Are these shapes similar or congruent?

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

8x = 72

x = 9

Answer:

4 avocados

Step-by-step explanation:

$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4

Answer:

Step-by-step explanation:

1. I can't see the first one very well.

2. Find the area of each triangle by doing 1/2 * base * height. This should give you [tex]40m^{2}[/tex]

3. The area of a trapezium is [tex]\frac{1}{2} (a+b)h[/tex] where a is the top edge, b is the bottom edge and h is the height.

We can work out the bottom edge using pythagoras - split the trapezium into 2 triangles on each side and a rectangle in the middle. This gives you the length of the bottom edge which is 2 + 2 + 2 = 6'

Work out the area by doing 1/2(2+6)4 = 16' squared.

4.Split this shape into a triangle and rectangle. We know the right hand edge of the triangle= 9-4 = 5'.

To find the bottom edge of the triangle, use tanθ=opposite/adjacent line. Therefore tan45=bottom edge of triangle/5'. tan 45=1 therefore bottom edge = 5'.

The bottom edge of triangle gives us the height; use 1/2(a+b)h to work out the area of the trapezium. 1/2(4+9)5 = 32.5' squared

Answer:

1.081081081

hope this helped

Answer:

=x+2

Step-by-step explanation:

Answer:

g(f(x)) = x² - 3x + 4

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(x² - 3x + 2)

= x² - 3x + 2 + 2

= x² - 3x + 4

Answer:

sorry but there's nothing to be solve the the only thing that I know can be done is expansion expanding the equation

Step-by-step explanation:

Answer:

A,D,F

Step-by-step explanation:

Answer:

7^x•7^x, (7•7)^x, 7^2x

Step-by-step explanation:

Just took it, the other one is wrong

Answer:

A & E

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I learned this a while ago, if you have the < symbol then you shade below the dotted line. You can get the rest.

Answer:

50

Step-by-step explanation:

Use this equation

[tex] \frac{b - a}{2} = angle \: yuv[/tex]

where b is arc VY, A is arc XV.

Substitute the equation in

[tex] \frac{132 - a}{2} = 41[/tex]

[tex]132 - a = 82[/tex]

[tex] - a = - 50[/tex]

[tex]a = 50[/tex]

so our arc measure is 50

Answer:

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Step-by-step explanation:

P.S - The exact question is -

Given - A shipment of 12 television sets contains 3 defective  sets.

To find - In how many ways can a hotel purchase  5 of these sets and receive at least 2 of the defective  sets?

Proof -

We know that The combination of n distinct objects taken k at a time is

[tex]^{n} C_{k} = \frac{n!}{k! (n-k)!}[/tex]

Now,

The number of ways hotel can receive 2 defective sets among 5 that can be purchased is

[tex]^{9} C_{3} * ^{3}C_{2} = \frac{9!}{3! (9-3)!} \frac{3!}{2! (3-2)!}[/tex]

⇒[tex]^{9} C_{3} * ^{3}C_{2}[/tex] = 84(3) = 252

Now,

The number of ways that hotel receives 3 defective sets among 5 that are purchased is

[tex]^{9} C_{2} * ^{3}C_{3} = \frac{9!}{2! (9-2)!} \frac{3!}{3! (3-3)!}[/tex]

⇒[tex]^{9} C_{2} * ^{3}C_{3}[/tex] = 36(1) = 36

Now,

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 252 + 36 = 288

⇒Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Answer:

b

Step-by-step explanation:

Answer:

The true properties of segment MN are;

1) MN is parallel to CB

2) MN = 2

Step-by-step explanation:

From the figure, we have;

The length of segment AN = 1

The length of segment NC = 2 = 2 × The length of segment AN

The length of segment AM = 1.8

The length of segment MB = 3.6 = 2 × The length of segment AM

The length of segment AC = 1 + 2 = 3

The length of segment AB = 1.8 + 3.6 = 5.4

Therefore, the length of transversal segments AC and AB are proportionally cut by the two lines, MN and CB

By the triangle proportionality theorem, two transversals are proportionally divided when they are crossed by two or more parallel lines

1) Therefore, lines MN and CB are parallel lines

Whereby we have that MN CB, we get;

ΔAMN ~ ΔABC

Therefore;

AN/AC = MN/CB

Plugging in the values, we get;

1/3 = MN/6

NM = 6 × 1/3 = 2

2) MN = 2

The length of segment CB = 6

Therefore, what must about segment MN are;

MN is parallel to CB and MN = 2.

By applying properties of similar triangles we got that MN is equal to 2 units.

Triangles whose shape are same are known as similar triangle .

In the given figure we can see that

in triangle  ABC and AMN

AN=1  

NC=2

So AC= AN+NC=1+2=3

AM=1.8

MB=3.6

So AB=AM+MB=5.4

[tex]\frac{AN}{NC}=\frac{1}{3} \\\\[/tex]

and

[tex]\frac{AM}{AB} =\frac{1.8}{5.4}=\frac{1}{3}[/tex]

And angle A is common in both triangles

Hence by SAS property  triangle  ABC and AMN are similar .

So

[tex]\frac{MN}{CB}=\frac{1}{3} \\\\\\\\\frac{MN}{6}=\frac{1}{3} \\\\\\\\MN=2[/tex]

By applying properties of similar triangles we got that MN is equal to 2 units.

To learn more about similar triangles visit:https://brainly.com/question/2644832

Given:

Length of the rectangle = [tex]x+4[/tex]

Width of the rectangle = [tex]x[/tex]

The perimeter of the rectangle is less than 140.

To find:

The inequality for the given situation and solve it.

Solution:

We have,

[tex]l=x+4[/tex]

[tex]w=x[/tex]

We know that, the perimeter of a rectangle is

[tex]P=2(l+w)[/tex]

[tex]P=2(x+4+x)[/tex]

[tex]P=2(2x+4)[/tex]

[tex]P=4x+8[/tex]

It is given that the perimeter of the rectangle is less than 140.

[tex]P<140[/tex]

[tex]4x+8<140[/tex]

[tex]4x<140-8[/tex]

[tex]4x<132[/tex]

Divide both sides by 4.

[tex]x<\dfrac{132}{4}[/tex]

[tex]x<33[/tex]

Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is [tex]x<33[/tex].

Answer:

After about 9 minutes.

Step-by-step explanation:

We can write an exponential function to model the decay of Herodium-100.

We are given that it decreases by half every minute.

The standard exponential function is given by:

[tex]f(m)=A(r)^m[/tex]

Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).

Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.

And since it decreases by half every minute, r = 1/2. Thus:

[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]

Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:

[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]

Solve for m. Divide both sides by 2000:

[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]

By logarithm properties:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]

Therefore:

[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]

Mathman will have to rest and replenish after 9 minutes.

Answer:

area = 100.5 in²

Step-by-step explanation:

area = 13.4 x 7.5 = 100.5 in²

Step-by-step explanation:

x+50 = 180 because asim circle

x =180-130

x=150

Answer:

Answer:

6 I think

Step-by-step explanation:

if you add 18 and 16 then you get 36 so she would have 6 left

Answer: x= -[tex]\frac{7-i\sqrt{131} }{2}[/tex],-[tex]\frac{7+i\sqrt{131} }{2}[/tex]

Step-by-step explanation:

Solve the equation by finding x, a, b, and c of the quadratic, then apply the quadratic formula.

Answer: your so bad

Step-by-step explanation:

hahahaahahahahahhahahahahahahaha

Answer:

A. Yes

B. yes

C. Yes

D. No

E. Yes

Step-by-step explanation:

Good luck!

Answer:

c. mB= 85 degrees

Step-by-step explanation:

complementary equals to 90 degrees. so 90-5=85

Answer:

The answer is C.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Plug in every scenario, in see if it equal to each other.

D is the only one that is equal.

Answer:

69.39  kilometers

Step-by-step explanation:

total kilometres driven on each trip = total kilometres driven on all trips / total number of visits

6,870.1 / 99 = 69.394949

To the nearest hundredth means we are rounding off the third number after the decimal point. The second number after the decimal is the hundredth. The third number is less than 4, so zero would be added to the preceding number

69.39 kilometers

After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question is,

Assume the cost of parasailing is x and the cost of surfing is y.

x + y = 175

Total number of people in Parasailing = 16 people

Total number of people in Surfing = 20 people

Total collection done by resort = $3,101

16x + 20y = 3,101

So, the equations will be,

16x+20y=3,101            (i)

x + y = 175                  (ii)

Now, multiply the equation (ii) by 16 and solve the equation,

16x+20y=3,101

16x+16y= 2,800

4y = 301

Now, find the value of y,

y = 301/4

y = 75.25

Then, the value of x will be equal to,

x + y = 175

x+75.25 =175

Solve for x:

x=175-72.25

x = 99.75

To know more about expression:

https://brainly.com/question/14083225

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It seems that your question is not complete, the complete question should be:

A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?

Answer:

C

Step-by-step explanation:

It passes the vertical line test

the vertical line test is taking a vertical line and putting it anywhere on the graph, and if it passes 2 points, it fails, and since if you put the line anywhere, it only passes one point of the parabala, so it passes the line test

Answer: C

Step-by-step explanation: The easiest way to determine if a

relation is a function is to use the vertical line test.

The vertical line test tells us that if we can draw a vertical line

that intersects more than one point on the graph of a relation,

then the relation is not a function.

However, in this case, notice that there is no way to draw a

vertical line that intersects more than one point on the graph.

Therefore, this relation must be a function.

Answer: Yes

Step-by-step explanation: If V=12

Then we plug in for the inequality and get 12>7