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yarga [219]
3 years ago
10

Find the value of x. The diagram is not to scale

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:B-70

Step-by-step explanation:

from the figure, In \triangle ABC\ \text{and}\ \triangle ADE

\Rightarrow \dfrac{45}{45}=\dfrac{24}{24}\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}

\therefore \text{two triangles are similar}

Thus we can write

\Rightarrow \dfrac{35}{x}=\dfrac{45}{45+45}\\\\\Rightarrow x=35\times \dfrac{90}{45}=35\times 2=70

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zhannawk [14.2K]

Answer:

The temperature of the chemical solution after t hours is -14.96-2.9t\;^{\circ}C

Step-by-step explanation:

Given that the initial temperature of the chemical solution, T_0= -14.96^{\circ}C.

The rate of decreasing temperature, R = 2.9^{\circ}C/ hour

So, after t hours, the temperature of the chemical solution will decrease by Rt=2.9t^{\circ}C.

So, the temperature of the chemical solution after t hours,

T=T_0-Rt \\\\\Rightarrow T = -14.96-2.9t\;^{\circ}C

Hence, the temperature of the chemical solution after t hours is -14.96-2.9t^{\circ}C.

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2 years ago
Solve d = 4n - 2 for n
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The answer is n = d/4 + 1/2

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2 years ago
A math test has a total of 25 problems. Some problems are worth 2 points and some are worth 4 points. They add up to 60 points.
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Answer:

25.

Step-by-step explanation:

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Ken bought concert tickets for a group of people. The tickets cost $8.50 for adults and $5.00 for students. He bought 8 tickets
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ABC has coordinates of A (-8,-8), B (4,-2), and C (2,2). Find the coordinates of its image after a dilation centered at the orig
kumpel [21]

The coordinates of the image after dilation are

A (-12 , -12) , B (6 , -3) , C (3 , 3) ⇒ answer B

Step-by-step explanation:

A dilation is a transformation that produces an image that is the

same shape as the original, but in a different size

When you dilate a figure, with

  • The center of dilation is the origin
  • The scale factor of dilation is k

Then the coordinates of each point of the figure is multiplied by k

to find the image of the figure after dilation

∵ ABC has coordinates of A (-8 , -8), B (4 , -2), and C (2 , 2)

∵ ABC is dilated by scale factor 1.5

∵ The center of dilation is the origin

- Multiply the coordinates of points A, B, and C by 1.5

∴ The image of point A = (-8 × 1.5 , -8 × 1.5) = (-12 , -12)

∴ The image of point B = (4 × 1.5 , -2 × 1.5) = (-6 , -3)

∴ The image of point C = (2 × 1.5 , 2 × 1.5) = (3 , 3)

The coordinates of the image after dilation are

A (-12 , -12) , B (6 , -3) , C (3 , 3)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

#LearnwithBrainly

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