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Eva8 [605]
3 years ago
15

In the figure points A B C D and E are collinear. If AE = 38 and BD = 15

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

D. 30.5

Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

45/2 = BE

22.5 = BE

BE = 22.5

Find AB:

AB + BE = AE (segment addition postulate)

AB + 22.5 = 38 (Substitution)

AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

Find length of segment AD:

AB + BD = AD (segment addition postulate)

15.5 + 15 = AD (Substitution)

30.5 = AD

AD = 30.5

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Find the sum of the first 35 terms of the following series, to the nearest integer.<br> 3, 11, 19...
Tems11 [23]
<h3>Answer:   4865</h3>

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

Explanation:

The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one

  • 3+8 = 11
  • 11+8 = 19

etc. This means the common difference is d = 8.

The first term is a = 3

Let's use this formula

S = n*(2*a + d(n - 1) )/2

so we can find the sum of the first n terms. In this case, n = 35

So,

S = n*(2*a + d(n - 1) )/2

S = 35*(2*3 + 8(35 - 1) )/2

S = 35*(6 + 8(34))/2

S = 35*(6 + 272)/2

S = 35*(278)/2

S = 35*139

S = 4865

4 0
3 years ago
(HELP ASAP!!)
7nadin3 [17]

Answer:

1500

Step-by-step explanation:

24 month means 2 years ( N )

rate 15 pcpa ( R )

amount is 5000 ( P )

so by formula

interest = P×N×R/100

so ( I ) = 5000×2×15/100

so( I ) = 50×2×15 ....... ( here 100 ( 2 zero ) and 5000.( 2 zero ) got canceled

so ( I ) = 50×2×15

so ( I ) = 100×15

so ( I ) = 1500

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3 0
3 years ago
It’s not 3 but still need help with it
Leto [7]

Answer:

13

Step-by-step explanation:

5-(-8)=13

6 0
2 years ago
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4n² + 3n +5 and 2n²+3​
joja [24]

Answer:

6n^2+3n+8

Step-by-step explanation:

simplify like terms. keep the exponent the same degree it started as

6 0
2 years ago
4 1/3 - 1 2/3 how to solve this please
8_murik_8 [283]

Answer:

2\frac{2}{3}

Step-by-step explanation:

1) Convert 4\frac{1}{3} to improper fraction. Use this rule: a\frac{b}{c} =\frac{ac+b}{c}.

\frac{4\times3+1}{3} -1\frac{2}{3}

2) Simplify 4 * 3 to 12.

\frac{12+1}{3}

3) Simplify 12 + 1 to 13.

\frac{13}{3} -1\frac{2}{3}

4) Convert 1\frac{2}{3}   to improper fraction. Use this rule: a\frac{b}{c} =\frac{ac+b}{c}.

\frac{13}{3} -\frac{1\times3+2}{3}

5) Simplify 1 * 3 to 3.

\frac{13}{3} -\frac{3+2}{3}

6) Simplify 3 + 2 to 5.

\frac{13}{3} -\frac{5}{3}

7) Join the denominators.

\frac{13-5}{3}

8) Simplify.

\frac{8}{3}

9) Convert to mixed fraction.

2\frac{2}{3}

(Decimal Form: 2.666667)

Thank you,
Eddie

3 0
2 years ago
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