Given: Angle 1 and Angle 2 are complementary, and Angle 2 and Angle 3 are complementary. Prove: Angle 1 = Angle 3 Statements: Reasons 1. Angle 1 and angle 2 are complementary. 1. Given Angle 2 and angle 3 are complementary. 2. M angle 1 + m angle 2= 90 degrees 2. Definition of complementary m angle 2 + m angle 3= 90 degrees 3. ? 3. ? 4.? 4.? 5.? 5.? 6.? 6.?

Answer:

8/15

Step-by-step explanation:

Given that school A has 600 students and school B has 900 students.

As in School A, 1/3 of the children attend the after-school program.

So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.

As in School B, 2/3 of the children attend the after-school program.

So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.

Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.

Total number of elementary school students in the county,

N = 600+900=1500

Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.

Answer:

8.02,8.025,8.2,8.225

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

The given sides  form a right angled triangle , beacuse  (hypotenuse)^2 = (base)^2 + (height)^2

The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2​​. Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

According to the Pythagoras theorem ,

In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.

⇒ (hypotenuse)^2 = (base)^2 + (height)^2

∴ (65)^2 + (72)^2 = (97)^2

⇒ 4225 + 5184 = 9409

⇒ (97)^2 = 9409

∴ 9409 = 9409

Hence, the given sides  form a right angled triangle.

To learn more about the  Pythagoras theorem   here:

https://brainly.com/question/12381687

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Answer:

131.58 feet

Step-by-step explanation:

Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).

So, we find the distance, d between the Ferris wheel and the swing using

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).

Now  (x₁, y₁) = (95, 156) and  (x₂, y₂) = (-23, 124)

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-23 - 95)² + (124 - 156)²]

d = √[(-118)² + (-68)²]

d = √[13924 + 4624]

d = √18548

d = 136.191 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet

We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use

d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now  (x₁, y₁) =  (0, 0)  and  (x₂, y₂) = (95, 156)

So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

d" = √[(95 - 0)² + (156 - 0)²]

d" = √[95² + 156²]

d" = √[9,025 + 24,336]

d" = √33,361

d" = 182.65 feet

Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel =  d" - d'

= 182.65 feet - 51.07 feet

= 131.58 feet

Answer: $1900

Step-by-step explanation:

Simple math

9514 1404 393

Answer:

  a) 18/6 = b/4 = r/5

  b) b = 12, r = 15

Step-by-step explanation:

a) The proportion will simply state the fact that the ratio of shirt dimension to logo dimension is the same for all. We'll use 'b' for the bottom dimension and 'r' for the upper right dimension. Then the proportions are ...

  shirt/logo = 18/6 = b/4 = r/5

__

b) In each case, multiply by the denominator to find the value of the variable.

  3(4) = b = 12

  3(5) = r = 15

The bottom dimension is 12 cm; the top right dimension is 15 cm.

Answer:

the blank is 2 <3

Answer:

2

Step-by-step explanation:

You can do the inverse to find the answer like this.

8-6=

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

Answer:

jhcgskuaygrhfksrhdfcgiuzx6yh

.luc

Step-by-step explanation:

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

Answer:

y = 2x

Step-by-step explanation:

For every inch there is 2 feet

Answer:

I'm a bit confused, but it would cost $1.20 to make a dozen cups of lemonade

Step-by-step explanation:

0.30 divided by 3 is 0.10, and a dozen is twelve which makes the problem 0.10x12 which equals $1.20

Answer: 56.64%

Step-by-step explanation:

Given: Previous amount of flour = 2.26 kilograms

By the end of the baking session, amount of flour = 0.98 kilograms

Decrease in amount = 2.26-0.98 = 1.28  kilograms

Percent decrese = [tex]\dfrac{\text{decrease in amount }}{\text{previous amount}}\times100[/tex]

[tex]=\dfrac{1.28}{2.26}\times100\approx56.64\%[/tex]

Hence, the percent decrease in the amount of flour = 56.64%

Answer:

43

Step-by-step explanation:

56-13=43............

Answer:

d = 43

Step-by-step explanation:

56 = 13 + d  Subtract 13 from 13 and subtract 13 from 56.

43 = d

Answer:

22.7?

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we find the GCF or Greatest Common Factor

20: 1, 2, 4, 5, 10, 20

16: 1, 2, 4, 8, 16

As you can see 4 is the GCF (Greatest Common Factor)

so, the largest number of groups are 4

Unless you are asking for how many girls and boys can be fit in each group then,

20 ÷ 4 = 5

16 ÷ 4 = 4

So, 5 boys and 4 girls are in each group.

Answer:

202.50

Step-by-step explanation:

Answer:

£202.50

Step-by-step explanation:

£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.

Hope this helps :D

Answer:

1 x 10^9

Step-by-step explanation:

Answer:

call 911 if you are in a emergency.

Answer:

c

Step-by-step explanation:

y = -5/2 + b (substitute the co-ordinates in y and x)

5 = -5/2 × (-2) + b

5 = 5 + b

b = 5-5

b = 0

Answer:

43.75 or 175/4 (43 3/4)

Answer:

i think its 43 or 43.75

Step-by-step explanation:

Answer:

answer:900

Step-by-step explanation:

[tex]3000 \times 6 \times 5 \div 100 = \\ 300 \times 6 \times 5 = \\ 900[/tex]

Answer:

There is no graph

Step-by-step explanation:

Answer:

its simple ans is 1.2 acres

Answer:

h

Step-by-step explanation:

h

Answer:

6

Step-by-step explanation:

Answer:

11 + m > -23

Step-by-step explanation:

Answer:

m > -34

Step-by-step explanation:

1 - Translate words to math

The sum of 11 and m

11 + m

is greater than -23

> -23

Therefore our inequality is;

11 + m > -23

2 - Solve it algebraicly

Although we dont use this rule here its good to know.

Unless we divide or multiply by negatives our inequality symbol stays the same. If that rule applies we flip the inequality (i.e. > to < and vice versa)

Now with that out of the way we can fully simplify our inequality as long as we know it works like an equality.

11 + m > -23

-11           -11

      m > -34

So with this in mind we know our m value is greater than all numbers greater than -34 which is written as m > -34

Hope this helps :)

Answer:

4*3 - 3*3;

Joe read 3 more books than Craig

Step-by-step explanation:

Given

Craig:

3 books weekly for 3 weeks

Joe:

4 books weekly for 4 weeks

Required

How many more books did Joe read.

First, we need to determine number of books Craig reads

If in a week, Craig reads 3 books

Then in 3 weeks, Craig reads 3 * 3 books

Next, we need to determine number of books Joe reads

If in a week, Joe reads 3 books

Then in 4 weeks, Joe reads 4 * 3 books

Next, we determine the difference;

[tex]Difference = 4 * 3 - 3 * 3[/tex]

[tex]Difference = 12 - 9[/tex]

[tex]Difference = 3[/tex]

Hence, Joe reads 3 more books

Option D answers the question.