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2 years ago

ASAP!

Mathematics

1 answer:

ANTONII [103]2 years ago

3 0

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,

Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2

Since the common ratio of every side is equal to 2, the value of x can be written as,

Common Ratio = 20/x = 2

20/x = 2

x = 10

Hence, the value of x is 10. Thus, the correct option is B.

Learn more about Similar Figures:

brainly.com/question/11315705

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3 years ago

Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 i

zhannawk [14.2K]

Answer:

(a) $22$ (b) $109$

Step-by-step explanation:

GIVEN: Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row $18$ in an auditorium and notice that there are $73$ seats in your row. It appears the row in front of you has $70$ seats and the row behind you has $76$ seats. Suppose this pattern continues throughout the auditorium.

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SOLUTION:

total seats in $row_{19}=76$

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total seats in $row_{17}=70$

as it clearly form an A.P. with $d=76-73=3$

(a)

let total seat in first row be $a$

as total seats in $row_{18}=73$

$row_{18}=a+(n-1)d$

$73=a+17\times3$

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total seats in first row are $22$

(b)

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$x=row_{1}+(30-1)3$

$x=22+29\times3$

$x=109$

total seats in $30th$ row are $109$

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3 years ago

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