Solve each triangle for the missing values shown. Show all work necessary. Use exact values

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

x≥670/19

x≥35.26315789

Answer:

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

[tex]x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}[/tex]

[tex]x = 187.5\,cm^{2}[/tex]

The area of the larger label is 187.5 square centimeters.

1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.

2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.

3) Earth is 794 times larger in diameter than Halley's Comet.

Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:

1)

2)

3)

Learn more about maths in https://brainly.com/question/26088658

The relationship between Halley's comet and the earth is an illustration of proportions

The given parameters are:

(a) The distance

The distance which Halley's comet get to is calculated using:

[tex]d = \frac 17 \times 149.6\ million\ km[/tex]

So, we have:

[tex]d = 21.37\ million\ km[/tex]

Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.

(b) The next three years it will appear

From the complete question, the comet is visible every 74 years.

It appears in 1910.

So, the next three years are:

[tex]Year\ 1 = 1910 + 74 = 1984[/tex]

[tex]Year\ 2 = 1984 + 74 = 2058[/tex]

[tex]Year\ 3 = 2058 + 74 = 2132[/tex]

Hence, the comet will appear in 1984, 2058 and 2132.

(c) The number of times the earth is larger

The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.

So, the number of times (n) which the earth is greater than the comet is:

[tex]n = \frac{12700}{16}[/tex]

[tex]n = 794[/tex] --- approximated

Hence, the diameter of the earth is 794 times larger than Halley's Comet.

Read more about proportion at:

https://brainly.com/question/1781657

Answer:

518

Step-by-step explanation:

Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

-    -      -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

Answer:

0

Step-by-step explanation:

absolute value disregards -/+

Answer:

1. c/5=3.25

2. 16.25

Answer:

The last box.

Step-by-step explanation:

The "c/5" means c divided by 5.

One pair of supplementary angles in the picture : Angle 1 and Angle 5

Hope this helps!

x = 5/2 or x = 1/3

C is the answer.

Answer:

x = 5/2 or x = 1/3

Step-by-step explanation:

Simplify  

( 2 x − 5 )( 3 x − 1 ) .

6 x 2 − 17 x + 5 = 0

Use the quadratic formula to find the solutions.

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Substitute the values  a = 6 ,  b = − 17 , and  c = 5  into the quadratic formula and solve for  x .

17 ±sqrt(-17)^2-4*(6*5)

_________________

2*6

Simplify.

x = 17 ± 13 /12

The final answer is the combination of both solutions.

x = 5 /2 ,  1 /3

Answer: 4mn+2m^2 -26m+ 11

Step-by-step explanation:

Answer: --1• (3m + 4n -- 24)

Step-by-step explanation:

I have done this equation before I just can find how to do the problem sorry

Answer:

48 units

Step-by-step explanation:

1. graph

2. separate into a triangle and a square

3. the square is 6x6 squares, so 36 there

4. the triangle is 4x6, so (4x6)/2 is 12

5. 36+12 = 48 units

Answer: She uses more than 2 cups of water per day.

Step-by-step explanation:

It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups

Answer:  C. 3w + 8 – w = 4w – 2(w – 4)

(3w - w) + 8 = 4w - 2w -2(-4)

2w + 8 = 2w + 8

Step-by-step explanation:

Answer:

A':2,4

B'4,4

C'2,4

D'2,1.5

Step-by-step explanation:

Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4

Answer:

A

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, 5 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line → A

Answer:

 D

Step-by-step explanation:

vertically stretched is on the outside of the |x| and has to be grater than 1

Answer:

24.75 percents

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

1 oz will produce 4 bags each one with 1/4 of an ounce

64 oz will produce x

1/64 = 4/x              Cross multiply

x*1 = 64 * 4

x = 256  bags.

He will get 256 quarter ounce bags.

| c - 7 | 《 17

- 17 《 c - 7 《 17

add sides 7

- 17 + 7 《 c - 7 + 7《 17 + 7

simplification

- 10 《 c《 24

Answer:

c - 7 ≤ 17

c ≤ 24

Step-by-step explanation:

The difference of c and 7 can be written as c - 7 or 7 - c.

Now, since c - 7 is less than or equal to 17, you need to add ≤ to imply that it's less than or equal to 17.

As always, write the 17 on the other side. Now you have an inequality.

If you just need the equation, it's c - 7 ≤ 17.

But if you want to solve for c, it would be c ≤ 24.

(bring the like terms together and isolate c.)

Answer:

D

Step-by-step explanation:

I took chemistry so I know

Answer:

the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Step-by-step explanation:

The computation of the area and the ratio of the area is shown below:

The ratio of the drawing area to the actual area is  

= ((1 cm) ÷ (4 ft))²

= (1 cm²) ÷ (16 ft²)

 Now the actual floor area is  

(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)

= (16 ft²) × 49 ÷ 1

= 784 ft²

hence, the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Answer:

23 pretzels

Step-by-step explanation:

The range value is obtained by taken the difference between the maximum and minimum values ;

The range = maximum - minimum

From the box and whisker plot attached ; the maximum value = 68

Minimum value = 45

Hence, the range in the number of pretzels :

68 - 45 = 23

Answer:

22

Step-by-step explanation:

Subtract the minimum (44) and the maximum (66) the answer to this question is 22

Answer:

349 butterflies

Step-by-step explanation:

The formula for Exponential Decay =

y = a(1 - r)^t

Where y = Size of population after time t = ?

a = Initial size of population = 500

r = Decay rate = 5%

t = Time = 7 years

Hence,

y = 500(1 - 0.05)⁷

y = 500(0.95)⁷

y = 349.16864805 butterflies.

Approximately = 349 butterflies

Answers:

    1. This question is asking for the dilation, or division of each point by a factor of 3. This is shown in the results below:

         A' = (-4/3, -2/3)

         B' = (1/3, -1)

         C' = (2/3, -5/3)

         D' = (-1/3, 7/3)

    2. This question is asking the same thing as the previous question except for new points and a new scale factor. The results are shown below:

         A' = (3, 1)

         B' = (-2, -2)

         C' = (-4, 6)

         D' = (1, -4)

    3. This question is basically asking to multiply the area of the fence by two as shown with "extend the fence's range by a scale factor of 2." The results are shown below:

        A' = (4, 6)

        B' = (-6, 4)

        C' = (4, -4)

    4. This question is asking for the ratio of each side. Moreover, this means that the same side on both triangles must equal the same ratio. This is shown below:

         75/24 = 25/8

         60/18 = 10/3

The values of 25/8 and 10/3 are not the same, meaning that the scale ratio is not the same. These two triangles are NOT similar because of this.

    5. This question is asking the same thing as question 4. The results are shown below:

          10/5 = 2

          10/5 = 2

As these values are the same, these two triangles ARE similar because of how the larger triangle is multiplied by a scale factor of 2.