What method could be used to prove the triangle congruent?

Answer:

7.5

Step-by-step explanation:

[tex]a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5[/tex]

Answer: 60 devil offspring.

Step-by-step explanation:

The total number of devils in the Island is 80.

Out of this 80, 75% are offspring from the two previous breeding seasons.

This percentage in a whole number is what the question requires.

The number of offspring from previous seasons is:

= Percent of offspring from previous seasons * Total number of devils

= 75% * 80

= 60 devil offspring.

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

5 is what percent of 25? = 20

Answer:

20÷8=2,5 12÷2,5=4,8 8÷2,5=3,2 10÷2,5=4 5÷2,5=2 therefore 4,8+3,2+4+2=14

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Answer:

y = -1/5x + 6

Step-by-step explanation:

First rearrange x + 5y = 10 into y = mx + b format.

x + 5y = 10

5y = -x +10

y = -1/5x + 2

If a line is parallel to y = -1/5x + 2, it must have the same slope (-1/5).

Plug in for y = mx + b

x (x coordinate) = -5

y (y coordinate) = 7

m (slope) = -1/5

Solve for b.

7 = -5(-1/5) + b

7 = 1 + b

b = 6

y = -1/5x + 6 is parallel.

Answer:

HI! The answer should be around 340.194 grams

Step-by-step explanation:

Calculated it

Answer:

340.194 grams inside the can of orange juice.

Step-by-step explanation:

Answer:

0.0625

Step-by-step explanation:

because the other answer is wrong.

(and bad) :)

Answer:

4 [tex]\frac{2}{4}[/tex]

Step-by-step explanation:

1+1=2 and 1[tex]\frac{1}{4}[/tex] + 1[tex]\frac{1}{4}[/tex]=2[tex]\frac{2}{4}[/tex]

2+2[tex]\frac{2}{4}[/tex]= 4[tex]\frac{2}{4}[/tex]

Answer:

4 1/2

Step-by-step explanation:

Once we add them up we get 4 2/4, simplified is 4 1/2.

Answer:

314.2 cm²

Step-by-step explanation:

The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm

So, A = πd²/4

substituting the value of d into the equation, we have

A = π(20 cm)²/4

A = π400 cm²/4

A = 100π cm²

A = 314.16 cm²

A ≅ 314.2 cm²

Answer:

100pi

Step-by-step explanation:

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

Answer:

1st blank :

-4

star :

5

it's correct answers

Answer:

For the first column, the y= -4

For the last column, y= 5

Step-by-step explanation:

For the first column explanation:

For the last column explanation:

I hope this helps!

f(x) = 3x + 1

f(2) = 3 * 2 + 1 = 6 + 1 = 7

Answer : A)

Answer:

The answer is 7

Step-by-step explanation:

[tex]f(2) = 3(2) + 1 \\ = 6 + 1 \\ = 7[/tex]

Step-by-step explanation:

3.5 + 0.25 = 3.75

minimum

32 × 3.75 = 120 cups of flours

maximum

48 × 3.75 = 180 cups of flours

Answer:

4 hope it helps you better

Answer:

Step-by-step explanation:

If the (X) in this means times then

1/15

The value of solution of expression is,

⇒ 1 / 15

We have to given that;

Expression is,

⇒ 1/5 × 1/3

Now, We can multiply the numbers as;

⇒ 1/5 x 1/3

⇒ 1 / (5×3)

⇒ 1 / 15

Thus, The value of solution of expression is,

⇒ 1 / 15

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Answer:

1.25 m

Step-by-step explanation:

Given that :

Initial height of drop = 20 meters

Rebound after each drop = 1/2 of height

Height after 4th rebound = 5th term of a geometric series

An = a1 * r^(n-1)

a1 = first term = initial drop height

r = common ratio = ratio of rebound per drop = 1/2 = 0.5

A5 = 20 * 0.5^(5 - 1)

A5 = 20 * 0.5^4

A5 = 20 * 0.0625

A5 = 1.25 m

Hence height after 4 reboubd = 1.25 m

Using another method :

1st bounce height = 20 * 0.5 = 10

2nd bounce height = 10 * 0.5 = 5

3rd bounce height = 5 * 0.5 = 2.5

4th bounce height = 2.5 * 0.5 = 1.25

Answer:

12 dollars

Step-by-step explanation:

9+3

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

4 months

Step-by-step explanation:

Let

x = number of months

Double Mint Mobile = 100 + 30x

BT&T = 20 + 50x

After how many months will both cell phone plans cost the same?

Equate the cost of both phone plans

Double Mint Mobile = BT&T

100 + 30x = 20 + 50x

100 - 20 = 50x - 30x

80 = 20x

x = 80/20

x = 4 months

Number of months = 4 months

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

Answer:

3.53

Step-by-step explanation:

Answer:

366

starts at 9, jumps by 7 each time.

so it's 9 plus 7 times the number if remaining jumps.

51x7= 357

add the origiinal 9, and you get 366

Answer:

A is the answer

Step-by-step explanation:

Answer:

-209

Step-by-step explanation:

-10*(22)+11

-220+11

-209

Answer:     -209

Step-by-step explanation:

f(22)=-10(22)+11

f(22)=-220+11

f(22)=-209

Answer:

[tex]f(n) = \frac{4^n-0.25}{3}[/tex] --- Job offer 1

[tex]g(n) = 16n[/tex] --- Job offer 2

[tex]1 \le n \le 10[/tex]

Step-by-step explanation:

Given

Job offer 1:

Offer = $0.25

[tex]Day 1 = \$1\ Day 2 = \$4\ Day 3 = \$16......[/tex]

Job offer 2:

Daily = $16

Required

Determine the equation for both jobs

For job offer 1:

Considering the pay for day 1, day 2,....

The sequence shows a geometry progression where the payment between subsequent days is a product of 4 by the payment of the previous day.

The sequence can be represented as:

[tex]T_1 = 1; T_2 = 4; T_3 = 16[/tex]

The common ratio (r) is:

[tex]r = \frac{T_2}{T_1} = \frac{4}{1} = 4[/tex]

The sum of n terms is the total salary received in n days.

[tex]S_n = \frac{a(r^n - 1)}{r-1}[/tex]

[tex]S_n = \frac{1 * (4^n - 1)}{4-1}[/tex]

[tex]S_n = \frac{4^n - 1}{3}[/tex]

So, the equation for job offer 1 is:

[tex]f(n) = Offer + S_n[/tex]

[tex]f(n) = 0.25+ \frac{4^n - 1}{3}[/tex]

Take LCM

[tex]f(n) = \frac{0.75 + 4^n - 1}{3}[/tex]

Collect like terms

[tex]f(n) = \frac{4^n - 1+0.75}{3}[/tex]

[tex]f(n) = \frac{4^n-0.25}{3}[/tex]

For job offer 2:

Daily payment of $16 implies that job offer 2 pays 16n for n days.

So:

[tex]g(n) = 16n[/tex]

In both cases: [tex]1 \le n \le 10[/tex]

Answer:

All real numbers such that 37.75 <or= y <or= 40

Step-by-step explanation:

This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.