3. Reflect right triangle ABC across line BC. Classify
triangle ACA' according to its side lengths. Explain how
you know.

Answer:

x = 6

Step-by-step explanation:

Use distributive property: a(b + c) = a*b + a*c

3(2x - 4) + 6= 30

3*2x - 3*4 + 6 = 30

6x - 12 + 6 = 30

6x - 6 = 30

     6x = 30+ 6

     6x = 36

       x = 36/6

x = 6

Answer:

x = 6

Step-by-step explanation:

Simplify 3(2x-4) first: 3 (2x) 3(-4) =

6x - 12+6 = 30

Combine like terms: -12 + 6 = -6

6x - 6 = 30

Add 6 to both sides: 6x = 36

Divide both sides by 6: x = 6

CHECK:

3( 2(6) - 4) +6 = 30

3 (12-4) +6 = 30

3(8) +6 = 30

24+ 6 = 30

30 = 30

So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.

Overall:

1st plan: $58 with driving a 3rd of a mile.

2nd plan: $58 with driving 63 miles.

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = P[tex]e^{rt}[/tex], where

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000[tex]e^{8r}[/tex]

→ Divide both sides by 3000

∴ [tex]\frac{11}{6}[/tex] = [tex]e^{8r}[/tex]

→ Insert ㏑ in both sides

∵ ㏑( [tex]\frac{11}{6}[/tex] ) = ㏑([tex]e^{8r}[/tex])

→ Remember ㏑([tex]e^{n}[/tex]) = n

∴ ㏑( [tex]\frac{11}{6}[/tex] ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

Answer:

Part A is I = C

&

Part B is BC = HI

Answer: 5 days

Step-by-step explanation:

12/3=4 souvenirs a day

20/4=5 days

Answer:

Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.

Step-by-step explanation:

12/3 = 4 souvenirs/days

20/4 = 5 days

Answer:

7

Step-by-step explanation:

Right now, this equation is in slope-intercept form, which is

y = mx + b, where m is the slope and b is the y-intercept.

So in this case, the slope = 7.

answer:

it should be the graph on the top right!

The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ f(x) = 0.75ˣ + 1

Now,

Since, The parent function is,

⇒ f(x) = 0.75ˣ + 1

Hence, The points on the function are (0, 2) and (1, 1.75).

Thus, The graph of the parent function is given in option 2.

Learn more about the function visit:

https://brainly.com/question/13804741

#SPJ2

I'm not entirely sure what you mean but simplifying this expression results in 96x + 5 1/2.

9514 1404 393

Answer:

  (b)  Ingrid’s claim is correct, but her steps are incorrect

Step-by-step explanation:

As nearly as we can tell from the problem statement, Ingrid's table looks like the one attache. We have highlighted the incorrect steps.

Step 3 should read ...

  0·cos(y) -(-1)·sin(y) = sin(y) . . . . . . . . . sin(-π/2) = -1

Step 4 should read ...

  0 + sin(y) = sin(y)

So, Ingrid's conclusion is correct, but her steps are incorrect.

i'm going to assume you're supposed to solve for x

Answer:

x = -2

Step-by-step explanation:

so you're trying to get x out of the equation and by it self

i would start this off by setting the equation equal to 0

then subtract 6

i would then divide by 3 on each side

you should then have x+4=2

you then subtract 4 to cancel it out

you then get your answer of x = -2

hope this helps and lmk if you have questions!! <3

Answer:

you need to add the image

Step-by-step explanation:

Answer:

You graph them by using the domain as x and the range y.

Step-by-step explanation:

Answer:

Step-by-step Explanation:

In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]

Such terms are:

Answer:

x = -3 or x = 4

Step-by-step explanation:

[tex]x^2-x-12=0[/tex]

[tex](x+3)(x-4)=0[/tex]

[tex]x + 3 = 0[/tex]

[tex]x = -3[/tex]

[tex]x - 4 = 0[/tex]

[tex]x = 4[/tex]

Answer:

x=-3 or x=4

Step-by-step explanation:

x2−x−12=0

Step 1: Factor left side of equation.

(x+3)(x−4)=0

Step 2: Set factors equal to 0.

x+3=0 or x−4=0

x=−3 or x=4

Answer:

x^2+11x+30

Step-by-step explanation:

Answer: 99,113,91,104,109,114,97

Step-by-step explanation:

Got 100% on the quiz :)

Answer:

D: 101, 135, 131, 99, 138, 136, 140

Step-by-step explanation:

edg2021 (do not get this confused with the question: "which set contains no outliers" hope this helps, please mark me brainliest if it does

Answer: a=-4

Step-by-step explanation:

Answer:

puppies - 22

Step-by-step explanation:

since the ratio is 2:3, there are 5 parts in total. (2+3=5)

55/5=11 then multiply by parts

puppies- 2×11=22

adults- 3×11=33

check answer by adding- 22+33=55

Answer:

22 puppies and 33 adult dogs

Step-by-step explanation:

Total: 55 Dogs

Ratio: 2:3

Puppies : Adults

2 : 3 (1)

20 : 30 (10)

22 : 33   (11)

Answer = 22 puppies

Answer:

it is 1/5

Step-by-step explanation:

.............

Answer:

d=18.

Step-by-step explanation:

subtract eight from twenty six and there's your answer

Answer:

2 times the square root of 41

Answer:

2× square root of 4 should be the answer hope this helpss! :3

Answer:

C

Step-by-step explanation:

Applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet

Recall:

Similar triangles will have corresponding sides that have proportionate length based on the similar triangle theorem.

The two triangles in the diagram are similar.

Therefore, the ratio of their corresponding sides will be equal (i.e. corresponding side lengths that are proportional).

Thus:

[tex]\frac{5}{w} = \frac{7}{18}[/tex]

[tex]w = \frac{18 \times 5}{7} \\\\w = 12.9[/tex]

Therefore, applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet

Learn more here:

https://brainly.com/question/10269775

Answer:

$600

Step-by-step explanation:

400*1.5=600

Answer:oslo was colder it was -12 and copenhagen was -6

Answer:

The system of equations has infinite solutions

Step-by-step explanation:

∵ y = -3x - 7 ⇒ (1)

∵ -6x - 2y = 14 ⇒ (2)

→ Substitute y in equation (2) by equation (1)

∴ -6x - 2(-3x - 7) = 14

→ Simplify the left side

∵ -6x - 2(-3x) - 2(-7) = 14

∴ -6x + 6x + 14 = 14

→ Add the like terms in the left side

∵ (-6x + 6x) + 14 = 14

∴ 0 + 14 = 14

∴ 14 = 14

∵ The variable is disappeared and the two sides of the equation equal

∴ The equation has many solutions

→ That means x and y can be any numbers

∴ The system of equations has infinite solutions

Answer: decrease

50% I think this is correct

Step-by-step explanation:

Answer:There was a

66.7

%

d

e

c

r

e

a

s

e

in the number of people.

thats also rounded hope it helps :)

Step-by-step explanation:

Answer:

56

Step-by-step explanation: