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eduard
3 years ago
6

Need help asap please comment please

Mathematics
2 answers:
Kazeer [188]3 years ago
7 0

Answer:

< A=72°

<C=72°

Step-by-step explanation:

Solve 5y-3=3y+27

kakasveta [241]3 years ago
4 0

Answer:

Step-by-step explanation:

first, since all of the sides are equal, the angles are equal too. in order to find the missing variable, y, we need to make the two equations equal to each other.

5y - 3 = 3y + 27

then, we solve this one. first, we move the terms.

5y - 3y = 27 + 3

then, we collect the like terms.

2y = 30

so, y = 15.

now, we can insert 15 in for y on angle a.

5(15) - 3

that calculates to 72. so, the measurement for angle A is 72 degrees.

now we need to find angle B. we know that there are 360 degrees inside of a parallelogram. so, we subtract 144 from the 360. (since both given angles are the same, they add up to 144. we subtract that from the total, in order to find the other angles.)

360 - 144 = 216

then, we divide 216 by 2, in order to find the two separate angles.

216 / 2 = 108. so, the measurement for angle B is 108 degrees.

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Davey built a bookshelf 36 in. long. Can the shelf hold a set of encyclopedias if there are 24 books and each book averages 5/4
grin007 [14]
Yes, the 36" shelf can hold all 24 books.  As 5/4=1.25" meaning, you take 1.25X24=30".  So 24 books only take up 30 inches of a 36 inch shelf.

5 0
3 years ago
1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0
3 years ago
What’s the equation of a line passing through the two points (-3,3) and (0,-1)
kirill [66]

Answer:

y = -4/3x - 1

Step-by-step explanation:

3 0
3 years ago
Pick correct graph from multiple choice options. A. C. B. D.
irina1246 [14]

Answer:

Step-by-step explanation:

x = 2 is the equation of a vertical line passing through x = 2.  This is shown in the lower left graph:  a solid vertical line 2 units to the right of the y-axis.

7 0
3 years ago
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15% of the seats on an airplane are first class if there are 24 class seats how many seats are on the plane ​
Andrej [43]

Answer:

160

Step-by-step explanation:

there are 24 first class seats. 15% of the total number is 24. that would mean 5% of the total number is 8. 20 times 8 is 160.

6 0
3 years ago
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