find the length of ZV, given the diagram

Next to 71 degrees angle is 45 degrees

The one close to 64 degrees is 64 too ( vertical angles)

And the last one next to 56 degrees is 60

The vertical angles are 56° aech.

Angle next to 56° is: 60° (sum of triangle)

Angle next to 71° is: 45° (sum of triangle)

Vertical angles have equal measure.

In the diagram given, 64 and the opposite angle are congruent because they are vertical angles.

The angle next to 56° is: 180 - 64 - 56 = 60° (sum of triangle)

The angle next to 71° is: 180 - 64 - 71 = 45°.

Learn more about vertical angles on:

https://brainly.com/question/14362353

#SPJ2

Answer:

B

Step-by-step explanation:

it between B and c not really sure though

Answer:

No, it's not linear function.

Step-by-step explanation:

The x value repeatedly adds 3.

So far its a linear function.

If you look at the y value, it does NOT have a pattern, therefore that means it is NOT a linear function.

Answer:

12 yards

Step-by-step explanation:

From. The picture attached, we could obtain the angle of elevation, θ from the curb of the street to the top of the building.

Using trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = 30 yards

Adjacent = 40 yards

Tanθ = 30/40

θ = tan^-1(0.75)

θ = 36.869897°

Distance between curb of street and flagpole :

(40 - 24) yards = 16 yards

Let height of flagpole = h

Tanθ = opposite / Adjacent

Opposite = h yards

Adjacent = 16 yards

Tan36.869897 = h/16

0.75 = h / 16

h = 0.75 * 16

h = 12 yards

Answer:

Step-by-step explanation:

8 - 4+ (3.6)2

= 8 - 4 + 7.2

= 11.2

hope it helps :)

Answer:

12 x 18 CM.

Step-by-step explanation:

Because 3 cm is 1 ft  so if it is 4 you multiply that by 3 which equals 12 , and for 6 feet you multiply that by 3 cm  and get 18. SO it is 12 x 18 cm.

Answer:

4.089, 4.87 4.881 , 4.89

Step-by-step explanation: this is true because for 4.89 you would just add a 0 to make it 4.890

Answer:

First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.

Step-by-step explanation:

volume is length × width × height.

Answer:

240 cm cubed

Step-by-step explanation:

If you separate the shape into 2 figures, the first figures area is 180

and the second is 60.

180 + 60 = 240

Hope this helps!

Answer:i

Step-by-step explanation:

Answer:

x = 24.25 inches

Step-by-step explanation:

sin 60 = 21/x

0.866 = 21/x

x = 24.25

Answer:

24 (if its supposed to be rounded to whole)

24.2 (if rounded to tenth)

Step-by-step explanation:

Sin a= opp/hyp

opp=21

hyp=x

a=60

Sin60=21/x

Get x to the other side by multiplying on both sides

x*sin60=21

Now divide by sin60 on both sides

x=21/sin60

Find sin60

sin60=0.866025...

divide 21 by 0.866025

21/0.866025=24.248722....

So rounded to the nearest 10th is 24.2

Rounded to nearest whole is 24

Answer:

a. 4, b. $0.75, c. $5.25

Step-by-step explanation:

b. Solve the cost per bottle of water first:

[tex]\frac{9}{12} = 0.75[/tex]

a. [tex]3/0.75 = 4[/tex]

c. [tex]7\cdot0.75 = 5.25[/tex]

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear Equations.

To solve this, lets consider,

Lets consider basic hits of Ricky to be 'x' and that of pedro be x + 283 ,

hence we get as,

x + (x+283) = 2673

===> 2x = 2673 - 283

===> 2x = 2390

==> x = 1195

hence, Ricky has 1195 basic points and pedro has 1478 basic hits.

Answer:

pedro = 1478 ricky 1195

Step-by-step explanation:

2673 - 283 = 2390

2390 divided by 2 equals 1195

1195 + 283 = 1478

1478 + 1195 = 2673

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

Answer:

7x-6= 6x+12

x=18

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 7 > 20

2x > 13

x > 6.5

X=6.5

Answer:

2X+7>20

2X>13

X=13÷2

Answer:

Step-by-step explanation:

The standard form of equation of a circle is expressed as;

x^2+y^2+2gx+2fy+c = 0

The centre is at (-g, -f)

Given the equation'

9x²+9y²+18x-12+10=0

Divide through by 9

9x²/9+9y²/9+18x/9-12y/9+10/9=0

x^2+y^2+2x-4/3 y + 10/9 = 0

Compare

2gx = 2x

g = 1

2fy = -4/3 y

2f = -4/3

f = -4/6

f = -2/3

The centre is (-(-2/3), -1) = (2/3, -1)

for the radius

r = √f²+g²-c

r =√(-2/3)²+1²-10

r =√4/9 - 9

r = √(4-81)/9

r = √-77/9

Answer:

The savings interest rate of Nakato Nobuki is 3 %

Step-by-step explanation:

Given;

Final amount of Nakato Nobuki, A = $ 24,000.00

time period of his investment, t = 5 years

principla amount, P = $ 1,500.00

The savings interest rate of Nakato Nobuki can be calculated on a simple interest basis.

A  = P(1 + rt)

r is the savings interest rate

Substitute the given values and solve for r

24,000 = 1,500(1 + 5r)

24,000 = 1,500 +  7,500r

7,500r = 24,000 - 1,500

7,500r = 22,500

r = 22,500/7,500

r = 3 %

Therefore, the savings interest rate of Nakato Nobuki is 3 %

[tex]\frac{\pi*d^2}{4}[/tex]

d=26

[tex]\frac{\pi *676}{4} =169*\pi[/tex]≈530.929158457

Answer:

She made 80 total cookies because 25% of 64 is 16. 64 plus 16 is 80. You are adding the original amount(60) to 25%(16).

Answer:

Step-by-step explanation:

The equation of a line in slope-intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Get the slope

m = -5-1/2-(-2)

m = -6/4

m = -3/2

Get the intercept

Substitute m = -3/2 and (-2, 1) into y = mx+c

1 = -3/2(-2) + c

1 = 3 + c

c = 1-3

c =-2

Get the required equation

y = mx+c

y = -3/2 x + (-2)

y  = -3/2 x -2

Hence the required equation is  y  = -3/2 x -2

Answer:

53°

Step-by-step explanation:

ΔABC is a right triangle (one of the angles is 90°).

You can use SOH-CAH-TOA to find an angle:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

In this case, we want to find ∠A.  We know the lengths of the opposite side and the hypotenuse.  Therefore, we should use sine.

sin A = 12 / 15

m∠A = sin⁻¹(12/15)

m∠A ≈ 53°

Alternatively, you could use Pythagorean theorem to find the third side, then use either cosine or tangent to find m∠A.

Answer:

53

Step-by-step explanation:

Hope this helps

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Answer:

55˚

Step-by-step explanation:

1. ∡135˚ = 180-135=45˚

2. p=180-80-45

3. p=55˚

Answer:

c. is the correct answer

Answer:

Step-by-step explanation:

These are equivalent equations in different forms. 4x+2y = 8 is in standard form but is not simplified to lowest terms.

y = -2x + 4 is in slope-intercept form.

Answer:  B

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

In a right triangle the hypotenuse which is 16+9 =25 has to be the largest side.  Since x is not the hyportenuse it has to be lower which only leaves one answer : 15

Answer:

Step-by-step explanation:

these are tough to solve  , don't feel bad.   soo part of the trick is that the two side set  up similar triangles, then  

16 / y  = y /9     ( the two triangles

16* 9 = [tex]y^{2}[/tex]

144 = [tex]y^{2}[/tex]

12 = y

y is the length between the two triangles , so since we now know that part, we can solve the triangles.

lets use tan to solve one of the angles of the smaller triangle

TOA  to remember how tan fits on a triangle

Tan = Opp / Adj

Tan(Ф) = 9/12

Ф = arcTan(9/12)

Ф = 36.869897

knowing that we can solve for x

use CAH   cos = Adj / Hyp

Cos(36.869897) = 12 /  Hyp

Hyp = 12/ Cos(36.869897)

Hyp = 15   :)  that seems reallly good ..  :P

x = 15   there you go