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mojhsa [17]
3 years ago
5

Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing stateme

nt (if any) that is a part of your proof or related to it.
Given: ∠CDE ≅ ∠CED, ∠A ≅ ∠B, Prove: DE ∥ AB

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both

Step-by-step explanation:

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Which of these triangle pairs can be mapped to each other using a single reflection?​
kondor19780726 [428]

Answer:

Second triangle pair

Step-by-step explanation:

In a reflection, the shape is flipped. In the first pair, the corresponding sides as shown by the lines, and the corresponding angle are already in the same position. In the second pair, Δ MLN can be reflected so that line LN match with EG and line LM matches with line EF. ∠L and ∠E will also be mapped to each other when one triangle is reflected.

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n200080 [17]

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Step-by-step explanation:

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6 0
3 years ago
Let's test your knowledge!!!
Blababa [14]
It would be 1

pemdas
(p) 1+2 = 3
(m) 2(3) = 6
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5 0
2 years ago
Read 2 more answers
A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt per liter enters a tank at the
Andreyy89

Answer:

Step-by-step explanation:

concentration = amount of salt/solution

A) Initial concentration= 90/1000 = 0.09

Q = quantity of salt

Q(0) = 90 kg

Inflow rate = 8 l/min

Outflow rate = 8 l/min

Solution = 1000 L at any time t.

Salt inflow = 0.045 * 8 per minute

= 0.36 kg per minute

This is mixed and drains from the tank.

Outflow = \frac{Q(t)}{1000}

Thus rate of change of salt

Q'(t) = inflow - outflow = 0.36-\frac{Q(t)}{1000} \\=\frac{360-Q(t)}{1000}

Separate the variables and integrate

\frac{1000dQ}{360-q(t)} =dt\\-1000 ln |360-Q(t)| = t+C\\ln |360-Q(t)| = -0.001+C'\\360-Q(t) = Ae^{-0.001t} \\Q(t) = 360-Ae^{-0.001t}

Use the fact that Q(0) = 90

90 = 360-A

A = 270

So

Q(t) = 360-270e^{-0.001t}

B) Q(t) = 360-270e^-0.004  = 91.07784

C) When t approaches infinity, we get

Q(t) tends to 360

So concentration =360/1000 = 0.36

8 0
3 years ago
A group of students must collect at least $150 to organize a science fair. They have already collected $30. Which graph best rep
nikdorinn [45]
Number line graph with closed circle on 120 and shading to the right.

Since they need $150 in total and they already have $30 that means they need $120 or more to complete their $150. That means x = the amount of money they still need has to be greater than or equal to $120. The equation should be x >/= $120. Since a close circle means greater than or equal to and it matches that equation it means it that one. Also the circle has to be on 120 because it that the starting point of the amount they still need. And since they can get 120 or more it points to the right side.
3 0
2 years ago
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