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Answer:

x=2

Step-by-step explanation:

9-10x=2x+1-8x

+10x +10x

9=2x+1+2x

9=4x+1

-1 -1

8=4x

÷4 ÷4

x=2

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Rule:

if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)

This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)

We'll focus on the second case sin(A) = cos(90-A)

Simply replace A with x and we have the same idea.

---------

So,

sin(x) = cos(90-x)

cos(90-x) = sin(x)

cos(90-x) = 4/5

You can prove this by drawing out a right triangle as shown below.

Answer:

f = 13[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

Answer:

12x - 73

Step-by-step explanation:

DFE + CFD = 12x + 7

DFE + 90 = 12x + 7

DFE = 12x + 7 - 90

DFE = 12x - 83

therefore

DFE = AFB ( vertically opposite angles are equal)

AFB = 12x - 83

Answer: 804.25

Step by step explanation:

Answer:

575 feet

Step-by-step explanation:

the final depth = 725-150= 575

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

[tex] = 4 + 4 \sqrt{3} + 3[/tex]

[tex] = 7 + 4 \sqrt{3} [/tex]

[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

isn't that the same as before? :D

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture

Answer:

6x < - 39 3/4

Step-by-step explanation:

Answer:

6.)

The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.

7.)

This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)

8.)

We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

the mean of student A is: (68+72+73+67)/4= 70

The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

Answer:

B because when at B angels are the same qnd A and c are also same

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

Answer:

90 cents

Step-by-step explanation:

Find how much money you have by plugging in 18 as n into the expression:

5n

5(18)

Multiply:

= 90

So, when you have 18 nickels, you have 90 cents

Answer:

I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]

Answer:

5596 liters  of oil still need to be transferred.

Step-by-step explanation:

Total oil = 78452 liters

oil transferred each day for 4 days = 18214 liters

The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters

The mount of oil left in ware house A

= 78452 - 72856

= 5596 liters  

Answer:

1. C) 8•9

2. D) 4•2

Step-by-step explanation:

1. multiplication come first before division

2. You have to resolve parenthesis first (3+4•2)

3•24÷12-(3+8)

Answer:

i think c and d

Step-by-step explanation:

math

Answer:

can can travel 280 miles

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Answer:

ㄥBEC=70；ㄥABE=160

Step-by-step explanation:

(x-5)+(3x-5)+90=180

x-5+3x-5+90=180

4x+80=180

4x=100

x=25

ㄥBEC=3*25-5=70

ㄥABE=180-(25-5)=160

Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

The trapezoid has two right angles and at least one obtuse angle, the correct option is B.

A obtuse angle is an angle which is greater than 90° and less than 180°.

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.

Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.

Hence, the trapezoid has two right angles and at least one obtuse angle.

Learn more about trapezoid here;

https://brainly.com/question/1677597

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