8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m​

Answer:

ASA

Step-by-step explanation:

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

To prove ABC = ADC, We use ASA triangle postulate.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.

From the given diagram a quadrilateral ABCD is given,

Line segment AC divides quadrilateral ABCD into two triangles namely

ABC and ADC, and both have a common side AC.

m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.

Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.

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Answer: The width is 8cm

Step-by-step explanation:

39x38=1482

11856÷1482 = 8cm

Answer:

3rd choice

Step-by-step explanation:

multiply by 9/5: F=9/5 C

then add 32: F = 9/5C +32

9514 1404 393

Answer:

 (2)  72°

Step-by-step explanation:

In this geometry, the angle at the tangent is half the measure of the intercepted arc.

  ∠CBD = (arc BD)/2 = 144°/2

  ∠CBD = 72°

__

Additional comment

Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.

As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.

Answer:

259.2 cm³

Step-by-step explanation:

The volume of the dilated image is

(3/5)³ × 1200= 27/125 × 1200

= 259.2 cm³

Answer:

3.316

Step-by-step explanation:

Answer:

2(2w) + 2(w) = 390

6w = 390

w = 65

2w or l = 130 feet

Answer:

E

Step-by-step explanation:

Beans: 2 possibilities

Meat: 3 possibilities

Vegetables: 4 posibilities

Toppings: 4 possibilities

Then mulltiply the numbers:

2 x 3 x 4 x 4 which equals 96

Answer:

C

Step-by-step explanation:

:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D

Answer:

b

helpful answer to your question

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

[tex]P = \frac{r(PV)}{1- {(1 + r)}^{ - n} } [/tex]

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

n = 4*10

PV = R450550.00

if you have questions, put them in the comment

Answer:

7.  Not enough information to determine congruency

8.congreunt by AAS

Step-by-step explanation:

7.  We know one side and the vertical angles between the triangles.  That is not enough to determine the triangles are congruent

8.  We know one angle and one side are congruent.  The angle between are vertical angles and they are congruent.    We know two angles and one side, so they are congruent by AAS

9514 1404 393

Answer:

  22.5 ft

Step-by-step explanation:

The volume of a square base prism is given by the formula ...

  V = 1/3s²h

Then the height can be found to be ...

  h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft

The height of the container is 22.5 feet.

Answer:

133 fishes

Step-by-step explanation:

Units of food A = 400 units

Units of food B = 400 units

Fish Bass required 2 units of A and 4 units of B.

Fish Trout requires 5 units of A and 2 units of B.

i. For food A,

total units of food A required = 2 + 5

                                                 = 7 units

number of bass and trout that would consume food A = 2 x [tex]\frac{400}{7}[/tex]

                                               = 114.3

number of bass and trout that would consume food A = 114

ii. For food B,

total units of food B required = 4 + 2

                                                = 6 units

number of bass and trout that would consume food B = 2 x [tex]\frac{400}{6}[/tex]

                                                 = 133.3

number of bass and trout that would consume food B = 133

Thus, the maximum number of fish that the lake can support is 133.

Answer:

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3

Step-by-step explanation:

edg2020 thank me latter

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

We have,

The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.

To compare the growth rates of the two functions, we can look at their derivatives.

The derivative of y = 7x is 7, which is a constant, while the derivative of

y = 7% is y' = 0.07y, which is proportional to y.

Now,

For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.

This eliminates options 1 and 3.

For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.

This eliminates option 2.

Thus,

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

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Step-by-step explanation:

તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર

લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ

Answer:

C. It the correct answer

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that [tex]p = 0.7[/tex]

20 eligible voters were randomly selected from the population of all eligible voters.

This means that [tex]n = 20[/tex]

What is the probability that fewer than 11 of them will vote?

This is:

[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308[/tex]

[tex]P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120[/tex]

[tex]P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039[/tex]

[tex]P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010[/tex]

[tex]P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002[/tex]

[tex]P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0[/tex]

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479[/tex]

0.0479 = 4.79% probability that fewer than 11 of them will vote

Answer:

216 square feet

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

w= width

h= height

l= length

Use the formula with the given dimensions:

2 (6 • 2 + 12 • 6 + 12 • 2)

= 2 (12 + 72 + 24)

= 2 (108)

= 216

Surface area is measured in square feet

(feet in this case)

Hope this helps

Answer:

i don't know if it is correct or not, sorry if i were mistaken

The value of x and y for the given system of equations is 1 and 6 respectively.

A system of equations is a collection of two or more equations with a same set of unknown variables.

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

The substitution method is a method to solve simultaneous linear equations. In which the value of one variable from one equation is substituted in the other equation.

According to the given question

we have a system of equations

[tex]6x + 3y = 24..(i)[/tex]

and, [tex]3x -4y = -21..(ii)[/tex]

From equation (i)

[tex]6x + 3y = 24[/tex]

⇒ [tex]2x + y = 8[/tex]

⇒ [tex]y = 8-2x[/tex]

Substitute the value of y in equation (ii)

⇒[tex]3x - 4(8-2x)=-21[/tex]

⇒[tex]3x-32+8x =-21[/tex]

⇒[tex]11x = 32-21[/tex]

⇒[tex]11x = 11[/tex]

⇒ [tex]x =1[/tex]

Substitute, x = 1 in either the equations (i) and (ii)

⇒[tex]3(1)-4y =-21[/tex]

⇒[tex]3 -4y=-21[/tex]

⇒[tex]-4y = -21-3[/tex]

⇒-4y = -24

⇒[tex]y =6[/tex]

Hence, the value of x and y for the given system of equations is 1 and 6 respectively.

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[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

Step-by-step explanation:

[tex]10 - 5 \frac{2}{3} \\ = 10 - \frac{17}{3} \\ = \frac{10 \times 3}{1 \times 3} - \frac{17}{3} \\ = \frac{30 - 17}{3} \\ = \frac{13}{3} \\ = 4 \frac{1}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

sis

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Multiplying the exponents is adding them together.

Answer:

x^8

Step-by-step explanation:

Multiply the terms with the same base by adding their expondents

x^6+2^2

add the numbers 6+2= 8

Answer:

31 trees per acre will maximize the harvest

Step-by-step explanation:

Given

[tex]Plant \to 55[/tex] trees/acre

[tex]Yield \to 25[/tex] bushels

[tex]x \to trees[/tex]

Required

Number of trees to maximize harvest

From the question, we understand that:

Yield will decrease by 4 i.e. 25 - 4x

For every additional tree planted, i.e. 55 + x

So, the function is:

[tex]F(x) = (25- 4x)*(55+x)[/tex]

Open bracket

[tex]F(x) = 25 * 55 -4x * 55 + 25 * x -4x*x[/tex]

[tex]F(x) = 1375 - 220x + 25x -4x^2[/tex]

[tex]F(x) = 1375 -195x -4x^2[/tex]

Rewrite as:

[tex]F(x) = -4x^2 -195x +1375[/tex]

The maximum of a quadratic function is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

In the above equation:

[tex]a = -4; b =-195; c = 1375[/tex]

So:

[tex]x = -\frac{-195}{2 * -4}[/tex]

[tex]x = -\frac{195}{8}[/tex]

[tex]x = -24.375[/tex]

Recall that the number of trees to be planted is: 55 + x

So, we have:

[tex]Trees = 55+x[/tex]

[tex]Trees = 55-24.375[/tex]

[tex]Trees = 30.625[/tex]

Approximate

[tex]Trees = 31[/tex]

Answer:

Step-by-step explanation:

82

Answer:

Step-by-step explanation:

.5(half) x 14(base) x 16(height)=112cm

9514 1404 393

Answer:

  211

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211

Answer:

211

Step-by-step explanation:

given : b = 38 and c = 8

Evaluate :

= b/2 + 3c²

= 38 / 2 + 3 ( 8 )²

= 19 + 3 × 64

= 19 + 192

= 211