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2 years ago

the sum of three consecutive even numbers is 78. what is the first number ? a (24) b (26) c (28) d (30)

Mathematics

1 answer:

bagirrra123 [75]2 years ago

3 0

Answer:

Step-by-step explanation:

24 + 26 + 28 = 78

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233/285*100

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2 years ago

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Calculate pqrst in the diagram above showing your solutions

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Answer:

a. p = 6

b. q = 4

c. r = 8

d. s = 10; t = 8.3

Step-by-step explanation:

1. a. The side length of two similar triangles are proportional, therefore:

$\frac{9}{p} = \frac{15}{10}$

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$15*p = 10*9$

$15*p = 90$

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p = 6

b. Based on the midsegment theorem,

$q = \frac{1}{2}(8)$

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c. The side length of two similar triangles are proportional, therefore:

$\frac{4}{10} = \frac{r}{20}$

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$\frac{4}{10} \times 20 = \frac{r}{20} \times 20$

$\frac{80}{10} = r$

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d. The side length of two similar triangles are proportional, therefore:

$\frac{9 + 6}{9} = \frac{s}{6}$

$\frac{15}{9} = \frac{s}{6}$

Multiply both sides by 6

$\frac{15}{9} \times 6 = \frac{s}{6} \times 6$

$\frac{15 \times 6}{9} = s$

s = 10

$\frac{9 + 6}{9} = \frac{t}{5}$

$\frac{15}{9} = \frac{t}{5}$

Multiply both sides by 5

$\frac{15}{9} \times 5 = \frac{t}{5} \times 5$

$\frac{15 \times 5}{9} = t$

t = 8.3 (nearest tenth)

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2 years ago

the sum of three consecutive even numbers is 78. what is the first number ? a (24) b (26) c (28) d (30)​

the sum of three consecutive even numbers is 78. what is the first number ? a (24) b (26) c (28) d (30)