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statuscvo [17]
2 years ago
11

Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB

Mathematics
1 answer:
ioda2 years ago
5 0

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

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WARRIOR [948]
Honestly this makes no logical sense but you should take 43,118+6,549=49,667
6 0
3 years ago
If Steve's age is decreased by 12 years, and that difference is multiplied by 3, the result is 24 years. Find Steve's age.
kumpel [21]

Answer:

20 years old.

Step-by-step explanation:

Go backwards in the equation.

24/3 = 8

8+12

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8 0
3 years ago
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it
Rashid [163]

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

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<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

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7 0
2 years ago
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matrenka [14]

Answer:

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Step-by-step explanation:

The other notations a ratio \frac{a}{b} can be written in are a:b and a to b.

From what we are given, a = 1 and b = 3, so in the form a:b, the ration would be 1:3 and in the form a to b it would be 1 to 3.

6 0
2 years ago
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