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Anastaziya [24]
3 years ago
8

If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

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GalinKa [24]

Step-by-step explanation:

5/11 as a decimal is 0.45454545454545

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The mean is:
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A

Step-by-step explanation:

Because the mean has to describe

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3 years ago
A mother is 24 years older than her daughter.Before eight years she was seven times her daughter's age.Find their present ages​
Ne4ueva [31]

Answer:

Mother's Present Age = 36 years

Daughter's Present Age = 12 years

Step-by-step explanation:

Let present age of mother be "m" and present age of daughter be "d"

Mother is 24 years older than her daughter, so we can write:

m = 24 + d

8 years ago, Mother was 7 times old as daughter, that would be:

m - 8 = 7(d - 8)

Note, since 8 years ago, both "m" and "d" have 8 subtracted from it.

Now we substitute Equation 1 into Equation 2 and solve for d:

m - 8 = 7(d - 8)\\24+d - 8 = 7(d - 8)\\16+d=7d-56\\6d=72\\d=\frac{72}{6}\\d=12

Mother age, m, would be:

m = 24 + d

m = 24 + 12

m = 36

Hence,

Mother's Present Age = 36 years

Daughter's Present Age = 12 years

4 0
3 years ago
At the moment a hot iron rod is plunged into freezing water, the difference between the rod's and the
jonny [76]

Answer:

<h2>The function is</h2><h2>D(t) = 100 \times( \frac{40}{100} )^{t}</h2>

Step-by-step explanation:

At t = 0 the difference is 100 degree celsius.

After one second the temperature difference will be 100 - \frac{100\times60}{100} = 100(1 - \frac{60}{100} )

After two second, the difference will be 100(1 - \frac{60}{100} )(1 - \frac{60}{100} ) = 100(1 - \frac{60}{100} )^{2}

Hence, it can be written that,

D(t) = 100 \times(1 - \frac{60}{100} )^{t} = 100 \times( \frac{40}{100} )^{t}

5 0
4 years ago
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Need help with this please ​
antoniya [11.8K]

Answer:

These are kinda tuff  Mandi,  sooo remember what's below

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now fine one of the above functions that has the 3 things you are working with.   2 knowns, and 1 unknown

also we know that the angle at the right tip of the triangle is 90-59= 31°

we know that b/c the inside angles of a triangle always add to 180 and there is already a 90° so we only have 80 left, which the 59° is part of, so 31 is the other, now put that info into one of the above formulas

x= adjacent side

and we know the angle and hypotenuse side.    find the formula with those parts.  I see Cos  has those or CAH... to help remember how those fit

Cos(31) = x / 17

17*cos(31) = x

14.5718 = x

there is your answer,  understand how I got it? :)

4 0
3 years ago
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