Solve the equation 25+11/12b = 47 [11/12 is the fraction eleven twelfths]

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The two-column proof are properties written with reason statements.

Two column proof is always written in two columns. This proof is consist of two parts, first one is the statement part which contain the exact statement of theorem and second part is reason part which consist of reason for that particular statement or equation. Both the parts are written in different columns, thus the proof is called as two-column proof.

In the given question , two-column proofs are as below :

for part 7 - Reflexive Property of Segment Congruence

To prove:  (AB)' ≅ (AB)'

Proof :

            Statements                               Reasons

           segment AB                                Given

           AB = |(AB)'|                                   Definition of segment length

           (AB)' = (AB)'                                  Reflexive property

           (AB)' ≅ (AB)'                                 Definition of congruent segments

for part 8 - Transitive Property of Angle Congruence

To prove: ∠A ≅ ∠C

Proof :

            Statements                               Reasons

           ∠A ≅ ∠B                                      Given

           ∠B ≅ ∠C                                      Given

            m∠A = m∠B                                Definition of congruent angle

            m∠B = m∠C                                Definition of congruent angle

            m∠A = m∠C                                Definition of Transitive property

            ∠A ≅ ∠C                                     Congruence property

for part 9 - Transitive Property of Segment Congruence

To prove: ∠A ≅ ∠C

Proof :

            Statements                               Reasons

           ∠A ≅ ∠B                                      Given

           ∠B ≅ ∠C                                      Given

            ∠A ≅ ∠C                                     Transitive Congruence property

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Given:

Principal = Rs. 2000

Rate of interest = 20% p.a. compounded quarterly.

Time = 1 year

To find:

The compound interest.

Solution:

Formula for amount:

[tex]A=P\left (1+\dfrac{r}{n}\right)^{nt}[/tex]

where,

P = Principal

r = Rate of interest

t= Time

n = number of times interest compounded in an year.

Putting P=2000, r=0.2, n=4 and t=1, we get

[tex]A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]

[tex]A=2000\left (1.05\right)^{4}[/tex]

[tex]A=2000\left (1.21550625\right)[/tex]

[tex]A=2431.0125[/tex]

Now, the compound interest is

[tex]C.I.=A-P[/tex]

[tex]C.I.=2431.0125-2000[/tex]

[tex]C.I.=431.0125[/tex]

Therefore, the compound interest is Rs 431.0125.

Answer:

The correct awnser is C.

Step-by-step explanation:

Answer:

(3,10)-(3,-10)

Step-by-step explanation:

The equation of line is x =3 .

Given,

Straight line graph.

Now,

Equation of line : y = mx + c

m = slope of straight line

c = y intercept.

Here,

The straight line is passing through x = 3 and y = 0.

So, y intercept is also zero.

Thus the equation of line : x = 3

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Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³

Surface area of cone without base: [tex]\pi[/tex]rl

Surface area of hemisphere without base: 2[tex]\pi[/tex]r²

We can just apply the formulas for the question:

Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)

                        = 96[tex]\pi[/tex] + 144[tex]\pi[/tex]

                        = 240[tex]\pi[/tex]

                        = 754cm³ (3 s.f.)

Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)

                                = 60[tex]\pi[/tex] + 72[tex]\pi[/tex]

                                = 132[tex]\pi[/tex]

                                = 415cm² (3 s.f.)

Answer-

The angle of descent is 14.2

The measure of the angle of the descent will be 14.22°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

A plane is sliding to a runaway. At a height of 15.2 miles, its level distance to the runway is 60 miles.

The tangent of angle θ is the ratio of the height to the base of the right-angle triangle.

The measure of the angle of the descent will be given as,

tan θ = 15.2 / 60

tan θ = 0.2533

θ = tan⁻¹ 0.2533

θ = 14.22°

The measure of the angle of the descent will be 14.22°.

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Answer:

descrease & increase

Step-by-step explanation:

Answer:

Decrease and increase.

Step-by-step explanation:

Answer:

Its 5

Step-by-step explanation:

25 divided by 5 is 5

Answer:

m∠1 = 60°

m∠2 = m∠4 = 39°

m∠3 = m∠5 = 21°

Step-by-step explanation:

ΔWXY is a equilateral angle,

Therefore, all angles of the the triangle are equal in measure.

m∠W + m∠X + m∠Y = 180°

3m∠W = 180°

m∠W = 60°

Since, ΔWZY is an isosceles triangle,

m∠3 = m∠5

m∠3 + m∠Z + m∠5 = 180°

m∠3 + 138° + m∠3 = 180°

2m∠3 = 180 - 138

m∠3 = 21°

Therefore, m∠3 = m∠5 = 21°

Since, m∠2 + m∠3 = 60°

m∠2 = 60 - 21

        = 39°

Since, m∠4 + m∠5 = 60°

m∠4 = 60 - 21

        = 39°

m∠1 = 60°

Answer:

The linear system shown is inconsistent.

Step-by-step explanation:

In the system given, the lines do not cross each other. This means that the system has no solution.

A linear system with no solution is considered to be inconsistent.

Hope this helps.

Answer:

the guy above me is right I had it in a test give him branilest

Step-by-step explanation:

Answer:

1. Undefined slope 2.y<2x-5 3.30x+515

Step-by-step explanation:

The 13th term of the given arithmetic sequence is estimated as a = 67x - 64.

In Arithmetic Progression, the difference between the two arithmetic orders is a constant value (AP). Arithmetic Sequence is another name for it.

We'd get to a few specific terms in AP, that were denoted as:

The AP may also be defined using common distinctions, as shown below.

Now, for the given question;

Consider the first term is 'a₁' = -5x+8

Consider the second term as 'a₂' =  x+2

Then, the common difference is calculated as;

d = a₂ - a₁

d = x+2 -(-5x+8)

d = x+2 + 5x - 8

d = 6x - 6

Now, find the 13th term using the formula of nth term;

an = a + (n − 1) × d

a₁₃ = a₁ + (13 - 1) × d

Substituting the values;

a₁₃ = -5x + 3 + (13 - 1) × (6x - 6)

a₁₃ = -5x + 3 + (12) × (6x - 6)

a₁₃ = -5x + 3 + 72x - 72

a₁₃ = 67x - 64

Therefore, the value of the 13th term of an  arithmetic sequence is found as a₁₃ = 67x - 64.

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The correct question is-

Find the 13th term of the arithmetic sequence

−5x+8, x+2, 7x-4,

a. 12 deg, b. 168 deg

We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,

x + y = 180

y = 2(90 - x ) + 12

Solving:

x + 2(90 - x) + 12 = 180

-x + 180 + 12 = 180

x = 12

12 + y = 180

y = 168

Answer:

x=√3

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+3x−2=3x+7

Step 1: Subtract 3x from both sides.

3x2+3x−2−3x=3x+7−3x

3x2−2=7

Step 2: Add 2 to both sides.

3x2−2+2=7+2

3x2=9

Step 3: Divide both sides by 3.

3x2

3

=

9

3

x2=3

Step 4: Take square root.

x=±√3

x=√3 or x=−√3

Step-by-step explanation:

what is correct answer plss tell me also

Answer

D. 440

Step-by-step explanation:

you had me confused so I had to go in my mathmetics book it was 1/4 not 14 thats what had me confused

Answer:  2-9x2

Step-by-step explanation:

uhhh i am pretty sure it is d

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

Given the equation

[tex]7x+9y=5[/tex]

simplifying to write in the lope-intercept form

[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]

The value of x will be 12°

It should be noted that vertically opposite angles are equal.

Therefore, 4x will be equal to 48°

The value of x will be calculated thus:

4x = 48

Divide

x = 48/5

x = 12

Therefore, the value of x will be 12°

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Answer: 12

Step-by-step explanation:

vetrtical angles are equal to eachother. So to solve you would do

4x=48

then you have to get x by itself and to do so you need to divide the four by itself which will leave one. And as a rule you have to do it to the other side as well so…

4/4x=48/4

x=12

And that’s your answer

hope this helps

Answer:

50 degrees

Step-by-step explanation:

Since this is an isosceles triangle, and the measurements on the left and right are the same, that means that both angle measurements on the bottom are the same.

180 - 80 = 100

100/2 = 50

Answer: x=10

Step-by-step explanation:  1.Subtract the numbers

2. Divide both sides of the equation by the same term

3.Simplify (Cancel terms that are in both the numerator and denominator)

Answer:

its C

Step-by-step explanation:

Answer:

x/35 = 2/7

x = 2/7 ×35

x = 2×5

x = 10

Answer:

x = 10

Step-by-step explanation:

Equation Solving

A common strategy to solve equations given in a rational form is to eliminate denominators.

If the equation is given in the form:

[tex]\displaystyle \frac{x}{a}=\frac{b}{c}[/tex]

We use the cross-product property to make it linear:

cx = ab

And solve it easily by dividing by c.

We are given the equation:

[tex]\displaystyle \frac{x}{35}=\frac{2}{7}[/tex]

Cross-multiplying the denominators:

7x = 2*35

Solving:

x = 70/7=10

x = 10

Answer:

D on edge

Step-by-step explanation:

Answer: 5(v + 22).

Step-by-step explanation: The distributive property is a property of mathematics that says that multiplying the sum of two or more terms by another term will give the same result as multiplying each term individually by the other term and then adding the products together. Thus, we can factor the given equation and get 5(v + 22).

Answer:

The 65% markdown on $158.25 reduces the price by = $102.86

And the new amount price after 65% markdown = $158.25 - $102.86

                                                                                 = $55.39

Step-by-step explanation:

Given the amount

If the Markdown on $158.25 is 65%

i.e.

65% of $158.25 = 65/100 × 158.25

                           = 0.65 × 158.25

                           = $102.86

So, the 65% markdown on $158.25 reduces the price by = $102.86

And the new amount price after 65% markdown = $158.25 - $102.86

                                                                                 = $55.39

Answer:

460 Square Yards.

Step-by-step explanation:

This answer was made using X,Y,Z in yards. (And Times)

Answer:  [tex]-p^2-(q+r)^2[/tex]

Work Shown:

I'm assuming your teacher wants you to factor as much as possible.

[tex]-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\[/tex]

In the last step, I used the rule that [tex](a+b)^2 = a^2+2ab+b^2[/tex]

We cannot factor any further. If the first term was [tex]p^2[/tex] instead of [tex]-p^2[/tex], then we could use the difference of squares factoring rule.

Answer:

A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6) B: Yes C: Yes Step-by-step explanation: A: I obtained the ordered pairs by subtracting .5 inches from 9 inches for each second. B: Yes because for every input there is only one output. For example after 2 seconds, the candle is 8 inches.

Step-by-step explanation:

Answer:

$798.15

Step-by-step explanation:

Easy multiply $5,321 by 15

79,815/ 100