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german
1 year ago
8

Consider the following figure:

Mathematics
1 answer:
motikmotik1 year ago
5 0

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

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A parachutist's rate during a free fall reaches 198 feet per second. What is this rate in meters per second? At this rate, how m
amm1812

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

3 0
3 years ago
Solve for x for brainiest
saul85 [17]
Lovee the nails!!!


my guess is x=28

hope this helps!!! :))
7 0
2 years ago
Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

3 0
2 years ago
If anyone knows the answer to these can u please help? thank you! :)
Dennis_Churaev [7]

Answers:

  • A) Ray QS or Ray QR
  • B)  Line segment QS or SQ
  • C)  Plane QSR
  • D)  Line QS or RQ

=======================================================

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

  1. Line QR
  2. Line QS
  3. Line RQ
  4. Line RS
  5. Line SQ
  6. Line SR
4 0
2 years ago
Please help!!! And please be accurate!!! Thank you!!
dem82 [27]

Answer:

BCDA is equivalent to FGHE

A is equivalent to angle E

B is equivalent to angle F

C is equivalent to angle G

D is equivalent to angle H

Step-by-step explanation:

1st step is just figuring out which sides corresponds with which.

A is equivalent to angle E

B is equivalent to angle F

C is equivalent to angle G

D is equivalent to angle H

On the last one I am confused by what it is asking, but here is what I think:

The scale factor from the big figure to the small figure is 1.5 because of 15/10=1.5

12/8=1.5 and so on.

3 0
9 months ago
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