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3 years ago

What is the value of x in trapezoid ABCD

Mathematics

2 answers:

Serjik [45]3 years ago

7 0

Answer:

x = 15

Step-by-step explanation:

9x + 3x = 180

12x = 180

x = 15

statuscvo [17]3 years ago

5 0

So the trapezoid has 2 parallel sides making segments AD and BC transversals

Therefore making angle c and angle b add up to 180

(180-3x) + 3x + 180-9x +9x

180 +12x = 360

180= 12x
x= 15

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Three numbers are in an arithmetic progression with a common difference of 6. if 4 is subtracted from the first number, 1 is sub

UkoKoshka [18]

Answer:

either of {-9.5, -3.5, 2.5} or {7, 13, 19}

Step-by-step explanation:

Let x represent the first number of the arithmetic sequence. Then the second number is x+6, and the third number is x+12. The geometric sequence is then ...

(x -4), (x +5), 3(x+9)

The common ratio is then ...

(x +5)/(x -4) = 3(x +9)/(x +5)

Cross-multiplying gives ...

(x +5)² = 3(x -4)(x +9)

x² +10x +25 = 3x² +15x -108 . . . . eliminate parentheses

0 = 2x² +5x -133 . . . . . . . . . . . . . . subtract the left side

0 = (2x +19)(x -7) . . . . . . . . . . . . . . factor

x = -9.5 . . or . . 7

The possible original three numbers are ...

{-9.5, -3.5, 2.5} . . or . . {7, 13, 19}

8 0

3 years ago

? M/S = 7.2 km/h ------ PLEASE HELP

Gre4nikov [31]

To go from km/h to M/S you have to multiply by 3,6 so this must be the answer:
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8 0

3 years ago

Mr. Thompson, a retiree, looks at his check register.

sukhopar [10]

As given,

Weekly rent of Mr. Thomson is = $104.92

Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?

Rent for 1 week = 104.92

Rent for 52 weeks = $104.92\times52$ = $5455.84

Part B: What was the average grocery expense in this time period?

Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56

Hence average grocery expense is = $\frac{33.45+28.56}{2}$

= $31 per week or $62.01 per month

Part C: Mr. Thompson estimates his yearly expense for groceries to be:

The monthly expense for groceries is = $62.01

So yearly expense will be = $62.01\times12$ = $744.12

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2 years ago

Write the expression using exponents.<br> 66•66•66 =

inn [45]

Your answer would be 66^3 meaning 66 to the power of 3

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3 years ago

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Is 4 over 6 greater or less than 12 over 12

weqwewe [10]

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2 years ago