The triangles shown are similar. What is the value of x?

Answer:

John scored 20 goals he attempted 28.

Step-by-step explanation:

Given:

John scored 5:7 of the goals he attempted at the soccer game.

During three games, if John scored 20 goals.

Now, to find the number of attempts.

Let the number of attempts be [tex]x.[/tex]

The number of goals = 20.

As, given John scored 5:7 of the goals he attempted at the soccer game.

So, 5 is equivalent to 7.

Thus, 20 is equivalent to [tex]x.[/tex]

Now, to solve by using cross multiplication method:

[tex]\frac{5}{7} =\frac{20}{x}[/tex]

By cross multiplying we get:

[tex]5x=140[/tex]

Dividing both sides by 5 we get:

[tex]x=28.[/tex]

Therefore, he attempt 28.

Good evening ,

Answer:

Circle 0 , 4 , 16

Step-by-step explanation:

→ 0 = 0²

→ 4 = 2²

→ 16 = 4²

:)

Answer:

5 Hours

Step-by-step explanation:

Given:

Chen’s report will take 8 and one third hours to complete.

He has worked for three fifths of the time doing research.

Question asked:

How long has he worked = ?

Solution:

Total hour required to complete the report = [tex]8\frac{1}{3}[/tex] = [tex]\frac{25}{3}[/tex]

He has worked of the total hour = [tex]\frac{3}{5}[/tex]

He has worked = three fifth of the total time doing research.

                         = [tex]\frac{3}{5} \times\frac{25}{3}[/tex]

                         = [tex]\frac{75}{15}[/tex]

                         = [tex]5 hours[/tex]

Thus,he has worked 5 hours doing his research.

The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.

Step-by-step explanation:

Two properties can be used to find the value of the x.

1) Sum of Interior angles of a triangle is 180°.

⇒x+90°+(x-10)°=180.

2x+80°=180°.

2x=180°-80°.

2x=100°.

x=50°.

⇒(x-10)°=40°.

2) The Angle of the straight line is 180°.

From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).

The sum of those two angles will be 180°.

⇒ (x-10)°+ (2x+40)°=180°.

(3x+30)°=180°.

3x=150°.

x=50°.

∴(x-10)°=40° and (2x+40)° = 140°.

∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.

Answer:

The final value of  [tex]b=\frac{29}{11}[/tex]  .

Step-by-step explanation:

Given:

[tex]2b + 8 - 5b + 3 = -13 + 8b - 5[/tex]

We have to find the value of [tex]b.[/tex]

[tex]2b + 8 - 5b + 3 = -13 + 8b - 5[/tex]

Steps to be followed:

Subtract 8b both side.

[tex]2b + 8 - 5b + 3-8b = -13 + 8b - 5-8b[/tex]

[tex]2b - 5b -8b+ 3 +8= -13 - 5[/tex]

[tex]2b - 5b -8b+ 3 +8= -13 - 5[/tex]

[tex]-11b+11=-18[/tex]

[tex]-11b+11=-18[/tex]

[tex]-11b+11-11=-18-11[/tex]

[tex]-11b=-29[/tex]

[tex]-11b=-29[/tex]

[tex]b=\frac{-29}{-11} =\frac{29}{11}[/tex]

So the final value of b is 29/11.

ar(ΔABO) = ar(ΔCDO)

Explanation:

The image attached below.

Given ABCD is a trapezoid with legs AB and CD.

AB and CD are non-parallel sides between the parallels AD and BC.

In ΔABD and ΔACD,

We know that, triangles lie between the same base and same parallels are equal in area.

⇒ AD is the common base for ΔABD and ΔACD and they are lie between the same parallels AD and BC.

Hence, ar(ΔABD) = ar(ΔACD) – – – – (1)

Now consider ΔABO and ΔCDO,

Subtract ar(ΔAOD) on both sides of (1), we get

ar(ΔABD) – ar(ΔAOD) = ar(ΔACD) – ar(ΔAOD)

⇒ar(ΔABO) = ar(ΔCDO)

Hence, ar(ΔABO) = ar(ΔCDO).

Answer:

27 is the right answer

Step-by-step explanation:

10+17=27 :)

Answer:

Step-by-step explanation:

recall that for a radical expression, the following apply

[tex]\sqrt[x]{y} = y^{\frac{1}{x} }[/tex]

compare this with our case, we can clearly see that

x = 4 and y = 10,

substituting into the above equation gives:

[tex]\sqrt[4]{10} = 10^{\frac{1}{4} }[/tex]

The expression [tex]$\sqrt[4]{10}[/tex] can be written as an exponent as [tex]$(10)^{\frac{1}{4} }[/tex].

The general equation of a exponential relationship is -

y = Aeˣ

The general equation of a quadratic equation is -

y = ax² + bx + c

Given is the following expression -

[tex]$\sqrt[4]{10}[/tex]

We can write the given expression in the form of exponential expression as -

y = [tex]$(10)^{\frac{1}{4} }[/tex]

Therefore, the expression [tex]$\sqrt[4]{10}[/tex] can be written as an exponent as [tex]$(10)^{\frac{1}{4} }[/tex].

To solve more questions on exponential function, visit the link below-

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Answer:

86

Step-by-step explanation:

Question:

What is the numerator of the simplified sum?

x/x^2 +3x+2 + 3/x+1

Answer & Step-by-step explanation:

The given equation is as follows.

       \frac{x}{x^{2}+3x+2} + \frac{3}{x+1}

Taking L.C.M, the equation will become as follows.

      \frac{x(x+1)+ 3(x^{2}+3x+2)}{(x^{2}+3x+2)(x+1)}  ........ (1)

Factorize the equation x^{2}+3x+2 in the denominator as follows.

        x^{2}+3x+2

      =  x^{2} + 2x + x + 2  

      = x(x+2) + 1(x + 2)  

      = (x+1)(x+2) ........ (2)

Put the factors in equation (2) in to equation (1), then the equation will become as follows.

     \frac{x(x+1)+ 3(x^{2}+3x+2)}{(x^{2}+3x+2)(x+1)}

    = \frac{x^{2}+x +3x^{2}+9x+6)}{(x+1)(x+2)(x+1)}

    = \frac{4x^{2}+10x+6}{(x+1)^{2}(x+2)}

Now, factorize the numerator as follows.

      \frac{4x^{2}+10x+6}{(x+1)^{2}(x+2)}

   = \frac{4x^{2}+4x+6x+6}{(x+1)^{2}(x+2)}

   = \frac{4x(x+1) + 6(x+1)}{(x+1)^{2}(x+2)}

   = \frac{(4x+6)(x+1)}{(x+1)^{2}(x+2)}

Cancelling (x+1) from both numerator and denominator. Then the equation will be written as follows.

      \frac{(4x+6)(x+1)}{(x+1)^{2}(x+2)}

    = \frac{(4x+6)}{(x+1)(x+2)}

The numerator of simplified sum is (4x+6).

4x+6
C on Edge 2022



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Answer:

$747.50

Step-by-step explanation:

650×15/100=$97.50 which is then added to 650 Becoz his pay is 15% rising=747.50

Answer:

4 : 2

Step-by-step explanation:

The two triangles Δ ABC and Δ A'B'C' are similar.

Here, ∠ A = ∠ A' = 104°, ∠ B = ∠ B' = 50° and ∠ C = ∠ C' = 26°.

Now, the length of AB and the length of A'B' are 4 cm and 2 cm respectively.

Again, the length of BC and the length of B'C' are 9 cm and 4.5 cm respectively.

Therefore, [tex]\frac{AB}{A'B'} = \frac{BC}{B'C'} = \frac{CA}{C'A'} = \frac{4}{2} = \frac{9}{4.5} = 2[/tex]

Hence, the ratio of the corresponding side lengths is 4 : 2. (Answer)

Answer:

4:2

Step-by-step explanation:

Answer:

x = -9±√145 (= 3.04 or -21.04)

Step-by-step explanation:

x²+18x-64 = 0   (move the constant to the right side, add 64 to both sides)

x²+18x = 64   (divide the x-term by 2, square it, then add it to both sides)

x²+18x + (18/2)²= 64 + (18/2)²     (simplify)

x²+18x + 9²= 64 + 9²

x²+18x + 9²= 64 + 81

x²+18x + 9²= 145  (simplify left side using the property (a+b)² = a²+ 2ab+b²)

(x+9)² = 145   (take square root of both sides)

x+9 = ±√145

x = -9±√145 (= 3.04 or -21.04)

Answer:

There are 134 marbles in each bag.

Step-by-step explanation:

536/4=134

Answer:536 divided by 4 equals 134 marbles in each bag

Step-by-step explanation:

a^2 + b^2 = c^2

65^2 + 34^2 = c^2

4225 + 1156 = c^2

5381 = c^2

c ≈ 73.3552997404

Hope this helps! ;)

Answer:

the answer is 1,208.74

Final answer:

The length of a 120° arc in a circle with an 18-kilometer diameter is approximately 18.85 kilometers.

Explanation:

The question asks to find the length of a 120° arc, given the diameter of a circle is 18 kilometers. To solve this, we first find the radius of the circle by dividing the diameter by 2, which gives us 9 kilometers.

Knowing the circumference formula is 2πr, we calculate the circumference as 2π(9) or 18π kilometers. Since 360° represents the full circumference, a 120° arc represents one-third of the circle.

Thus, the arc's length is one-third of the circumference: ⅓(18π) = 6π kilometers, which is approximately 18.85 kilometers.

Answer:

B? sorry if its wrong

Step-by-step explanation:

Answer:

The answer is not set c!

Step-by-step explanation:

Could I get more context about the question? If I had more numbers then I could solve it.

Answer:

  (3, 1)

Step-by-step explanation:

The orthocenter is the point where the altitudes meet. Since all three altitudes meet there, it is only necessary to look at two of them. A graph helps immensely.

In the attached graph, we notice that segment HJ is horizontal, so the x-coordinate of the orthocenter will be that of point I (x=3).

The segment IJ has a rise of 3 for a run of 1, so its perpendicular through point H will have a rise of 1 for a run of -3. That gets you to point (3, 1) from point H, so (3, 1) is the orthocenter.

Answer:

3

Step-by-step explanation:

Answer:

2x² − 5y² − xy

Step-by-step explanation:

 3x²-  4y²  + 5xy + 20

−

 x²  +   y²  + 6xy + 20

________________

2x² − 5y² − xy    + 0

Answer:

y=3x-13

Step-by-step explanation:

1) find slope

5--1/8-4=6/2=3

2) (y--1)=3(x-4)

y+1=3x-12

y=3x-13

The perimeter of a polygon is found by adding up the lengths of all its sides. The given polygon has a perimeter of 600,000 km. A side labeled 'mfi' would be 300,000 km.

To find the perimeter of a polygon, you add up the lengths of all its sides. In this case, the given sides of the polygon are 200,000 km, 100,000 km, and 300,000 km. So adding these together gives you a perimeter of 600,000 km for this polygon.

If you're asked to find the length of a missing side (e.g., the side labeled as 'mfi'), you can subtract the lengths of the known sides from the total perimeter. So, 600,000 km (total perimeter) - 100,000 km - 200,000 km = 300,000 km. Therefore, the length of 'mfi' is 300,000 km.

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The perimeter of the polygon shown is approximately 84.91 centimeters.

According to the given image

∠B = ∠D and AB = AD.

To find the perimeter,  break the polygon into smaller shapes and find the perimeters of those shapes.

Now, the Perimeter of triangle ABD is calculated in the following way:

AB = AD (given) = 6.5 cm

We can use the Pythagorean theorem on triangle ABD to find BD:

[tex]BD^2 = AB^2 - (\frac{1}{2} \times AD)^2\\BD^2 = 6.5^2 - (\frac{1}{2} \times 6.5)^2\\BD^2 = 25.5625\\BD \approx 5.05 cm[/tex]

So, the Perimeter of triangle ABD is

= AB + AD + BD  

[tex]\approx 6.5 cm + 6.5 cm + 5.05 cm \\ \approx 18.05 cm[/tex]

Again, the Perimeter of triangle ABC is

AC = BC + AB = 8.5 cm + 6.5 cm = 15 cm

As ∠ABC is a right angle and AC is the hypotenuse, use the Pythagorean theorem to find AB:

[tex]AB^2 + BC^2 = AC^2\\AB^2 + 8.5^2 = 15^2\\AB^2 = 81\\AB = 9 cm[/tex]

Perimeter of triangle ABC

= AB + BC + AC = 9 cm + 8.5 cm + 15 cm = 32.5 cm

Perimeter of triangle ADC:

Similar to triangle ABC,  find AD using the Pythagorean theorem:

[tex]AD^2 + DC^2 = AC^2\\AD^2 + 7.5^2 = 15^2\\AD^2 = 135\\AD = 3\sqrt{5} cm \approx 11.86 cm[/tex]

Perimeter of triangle ADC

= AD + DC + AC = 11.86 cm + 7.5 cm + 15 cm = 34.36 cm

Finally, to find the perimeter of the entire polygon, add the perimeters of the three triangles:

Perimeter of polygon = Perimeter of triangle ABD + Perimeter of triangle ABC + Perimeter of triangle ADC

Perimeter of polygon is

[tex]\approx 18.05 cm + 32.5 cm + 34.36 cm \approx 84.91 cm[/tex]

Therefore, the perimeter of the polygon is approximately 84.91 centimeters.

-5x(-7x^3)

Because -7x^3 is in parentheses, you add the degrees together:

35x^4

Answer:

1/2

Step-by-step explanation:

5/10, 5 is HALF of ten so 1/2

The value estimated for f ( -3 ) from the graph is 12.5

Step-by-step explanation:

The function (f) in the graph defines all point sets in plane as (x, f(x)) form. The graph of equation to be the graph of function. I.e. y = f (x). Hence, graph of f is if the special case for graph of equation.

Given x = - 3 and asked to find f (-3). So, we have to see the point of y mapped (meeting point of y) on the point x = -3. In the graph, the point marked on y straight away to x = - 3 is 12.5.

Answer: 12.5

Step-by-step explanation:

it is the same as the g (x) problem. we sub -3 for x and see what the y value is on graph. At -3, y = 12.5

Brainliest? :)

Answer:

the answer would be 5w-20 after distribution

Answer: 5w + (-20)

Step-by-step explanation: So let's simplify this problem using the distributive property. The first thing we want to do is change the minus to plus a negative.

Now we can distribute or multiply the 5 by each of the terms inside the set of parentheses.

So we get 5(w) + 5(-4) and this simplifies to 5w + (-20).

Answer:

x = 4 and y = 8

Step-by-step explanation:

Using the tangent and cosine ratios in the right triangle and the exact values

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{4\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

-------------------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] y = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 8

Answer:

[tex]y=\frac{3}{2}x +1[/tex]

Step-by-step explanation:

We are given;

The equation of a line;

[tex]y-4 = -\frac{2}{3}(x-6)[/tex]

We are required to determine the equation of a line perpendicular to the above line and passing through (-2, -2).

We need to know that the product of gradient of two parallel lines is -1

m₁× m₂ = -1

Thus;

m₂ = -1 ÷ -2/3

     = 3/2

Thus, the gradient is 3/2 and the line passes through (-2,-2)

Thus, to get its equation, we take another point (x,y)

We get;

[tex]\frac{y+2}{x+2}= \frac{3}{2}[/tex]

Then;

[tex]2(y+2)=3(x+2\\2y + 4 = 3x + 6[/tex]

Combining the like terms,

[tex]2y=3x+2[/tex]

In the form of slope-intercept;

[tex]y=\frac{3}{2}x +1[/tex]