In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.

Answer:

Step-by-step explanation:

Step one:

given data

principal= $450

rate= 7.5%= 0.075

time = 3 years.

Step two:

the simple interest formula is

A=P(1+rt)

Substituting we have

A=450(1+0.075*3)

A=450(1+0.225)

A=450(1.225)

A=551.25

The answer is $551.25

Answer:

59 degrees

Step-by-step explanation:

All the angles of a triangle (when combined) result in 180 degrees. This means that:

Angle 1 + angle 2 + angle 3 = 180 degrees.

We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:

31 + 90 + w = 180

w = 59

And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!

Answer:

f(4)=3(4)+2

=12+2

=14

f(-2)=3(-2)+2

=-6+2

= -4

Answer: the first one would be 31.65

Step-by-step explanation:

First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655

For the third one x will equal 44.41

Answer:

0+5=5

Step-by-step explanation: If u add nothing then it stays like that

Answer:

5

Explanation:

I'm a goat so I know everything

Answer:14hrs

Step-by-step explanation:joan=10hrs

                                           joan+sally=3hrs

representing joan and sally's time taken in fractions 1/10+-------=1/3

1/3-1/10=7/30

7/30 by 60min(in an hour)

=14hrs

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Answer:

Step-by-step explanation:

Given

Volume of cylinder =36π

Radius of cylinder=3cm

Volume of cylinder=πr^2h

πr^2h=36π

r^2h=36. ( π cancel from both side)

3×3×h=36

h=36/9

h=4cm

Answer:

h=4cm

Step-by-step explanation:

Answer:

44.52 inches

Step-by-step explanation:

If it grows 3.71 inches per month for 12 months, you need to multiply 3.71 by 12, which gives you 44.52.

Answer:

Option (C)

Step-by-step explanation:

Domain of a function is a set of x-values (input values) of the function.

Similarly, Range of a function is a set of y-values (output values).

Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.

Domain → {-2, 2, 1, -2}

Range → {-1, 1, 4, 5}

Option C will be the correct option.

Answer:

Subtract [tex]7x[/tex]from both sides of the equation.

Step-by-step explanation:

According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

that's why we have the beautiful internet

Answer:

48 cm^2

Step-by-step explanation:

First find the area of each shape.

2 triangles- [bxh]x1/2

(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12

Square- (l x w)

3 times 3 (You get the other three from the other side of the rectangle) =9

Left rectangle- (l x w)

3 times 4 = 12

Right rectangle- (l x w)

5 times 3 (You get the three from the side of the square) = 15

Total: 2 triangles Area + Square Area  + Left rectangle Area+ Right rectangle Area = Surface Area

12 + 9 + 12 + 15 = 48 cm^2

Hope this helps!!

Answer:27/2

Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2

Answer: 18 in.

Step-by-step explanation:

Answer:

$49.12

Step-by-step explanation:

Answer: kim made $6,900 in commission for selling the house

Step-by-step explanation:i took the test

its A and B bro. Hope it helps

Answer:1:20, common sense would say 4 to 60, 8 to 90 so we can tell we are adding by 30s therefore number one is 20. 2: 32 for 4 hours, 48 for 6 hours, 64 for 8 hours, so if she works 5 hours mowing lawns she gets 75, and walking dogs for 5 hours would give her 40 so 75-40= 35, Here are all the answers, 1=20. 2=32,48,64. 3=35

Step-by-step explanation:look up

Answer:1,2,4,6

Step-by-step explanation:

I just finished this assignment!!! Good luck and God bless.

Answer:

sorry

Step-by-step explanation:

Answer:

24% is the answer

Step-by-step explanation:

Answer:

-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4

Good Luck!!!

Answer:

5/12

Step-by-step explanation:

slope is  [tex]\frac{1y-2y}{1x-2x}[/tex]

so [tex]\frac{6 - 1}{3 - (-9)}[/tex] and that is 5/12

Please mark brainliest!!! Thanks.

Answer:

? = 9

Step-by-step explanation:

you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!

hope this helps!