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Soloha48 [4]
2 years ago
13

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool

Mathematics
1 answer:
vladimir1956 [14]2 years ago
3 0

Answer:

shsudhjjejekbdjdidvdubdj

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Prove that ΔABC and ΔEDC are similar.
Lesechka [4]

Answer:

∠DCE is congruent to ∠CBA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.

Step-by-step explanation:

5 0
3 years ago
8 cm<br> 5 cm<br> find the perimeter
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Perimeter- add all sides together
8+8+5+5
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2 years ago
21. What is the value of x if 5:(3x+2) = 7:(5x-2).<br>A. 6<br>B. 5<br>C.7.​
KatRina [158]

Answer:

5/(3x+2) = 7/(5x-2)

<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)

<=> 25x -10 = 21x +14   (x is not equal to -3/2 or 2/5)

<=> 4x = 24                   (x is not equal to -3/2 or 2/5)

<=> x = 6 (valid)

6 0
3 years ago
Given: ∠AOC, ∠BOC - complementary angles
34kurt

Answer:

  • 30
  • COB . . . . or . . . . BOC

Step-by-step explanation:

The reason given on the line of interest is "substitution," so the problem boils down to determining what was substituted for what. The previous statement says ...

  AOC + COB = 90

and the first part of the statement we're to complete has BOC + ___.

We see from the given statements that m∠AOC = m∠BOC + 30°, so it appears that is the substitution that has been made: AOC has been replaced by BOC + 30.

This means the first blank is filled with 30.

__

The second part of the previous statement is ...

  AOC + COB = 90

so we believe this (COB) should go in the second blank.

__

Then the line of interest would read ...

  BOC + 30 + COB = 90

_____

<em>Comment on the problem</em>

There is a curious mix of notations here. Usually, (as in the beginning of this problem) we refer to the measure of an angle using "m∠" in front of the angle designator, and we use a degree symbol to indicate the units of that measure. Part-way through the problem statement written here, those notations were dropped, and we're to assume they are intended. IMO, this is a poor way to demonstrate careful problem solving.

The substitution given for AOC is BOC+30, but the line into which that is substituted has AOC +COB = 90. This means the equation after substitution is ...

  BOC +30 +COB = 90

Since BOC and COB are the same angle, we can sort of fudge the "algebra" to get to  BOC=30, but if the problem were more carefully written, the angle would be referred to by consistent nomenclature:

  m∠AOC + m∠BOC = 90° . . . . . . . . . preferred angle designations

  (m∠BOC + 30°) + m∠BOC = 90° . . . . substitution for m∠AOC

  2(m∠BOC) = 60° . . . . . . algebra (subtract 30°, collect terms)

  m∠BOC = 30° . . . . . . . . algebra (divide by 2)

3 0
2 years ago
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