same thing on both sides, the original equation is an identity. It always true no matter what theta value you plug in, as long as theta is in the domain. So something like theta = pi/2 won't work because tan(pi/2) = undefined and sec(pi/2) = undefined. It's based on how cos(pi/2) = 0 and this value is in the denominator. Dividing by zero is undefined.

Consequently, this means all solutions to cos(theta) = 0 will be excluded from the domain. Everything else works.

Answer:

x = -1

Step-by-step explanation:

14x + 2 = 9x -3

Transpose

14x -9x = -3 -2

5x = -5

x= -5/5

x = -1

Answer:

x = -1

Step-by-step explanation:

[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]

Answer:

i) where the digits can repeat

1. 30

2. 50

3. 33

4. 55

5. 35

6. 53

ii) where the digits cannot be repeated

1. 30

2. 50

3. 35

4. 53

Answer:

Graph is attached below with coordinated points of (3,3),  (-3,2),  (-2,-3),  (-3,-2),  (0, -4),  (-2,0),  (4,0), and (0,0)

Step-by-step explanation:

Answer:

enlarge it

Step-by-step explanation:

I ft = 12 inches

Thus 8 in → 12 in makes the transformation larger.

Thus going from 8 in to 12 in is an enlargement

Answer:

108 squared centimeters

Step-by-step explanation:

Let's exchange π for 3:

area = πr^2

        = 3r^2

Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:

area = 3r^2

        = 3 · 6^2

Simplify 6^2:

area = 3 · 6^2

        = 3 · 36

Multiply 3 by 36:

area = 3 · 36

area = 108

108 squared centimeters

9514 1404 393

Answer:

  +24

Step-by-step explanation:

The number of steps run can be represented by the integer +24.

Answer:

8= coefficients.

4ab=constant term

5b=number of terms

Step-by-step explanation:

when terms are being added and substrated in algebra expression, we can sometimes simplify the expression to produce an expression with fewer terms

LET ME KNOW IF IT HELPS

Answer:

B.

Step-by-step explanation:

Table B has x values that go to multiple y values. A function has inputs that only go to one output.

Answer:

The third one

Step-by-step explanation:

Just took the quiz

Answer:

B: 1/6

Step-by-step explanation:

The probability a boy will get picked who owns what is 5 on the picture, out of 30 choices.  So divide 30 by 5 and get your answer :)

Please mark brainiest

Answer:

Step-by-step explanation:

a). In ΔABC and ΔEDC,

Since, AB and DE are parallel and AE is a transversal,

Therefore, ∠CAB ≅ ∠CED [Alternate interior angles]

m∠D = m∠B = 90°

ΔABC ~ ΔEDC [By AA property of similarity of two triangles]

b). Therefore, by the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

[tex]\frac{DC}{BC}= \frac{DE}{AB}[/tex]

[tex]\frac{60}{200}=\frac{40}{AB}[/tex]

AB = [tex]\frac{40\times 200}{60}[/tex]

     = 133.33

     ≈ 133.3 ft

Answer:

χ² = 6.75

χ² Critical = 11.07

Step-by-step explanation:

Given the data :

Expected winnings ;

1/n * total number of wins

Total number of wins = 240

n = number of starting positions = 6

Expected winnings = 1/6 * 240 = 40

Using χ² test :

χ² = Σ(O - E)² / E

O = Observed ; E = Expected

χ² = (32 - 40)^2 / 40 + (33 - 40)^2 / 40 + (45 - 40)^2 / 40 + (44 - 40)^2 / 40 + (50 - 40)^2 / 40 + (36 - 40)^2 / 40

= 6.75

χ² Critical at α = 0.05 ; df = n - 1 ; df = 5

χ² Critical = 11.07

Since χ² < χ² Critical ; WE fail to reject H0.

Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)

Step-by-step explanation:

Answer:

He needs 7 A's.

Step-by-step explanation:

The pictures.

Hope this helps!!! :)

Formula for the volume of a sphere: V = 4/3 x pi x r^3

V = 4/3 x pi x 6^3

V = 4/3 x pi x 216

V = 288 pi in^3

Hope this helps!

Answer:

288 pi in ^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where r is the radius

V = 4/3 pi *( 6)^3

V = 4/3  pi (216)

V = 288 pi in ^3

Answer:

Rs.6420

Step-by-step explanation:

we know that A=P(1+r/100)

7488=P(1+8/100)2

7488*10000/108*108=P

P=Rs.6420

Answer:

Principal=Rs.45000 ; And Amount=Rs.52488.

Step-by-step explanation:

For finding Principal i used the formula:[ x(1+8/100)^2-x] =C.I ( where x = P)

And for Amount : Sum of principal and interest.

Hope so, you liked my solution.

Answer:

Step-by-step explanation:

i. 5/12

ii. 1/8

iii. 11/24

iiii. 7/8