You are currently paid 30 an hour at national. Unfortunately, your boss tells you that your payment will decrease by 20 percent. After that deduction, how much will you be making per hour?

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 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]

Answer:

Multiplying to negative numbers equals a positive answer.

Step-by-step explanation:

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:

descrease & increase

Step-by-step explanation:

Answer:

Decrease and increase.

Step-by-step explanation:

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:

460 Square Yards.

Step-by-step explanation:

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

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:-5 per 2

Step-by-step explanation:m= y1-y2perx1-x2

=–8–7per–4–2 = –15per–6 = –5 per 2

Answer:

S is sine, C is cosine and T is tangent

Step-by-step explanation:

For sine, it's Opposite/Hypotenuse

For Cosine, it's Adjacent/Hypotenuse

and for Tangent, it's Opposite/Adjacent.

Hope this helps.

Answer

SOH is Sine: Opposite leg on Hypotenuse.

CAH is Cosine: Adjacent leg on Hypotenuse.

TOA is Tangent: Opposite leg over Adjacent leg.

Step-by-step explanation:

Depending on what you ask to find the problem.

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:

2.3

Step-by-step explanation

Answer:

7/3

Step-by-step explanation:

The difference between the x is 3 and this is the run

The difference between the y is 7 and this is the rise.

The slope is rise over run so we have:

7/3

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:

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

Step-by-step explanation:

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:

n-20=5

Step-by-step explanation:

When it doesn't give you a number use a variable like n or m.

Answer:

$798.15

Step-by-step explanation:

Easy multiply $5,321 by 15

79,815/ 100  

Answer:

1: 2

3: 14

10: 56

Step-by-step explanation:

Just a simple equation.

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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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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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:

Its C and B

Step-by-step explanation:

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:

26+6x

Step-by-step explanation:

check the image for explanation

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.

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,

Answer:  2-9x2

Step-by-step explanation:

uhhh i am pretty sure it is d

Answer:

a² ; b²

Step-by-step explanation:

Given sides of similar figures is a : b , then

ratio of areas = a² : b²