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Answer:

x = 14

4x = 56

3x - 8 = 34

Step-by-step explanation:

(4x) + (3x -8) = 90

7x + (-8) = 90

7x - 8 = 90

7x (- 8 + 8) = 90 + 8

7x = 98

7x/7 = 98/7

x = 14

4 x 14 = 56

3 x 14 = 42 - 8 = 34

56 + 34 = 90

Answer:

Turkey, country that occupies a unique geographic position, lying partly in Asia and partly in Europe. Throughout its history it has acted as both a barrier and a bridge between the two continents

Step-by-step explanation:

Answer:

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

24) IN A PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL

3y + 2 = 62

3y = 62 - 2

3y = 60

y = 60/3

y = 20°

ALSO IN A PARALLELOGRAM ADJACENT SIDES SUM IS 180°

62 + 5x + 3 = 180°

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23°

so option c is correct

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.

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25) IN A PARALLELOGRAM THE SIDES OF SAME DIAGONAL ARE EQUAL

5x - 4 = 10x - 24

5x - 10x = -24 + 4

-5x = -20

x = 20/5

x = 4

4x + 14 = 3y + 9

4(4) + 14 = 3y + 9

16 + 14 = 3y + 9

30 = 3y + 9

3y = 30 - 9

3y = 21

y = 21/3

y = 7

.

.

.

so option b is correct

I KNEW ONLY THESE BOTH QUESTIONS

Answer:

We are dividing a slab of wood into equal pieces, so the obvious function would be to divide. And how long are the pieces going to be? 1/4 of a foot. so that gives us:

6 ÷ ¼.

Now, when we divide by a fraction, we flip the numerator and denominator and multiply, so the equation will look like:

6 * 4

Solve that, and you'll have your answer.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

Answer:

XY = 4.75 cm

Step-by-step explanation:

Δ VXY and Δ VWZ are similar so the ratios of corresponding sides are equal, that is

[tex]\frac{XY}{WZ}[/tex] = [tex]\frac{VX}{VW}[/tex] , substitute values

[tex]\frac{XY}{2.5}[/tex] = [tex]\frac{4.5+5}{5}[/tex] = [tex]\frac{9.5}{5}[/tex] ( cross- multiply )

5 XY = 23.75 ( divide both sides by 5 )

XY = 4.75 cm

Answer:

b = v

Step-by-step explanation:

3b = 6v – 3b

Add 3b to each side

3b+3b = 6v – 3b+3b

6b = 6v

Divide by 6

6b/6 = 6v/6

b = v

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

Answer:

v = 16

Step-by-step explanation:

p = 8/v and p = 1/2.  Equating these two, we get 8/v = 1/2.

Inverting both sides, we get v/8 = 2.

Find the vaue of v by multiplying both sides by 8:  v = 16

Answer:

It won't carry it safely

Step-by-step explanation:

truck capacity ? load value

5000 gallons ? 600 bushels

5000 gallons < 5585 gallons

600 bushels ie 5585 gallons is larger than 5000 gallons, which is the truck's capacity

Answer:

y-4=7(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=7(x-1)

The equation of the line with a slope of 7, passing through the point (1,4), in point-slope form is y = 7x - 3.

To write the equation of a line in point-slope form, we use the formula:

y - y₁ = m(x - x₁)

where m represents the slope of the line and (x₁, y₁) represents the coordinates of a point on the line.

In this case, the given slope is 7 and the point (1,4) lies on the line. Plugging in the values into the formula, we have:

y - 4 = 7(x - 1)

Simplifying the equation, we can distribute the 7:

y - 4 = 7x - 7

To isolate y, we can add 4 to both sides of the equation:

y = 7x - 7 + 4

y = 7x - 3

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Answers:

===========================================

Explanations:

Answer:

7 cm and 2 cm

Step-by-step explanatio

Answer:

x=22

Step-by-step explanation:

4x+2+x+3x+2=180

collect like terms

4x+x+3x=180-(2+2)

8x=180-4

8x=176

make x the subject of the formula

x=176/8

x=22

Answer:

4x + 2 + x + 3x + 2 = 180 (all angles of a triangle will equal 180 degrees)

Combine like terms:

8x + 4 = 180

-4            -4

8x = 176

Divide by 8 on both sides:

X = 22

So now we find the angles.

4 x 22 + 2 = 90 degrees for 4x + 2

3 x 22 + 2 = 68 degrees for 3x + 2

22 degrees is for X

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200

Answer:

diameter will be 26ft that's D

Answer:

vertical opposite angle

vertical opposite angle

vertical opposite angle

Answer: vertical

Step-by-step explanation: :)

Given:

Selling price (S.P.)= $4,600

Cost price (C.P.)= $4,000

To find:

The profit percentage.

Solution:

Formula used:

[tex]\text{Profit}\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

Using this formula, we get

[tex]\text{Profit}\%=\dfrac{4600-4000}{4000}\times 100[/tex]

[tex]\text{Profit}\%=\dfrac{600}{40}[/tex]

[tex]\text{Profit}\%=15[/tex]

Therefore, the profit percentage is 15%.

Answer:

Step-by-step explanation:

We can assign variables as:

d  = original breaking distance

b  = original speed of the vehicle

d′  = increased breaking distance

b′  = increased speed of the vehicle

We can look at it this way, originally it was like this:

d=kb2  

Now, if we increase the speed to b’ which 200% more than b, we will have

d′=k(b′)2  

d′=k(b+2b)2  

d′=k(3b)2  

d′=9kb2  

Obtaining the difference between d and d’, we have

d′−d=9kb2−kb2  

d′−d=8kb2  

in terms of d

d′−d=8(kb2)  

d′−d=8d  

Adding d on both sides of the equation,

d′=d+8d  

Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.

Hope this answer helps you :)

Have a great day

Mark brainliest

There is a 100% increase in the braking distance after 50% increase in speed.

A body is said to be of speed v m/s if it travels v meter per second.

The braking distance of a car is directly proportional to the velocity of its speed(v m/s)

When the speed of the car is increased by 50% then the speed of the car v m/s becomes (3v/2) m/s.

The braking distance of a car is directly proportional to the square of its speed hence, the braking distance becomes

v²c where c is some constant.

So, the braking distance after 50% of the car speed is increased becomes  (3v/2)²c₁, where c₁ is some constant.

Hence, the percentage change in the car's braking distance is

[tex]\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}}[/tex]

[tex]=\frac{\frac{9-6}{4}}{\frac{3}{2}}\\=1[/tex]

That means there is a 100% increase in the braking distance after 50% increase in speed.

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Answer:

6

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(5+4) * 4 = x^2

9*4 = x^2

36 = x^2

Taking the square root of each side

6 =x

Answer:

d-6

Step-by-step explanation:

Answer:

[tex]m=7\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]

[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]

[tex]m=7\frac{5}{16}[/tex]

Answer:

75 grams

Step-by-step explanation:

We need to write a ratio to solve

12 grams pro              9 grams pro

-----------------          =   -------------------

100 grams cereal          x grams cereal

Using cross products

12x = 100 *9

12x = 900

Divide by 12

12x/12 = 900/12

x =75

Answer:

75 grams of cereal will give 9 grams protein.

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Let grams of will give you 9 grams of protein = x

To solve it, we need to write it in ratios

12 grams protein = 100 grams cereal

9 grams protein = x grams cereal

Using cross multiplication method

12 × x =9 × 100

12 x = 900

Divide each side by 12

12 x / 12 = 900/12

x = 75

Answer:second number lone wants to eat first so 2<1

Step-by-step explanation:

-1<1

Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2

Answer:

B. 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-2, -3)

Point (3, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

-3, -13, -23, -33, -43

Step-by-step explanation:

An atithmetic sequence has a common difference between each term

in -3, -13, -23, -33, -43

the difference between terms is a constant -10

Answer:

cos C= 15/39

Step-by-step explanation:

The value of cos C rounded to the nearest hundredth is 0.38.

In a right angle triangle the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Pythagoras' theorem states that for all right-angled triangles, "The square on the hypotenuse is equal to the sum of the squares on the other two sides".

According to the given question

We have a right angled triangle ABC, in which right angle is at B.

Also,

BC = 15

AB = 36

[tex]AC = \sqrt{AB^{2}+BC^{2} }[/tex]              (By Pythagoras theorem)

⇒[tex]AC = \sqrt{15^{2} +36^{2} }[/tex]

⇒[tex]AC = \sqrt{1521}[/tex]

⇒AC = 39

⇒ Hypotenuse of triangle ABC is 39.

Now, the adjacent side w.r.t ∠C is BC

Therefore, the cosine of an angle C is given by

[tex]cosC=\frac{BC}{AC}[/tex]

⇒[tex]CosC= \frac{15}{39} =\frac{5}{13}[/tex]

⇒[tex]cosC =0.38[/tex]

Hence, the value of cos C rounded to the nearest hundredth is 0.38.

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Answer:

61.2 in

Step-by-step explanation:

Draw a segment from O perpendicular to AB forming a right triangle.

Call the point of intersection J.

m∠HAB = (8 - 2)180/8 = 135

m∠BAO = 135/2 = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB) = 8(2)(10 cos 67.5) = 61.2 in.

The perimeter of a regular octagon that has a distance from its center to any of its vertices of 10 inches would be 61.2 inches.

A polygon is a closed figure made up of three or more line segments connected end to end.

First, we draw a segment from O perpendicular to AB forming a right triangle.

Let say the point of intersection J.

∠HAB = (8 - 2)180/8

          = 135

∠BAO = 135/2

           = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB)

               = 8(2)(10 cos 67.5)

               = 61.2 in.

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Answer:

x = 17/3

Step-by-step explanation: