EXAMPLE 3
If m26 = 142°, find each measure. Give your reasoning.
a. mZ1 =
b. m 2 =
6
N
c. m23 =
32
d. mZ4 =
4
8
e. m25 =
f. m27 =
g. m 8 =

Answer:

<B = 3(14) + 6 = 48 degrees

Step-by-step explanation:

4x+6+3x+6+5x = 180 degrees

12x + 12 = 180

12x = 180 - 12

x = 168/12

x = 14

Answer:

Second option?

Step-by-step explanation:

I would go with the second one. It cannot be the first one because a function must have one y value per each x, but in this case it does not. Same reason for option 3 and 4. Am I right? Please let me know :)

The similar triangle relationship by the rays of the Sun and the shadow of

the Moon indicates that their distances to Earth are proportional.

Reasons:

The diameter of the Sun = 1,391,000 km

The diameter of the Moon = 3,475 km

The distance between the Earth and the Moon = 149,60,000 km

Required:

The distance that the Moon can be from Earth, such that the Moon appear to be the same size as the Sun.

Solution:

The vertex angle formed by the Moon and the Sun at the Earth are the

same, assuming the Moon and the Sun are in the same line, we have;

Considering the diameters of the Sun and the Moon as parallel lines, we have;

The base angles formed at the Sun and the Moon are equal

Therefore, the shadows of the Sun and the Moon form similar triangles with the Earth.

Using the relationship similar triangles, we have;

[tex]\displaystyle \frac{Disatance \ of \ the \ Sun \ from \ the \ Earth}{Diameter \ of \ the \ Sun} =\mathbf{ \frac{Distance \ of \ the \ Moon \ from \ the \ Earth}{Diameter \ of \ the \ Moon}}[/tex]

Which gives;

[tex]\displaystyle \frac{149,600,000}{1,391,000} = \mathbf{\frac{Distance \ from \ the \ Moon \ to \ the \ Earth, \ d }{3,475}}[/tex]

[tex]\displaystyle The \ distance \ from \ Moon \ to \ Earth, \ d = \displaystyle \frac{149,600,000}{1,391,000} \times 3,475 \approx 373,731.13[/tex]

The distance the Moon have to be from Earth for the Moon to appear the same as the Sun, d ≈ 373,731.13 km.

Learn more about similar triangles here:

https://brainly.com/question/16983333

Answer:

Integer

-NULL

Brainliest will be appreciated thank you!

Answer:

-8 ÷ 2 = -4

Step-by-step explanation:

just divide y by x

Answer:

y = 1x + 9

Step-by-step explanation:

This is probably a form of y = mx + b.

m = the slope of a line, which is up one over one (rise/run)

b = y-intercept, or what point is the line crossing at on the y axis.

This formula is very important and it's very helpful when plotting lines. So remember: y = mx + b  !!

Hopefully this helps! Leave a comment wether it does or not. :)

y=mx+b

y=x+9

choose any x coordinates

x = 0,1,2

y is equal to the x coordinate plus 9

in this case y will be

y = 9,10,11

respectively

graph the points:

(0,9)

(1,10)

(2,11)

Answer:

g+r=15  and 2.00g+4.50r=37.50 are the two equations you need to use

Step-by-step explanation: IM NOT COMPLETLEY SURE THO

Answer: C

The total number of pounds of trail mix is 15. The pounds of granola added to the pounds raisins has to equal 15. So, one of the equations is g + r=15.

In total the cost of the granola and the cost of the raisins must be equal to $37.50. Since the granola costs $2 per pound and the raisins cost $4.50 per pound, 2g + 4.5r= 37.5.

Hope this helps! :)

Answer:

y = -1/6x + 1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 0 / 32 - 2

-5 / 30

= -1/6

y = -1/6x + b

0 = -1/6(2) + b

0 = -1/3 + b

1/3 = b

Answer: c

Step-by-step explanation: doesnt show a number so example lets say its 0

Answer:

3.8

Step-by-step explanation:

5% times 20 is 100% and that is the number we are trying to find so of we multiply .19 by 20 we should get 3.8 wich is promotional to the 100%

Answer:

The answer is 4

Step-by-step explanation:

2/4 = 1/2

Answer:

4

Because 2/4 is basically 1/2

Answer:

314 cm^2

Step-by-step explanation:

A = pi(r^2)

A = (3.14)(10)^2

A = (3.14)(100)

A = 314 cm^2

Answer:

314.16

Step-by-step explanation:

a = πr²

a = π 10²

a = 314.16

I hope that this helps!!!!!

Answer: I think 10ft apart

Step-by-step explanation:

Answer:

The line representing the number of miles Nick drives while performing x oil changes is steeper than the line representing the number of miles Natalie drives while performing x oil changes because he drives farther between oil changes than Natalie does.

Answer:

Step-by-step explanation:

b

Answer:

x = 8.8 or x = 44/5

Step-by-step explanation:

1) Multiply both sides of the equation by 4, and cancel out the 4 on the bottom of 3/4, this turns the equation into: 8x - 4 = 3x + 40

2) Move the x to the lefthand side and change the side, do the same for the constant (4), this turns the equation into: 8x - 3x = 40 + 4

3) Combine like terms, subtract 8x from 3x and add 40 to 4: 5x = 44

4) Divide both sides by 5, and your answer is 44/5 (or 8.8 when converted to a decimal)

Answer:

X = 1

Step-by-step explanation:

Step-by-step explanation:

I don't get the question

Answer: Single, under the age of 65 and not older or blind, you must file your taxes if: Unearned income was more than $1,050. Earned income was more than $12,000. Gross income was more than the larger of $1,050 or on earned income up to $11,650 plus $350.

i dont get the second part .. sorry

Answer: D

Step-by-step explanation: Cause there's not year for how long alma saved so its D not here

Answer:

C. 7980.00

Step-by-step explanation:

by using the formula of interest =ie. 4200*4.75*4 and the answer will come 7980.00

Answer:

(1)+(2) Substitute Y from (2) in (1):

X2+(1−X)2=1X2+(1−X)2=1

...

2X(X−1)=02X(X−1)=0

Hense X= 0 or X = 1.

by-step explanation:

Answer:

inconsistent; none

Step-by-step explanation:

Because 29 ≠ 94, the system is inconsistent. There are no solutions.

1+1= 2 so if is add 1 doller and i p,opemimcn3 h3 hnhnhn3  

Answer:

the anwser is actually b

Answer:

0.0302782

Step-by-step explanation:

Answer:

0.05124653739

Step-by-step explanation:

32/5

本题已由中国数学会官方解答（现有会员：3人）  

Answer:

the 78 degree angle and the 57 degree angle are the same on each one so you can guess that point A and point F are the same

Step-by-step explanation:

Answer:

44.4 or 14.9 depending on which volume is being stated

Step-by-step explanation:

Not sure if it is the smaller cube or the bigger cube that is 3250 cm^3 so ill do both.

LARGER CUBE IS 3250 cm^3

first find the side length by finding the cube root of 3250, which is about 14.8, then divide that by 3 to find the side length of the smaller cube, which is about 4.9.

SMALLER CUBE IS 3250 cm^3

first find the side length by finding the cube root of 3250, which is about 14.8, then multiply that by 3 to find the side length of the larger cube, which is about 44.4.

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

The cut-out from each corner that maximizes the volume is 3 inches.

The dimensions are given as:

[tex]\mathbf{Length = 15}[/tex]

[tex]\mathbf{Width = 24}[/tex]

Assume the cut-out is x.

So, the dimension of the board is:

[tex]\mathbf{Length = 15 - 2x}[/tex]

[tex]\mathbf{Width = 24 - 2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

The volume (V) is calculated as:

[tex]\mathbf{V = Length \times Width \times Height}[/tex]

So, we have:

[tex]\mathbf{V = (15 - 2x) \times (24 - 2x) \times x}[/tex]

Expand

[tex]\mathbf{V = 360x - 78x^2 + 4x^3}[/tex]

Differentiate

[tex]\mathbf{V' = 360 - 156x + 12x^2}[/tex]

Set to 0

[tex]\mathbf{ 360 - 156x + 12x^2 = 0}[/tex]

Divide through by 12

[tex]\mathbf{ 30 - 13x + x^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{ x^2 - 13x + 30 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{x = \{3, 10\}}[/tex]

The value of x = 10 is greater than the dimensions of the box.

So, we have:

[tex]\mathbf{x = 3}[/tex]

Hence, the cut-out from each corner that maximizes the volume is 3 inches.

Read more about maximum volumes at:

https://brainly.com/question/7063268