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BartSMP [9]
4 years ago
13

5a-{3b-{4a-(5b-6a-7b)}]

Mathematics
1 answer:
saul85 [17]4 years ago
4 0
5a-[3b-\{4a-(5b-6a-7b)\}]\\\\=5a-[3b-\{4a-(-6a-2b)\}]\\\\=5a-[3b-\{4a+6a+2b\}]\\\\=5a-[3b-\{10a+2b\}]\\\\=5a-[3b-10a-2b]\\\\=5a-[b-10a]\\\\=5a-b+10a\\\\\boxed{=15a-b}
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How to find the area
sp2606 [1]
You know from trigonometry that AB = 15 units, so the area of the larger triangle ACB is (1/2)*15*15 = 112.5 units^2.

Then the area of triangle ADE is
.. (112.5 -62.5) = 50 . . . . units^2
7 0
3 years ago
A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine tho
Elodia [21]
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...

... w = 75 +2d

We want to find d when w > 125.

... 75 +2d > 125 . . . . . substitute the above expression for w

... 2d > 50 . . . . . . . . . subtract 75

... d > 25 . . . . . . . . . . . divide by 2

The animal will weigh more than 125 pounds when it is more than 25 days old.

4 0
3 years ago
In the diagram AB =AD and
Greeley [361]

Answer:

AC ≅ AE

Step-by-step explanation:

According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.

Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, <em>the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. </em>This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.

8 0
3 years ago
Round 3.73 to the nearest whole number
julsineya [31]
3.73 rounded to the nearest whole number would be 4
7 0
3 years ago
An elevator was stopped at the 18th floor. Penny got in and went 14 floors down and got off. What floor did she get off at?
Papessa [141]
If the elevator stopped at the 18th floor and she got in and went 14 floors down and got off, she got off on the 4th floor
5 0
3 years ago
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