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Vsevolod [243]
3 years ago
6

How do I solve this problem ​

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0
C = 84 degrees

A = 2B
C = A + 20
A + B + C = 180

A = 2B
A/2 = B

A + (A/2) + (A+20) = 180
multiply each side by 2
2A + A + 2A + 40 = 360
combine like terms
5A + 40 = 360
subtract 40 from both sides
5A = 320
divide both sides by 5
A = 64

C = A + 20
C = 64 + 20
C = 84
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Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each.How m
kvasek [131]
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3 0
3 years ago
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
3 years ago
Margaret and Donovan are twins. They have each kept track of their heights every year since they were 5.
guapka [62]

Answer: Margret grew faster than donovan

Step-by-step explanation:

5 0
3 years ago
(Lots of points) (Dumb answers will be reported)
anzhelika [568]
Yes because by looking at the figure above i could say that the second option is correct
8 0
3 years ago
Read 2 more answers
34.321 greater than 34.3211
Rina8888 [55]

Answer:

It's not

Step-by-step explanation:

To know this, you have to put a zero to the right.

So it'd be 34.3210, and as you can see, 34.3211 is greater

7 0
2 years ago
Read 2 more answers
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