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Blababa [14]
3 years ago
12

What is the value of measure d?

Mathematics
1 answer:
natima [27]3 years ago
7 0
The answer is 62 degrees
You might be interested in
what is the first term of a geometric sequence in which the second term is 6 and the fourth term is 54
IRISSAK [1]
For a geometric sequence:
U_{n} = a * r^{n - 1}
U_{n} = the nth term, i.e. U₂ is the second term, U₃ is the third term, etc.
a = first term (U₁)
r = multiplier
n = number corresponding to the postion of the nth term in the sequence, e.g. for U₂, n = 2, for U₃, n = 3

According to the information:
U₂ = 6
U₄ = 54
So:
U_{2} = a * r^{(2) - 1} = 6 \\\\ a * r^{1} = 6 \\\\ ar = 6 \\
U_{4} = a * r^{(4) - 1} = 54 \\\\ a * r^{3} = 54 \\\\ ar^{3} = 54
Now, we have two equations in terms of a and r;
We can work out a by first working out r;
If we let the U₂ eq'n be [1] and the U₄ eq'n be [2];
Then, we do [2] ÷ [1] to cancel out the a and get an equation with only r that we are able to solve and then just solve it, like so:
\frac{ar^{3}}{ar} =  \frac{54}{6} \\\\ r^{2} = 9 \\\\ r = 3
Note: r has to be 3, and not -3, as the two given terms of the sequence tell us that the terms of the sequence will get bigger from each term to the next so r has to be above 1.

Now that we know r, we can sub it back into either [1] or [2] and solve for a, Its quicker and easier to sub it into [1] as we have no powers greater than 1 and we have smaller numbers to deal with (but you would get the same value of a either way), so:
U₂ = ar = 6
a(3) = 6
a = 6/3
a = 2
5 0
3 years ago
A student finds the sum of the angle measures in an octagon by multiplying 7 • 180°. What is the student's error?​
Lostsunrise [7]

The student should compute 6*180 = 1080 because of the formula

S = 180(n-2)

We have n = 8 sides which leads the n-2 part to become n-2 = 8-2 = 6

7 0
2 years ago
The measure of angle ABD is 105º. The measure of angle ABC is 75º.
MakcuM [25]

If we know that the WHOLE angle added is 105 and only part is 75 you need to subtract the whole angle and subtract from part of the whole angle.

105-75=30. You get 30 And that’s you answer!

Picture to help with your understanding.

5 0
3 years ago
2 good 2 be truee???? pls help
Kaylis [27]

Answer:

the correct answer is 23$

Step-by-step explanation:

15% off takes 15% of the whole price

hope this helps

4 0
3 years ago
1. Is -7+9=-9+7 true, false , or open?
Tju [1.3M]

1. false

2. idk

3. its C

4. idk

6 0
2 years ago
Read 2 more answers
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