Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.

Answer:

Sale price:  $722.50

Step-by-step explanation:

Subtract 15% from 100%, obtaining 85%.  The computer is sold for 85% off.

Converting this 85% to a mixed decimal, we get 0.85, and then we multiply the original price ($850) by this 0.85:  0.85($850) = $722.50

The missing step in the given proof is ∠DEB ≅ ∠ACE

From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.

Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.

Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.

Read more about Similar Triangles at; https://brainly.com/question/8691470

#SPJ1

Answer:

The answer is (2,-2)

Answer:

75%

Step-by-step explanation:

Take 9/12 and multiply it by 100 and you get the percentage of the turtles that are green.

The square root parent function is translated so that the endpoint is located at (-7,1) is [tex]\rm g(x) = \sqrt{x + 7} + 1[/tex] and this can be determined by using the transformation.

Given :

The square root parent function is translated so that the endpoint is located at (-7,1).

The following steps can be used to determine the equation that represents this new function:

Step 1 - Write the square root parent function.

[tex]\rm f(x) = \sqrt{x}[/tex]

Step 2 - The graph of the above function is translated by a factor of 7 in the negative x-axis that is in the left direction.

Step 3 - Then the graph obtained in the above step is translated by a factor of 1 in the positive y-axis that is in the upward direction.

Step 4 - Write the equation of the function that obtains in step 3.

[tex]\rm g(x) = \sqrt{x + 7} + 1[/tex]

For more information, refer to the link given below:

https://brainly.com/question/12465796

Answer:

x = sqrt(37)/2 - 3/2

approximately 1.54

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 + 12 x = 28

Divide both sides by 4:

x^2 + 3 x = 7

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = 37/4

Write the left hand side as a square:

(x + 3/2)^2 = 37/4

Take the square root of both sides:

x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

Answer: |

| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2

Answer:

2*7=8*10

Step-by-step explanation:

Because x=2,y=7 and x=8,y=10

So x*y=x*y

Answer:

x = 11.1

Step-by-step explanation:

3.75x - 1.5 = 40

3.75x = 40 + 1.5

3.75x = 41.5

x = 41.5/3.75

x = 11.07

Rounded to nearest tenth: 11.1

Answer:

11.1

Step-by-step explanation:

3.75x - 1.5 = 40

+1.5 +1.5

3.75x/3.75 = 41.5/3.75

1x=11.1

x= 11.1

Answer:

130°

Step-by-step explanation:

1. 59 + 71 (We do this because we want to find out their total to help us find out what the angle next to x is)

2. This should have given you 130°. Then, we will subtract 130 from 180 (180-130) (We do this because angles in a triangle add up to 180, so we want to find out what the single angle is).

3. This should have given you 50°. Since we know that angles on a straight line add up to 180°, we subtract 50 from 180 (180-50), and will eventually end up with 130°, so x=130°.

Let's look at the image and think about it for a second. We are given an exterior angle, and two opposite interior angles.

The sum of all angles in a triangle are equal to 180˚. If we look at angle ∠x , we notice something: it is a supplementary angle! ∠x + its supplementary angle is equivalent to 180. Conveniently enough, this supplementary angle is also an interior angle of the triangle.

You might be thinking, "Okay, so ∠x is a supplementary angle. Cool, so what?" Allow me to explain. Let's represent the unknown interior angle inside the triangle as 'n' (this isn't necessary to solve for x, but I'm just trying to prove how the solution works so you'll understand how to do these)

∠x + ∠n = 180˚ (These angles are supplementary)

∠n + 59˚ + 71˚ = 180˚ (The sum of interior angles of a triangle is 180˚)

If we isolate ∠n in both equations, then:

∠n = 180˚ - ∠x

∠n = 180˚ - 59˚ - 71˚

Since the right sides of both equations are equal, we can turn it into a single equation:

∠n = ∠n

180˚ - ∠x = 180˚ - 59˚ - 71˚

Isolate ∠x:

∠x = 59˚ + 71˚

So, what does this mean? This proof, essentially, establishes the fact that an exterior angle is equivalent to the sum of the two opposite interior angles. As you can see with the proof we made, ∠x is equal to the two opposite angles in the triangle, 59˚ and 71˚.

Now, let's get ourselves a definitive answer:

∠x = (59˚ + 71˚)

∠x = 130˚

If you have any further questions on how I got to the answer, just ask in the comments! Good luck!

- breezyツ

Answer:

Number D, its logistics

Answer:

8.45

Step-by-step explanation:

Doubling a number is the same as multiplying by 2, so to go back to the original number you divide 16.9 by 2

If I remember correctly, the solutions are only on the solid line or in the shaded area? therefore Answers could be:

6.) (-3,0.5) (-4,0) (-2,0) (-2,-5) (-3,-5) (-4,-1) (-3,-1) (-2,-1)

7.) (-1,0) (-2,0) (-3,0) (0,-1) (-4,-1)

Answer:

intégration d'Matthieu à la soirée d'Maya

Step-by-step explanation:

t'inquiète, je gère, j'lui parle sur Insta' , vous êtes drôle avec votre iguane en plastique. c'est gentil, merci. j'ai un peu envie d'te revoir, c'est étrange, moi aussi tu viens chez Emeric ce soir, j'y serai, c'est promis!

Answer:

B is the answer

Step-by-step explanation:

[tex]f(x).?g(x).dx[/tex] + [tex]?(f?(x).?g(x).dx).dx[/tex] = [tex]?f(x).g(x).dx[/tex]

Hoped this helped.

The integral expression of the form ∫ f(x) · dg is equal to the composite expression f(x) · g(x) - ∫ g(x) df by applying integration by parts method. (Correct choice: A)

In this question we must derive a integration rule for the product of two functions that are integrable. The integration by parts method is inspired on the differentiation rule for the product of two differentiable functions, whose definition is shown below:

[tex]\frac{d}{dx} [f(x)\cdot g(x)] = f'(x) \cdot g(x) + f(x)\cdot g'(x)[/tex]    (1)

If we integrate and used integral Calculus theorem on both sides of (1), then we have the following expression:

f(x) · g(x) = ∫ g(x) · df + ∫ f(x) · dg

∫ f(x) · dg = f(x) · g(x) - ∫ g(x) df    

Therefore, the integral expression of the form ∫ f(x) · dg is equal to the composite expression f(x) · g(x) - ∫ g(x) df by applying integration by parts method. (Correct choice: A)

To learn more on integration by parts, we kindly invite to check this verified question: https://brainly.com/question/14402892

Answer:

8 blocks

Step-by-step explanation:

As the north direction is upwards and the south direction is downwards the total distance between the two people 's (Megan and Jake)  houses will be obtained by adding their distances from the library which is in the middle as shown in the diagram.

Hence total distance between the two houses= 3.5 + 4.5= 8 blocks

Jake and Meagan live 8 blocks apart.

Answer:

2×3.14×4.4

27.62 is the answer

Answer:

cos 29 = x / 11

11 * cos 29 = x

x =  11 * 0.87462

x = 9.62082

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

112+64

=112+64

=176

Answer:

(-3, 2)

Step-by-step explanation:

Since you are reflecting over the y-axis (the vertical axis), you are flipping the figure over to the left. As a result, you are going over to -3 and up to 2

Answer:

A' is at (-3, 2)

Step-by-step explanation:

point stays 3 units away from the x-axis and 2 units above the y-axis

Answer: the answer is A

Step-by-step explanation:

Given:

A rectangle has dimensions 8ft x 12ft.

After dilatation the new dimensions of 32 ft x 48 ft.

To find:

The scale factor of the dilation.

Solution:

We know that,

[tex]\text{Scale factor}=\dfrac{\text{Side length of new figure}}{\text{Corresponding side length of original figure}}[/tex]

Dimensions of original rectangle are 8ft x 12ft and dimensions of the new rectangle are  32 ft x 48 ft.  Corresponding side of 8ft is 32 ft and corresponding side of 12 ft is 48 ft.

[tex]\text{Scale factor}=\dfrac{32}{8}[/tex]

[tex]\text{Scale factor}=4[/tex]

Therefore, the scale factor is 4.

Step-by-step explanation:

Question 2:

y + 3 = 10

Solution:

Given,y + 3 = 10

By subtracting 3 from both sides, we get

y + 3 – 3 = 10 – 3

⇒ y = 10 – 3

⇒ y = 7

Question 3:

6 = z + 2

Solution:

Given,6 = z + 2

By substractin

only an example

Answer:

Step-by-step explanation:

[tex]\frac{1}{3}(x + 3 ) - 2(x - 5) = 4\frac{1}{3}\\\\\frac{1}{3}x + \frac{1}{3}*3 + x*(-2) - 5*(-2) = \frac{13}{3}\\\\\frac{1}{3}x + 1 - 2x + 10 =\frac{13}{3}\\\\\frac{1}{3}x -2x + 1 + 10 =\frac{13}{3}\\\\\frac{1}{3}x - \frac{2*3}{1*3}x + 11 = \frac{13}{3}\\\\\frac{1}{3}x-\frac{6}{3}x =\frac{13}{3}-11\\\\\frac{1-6}{3}x=\frac{13}{3}-\frac{11*3}{1*3}\\\\\frac{-5}{3}x=\frac{13-33}{3}\\\\\frac{-5}{3}x=\frac{-20}{3}\\\\x=\frac{-20}{3}*\frac{3}{-5}\\\\x=4[/tex]

Answer:

hb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle G is ACUTE (answer d) because it's between 0 and 90 degrees.

1:2=3:x

1/2=3/x

1×x=3×2

x=6

Answer:

600 and 3

Step-by-step explanation:

Answer:

181 inches

Step-by-step explanation:

A rectangle has a length of 11 inches less than 8 times its width. If the area of the rectangle is 4344 square inches, find the length of the rectangle.

The formula for Area of a rectangle = Length × Width = L × W

A rectangle has a length of 11 inches less than 8 times its width.

L = 8W - 11

A = 4344

Hence,

4344 = (8W - 11)W

4344 = 8W² - 11W

Hence:.8W² - 11W - 4344

We factorise

(8W+181)(W−24)

W - 24 = 0

W = 24 inches

Solving for Length

L = 8W - 11

L = 8 × 24 - 11

L = 181 inches

Answer:

C

Step-by-step explanation:

Find the 3rd angle of the bigger triangle:

180 - 49 - 55 = 76 degrees

*The inside angles of the small and large triangles are the same.

Find the unknown angle of the small triangle:

180 - 35 - 76* = 69 degrees

Like and mark brainliest if this helped

Like and mark brainliest if this helped

Answer:

im not sure if this is right lol but i got 31.18

Step-by-step explanation:

i used cross mutliplication, 35 over x is equal to 55 over 49. then i mutliplied 55 and x which is 55x. then i multiplied 35 and 49, which is 1715. i did 1715 divided by 55 to get rid of x and i got 31.18. hope this helps lol