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3 years ago

EFGH is an isosceles trapezoid. If EH=4x-27 and FG=x+9, find the value of x. PLEASE HELP ASAP!

Mathematics

1 answer:

djyliett [7]3 years ago

5 0

Answer:

If EFGH is an isosceles trapezoid,

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12 and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:

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harina [27]

Of course you need to know what "gross margin percentage" means. Roughly speaking it is the profit as a percentage of sale price. When a unit costs $1.00 and is sold at $2.50 the excess revenue is $1.50 Although we could express this profit margin as a FRACTION of the sale price, (so this would be 1.50/2.5 = 3/5), it is usual to state this as a PERCENTAGE. The gross margin percentage in the original case would be 100 * 3/5 = 60% Let cost price be c, sale price be s. Gross margin percentage g = 100* (s - c)/s Solving this for sale price s s = c/[1 - (g/100)] When unit cost increases $0.25 we have c = 1.25 so s = 1.25[1 - 0.6] = 1.25/0.4 = 3.1 Action needed to maintain the gross margin percentage is to increase selling price to $3.10

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3 years ago

A hardware supplier manufacturers 3 kinds of clamps types AB &c production restrictions force it to make 10 more type C clam

hichkok12 [17]

Answer:

Hardware supplier will manufacture 60 Type A clamps, 180 Type B clamps and 150 Type C clamps.

Step-by-step explanation:

Given:

Company produces 3 types of clamp

Type A

Type B

Type C

production restrictions force it to make 10 more type C clamps in the total of the other types

Hence We can say that Clamp C is equal to sum of Clamp A and Clamp and 10

framing in equation form we get;

$C=A+B+10 \ \ \ \ \ equation \ 1$

Also Given:

3 times as many Type B clamps as type A clamps

Hence we can say that Clamp B is equal to thrice of Clamp A.

$B=3A \ \ \ \ equation\ 2$

Also Given

Total Number of Clamps = 490

Hence Total Number of Clamps is equal to sum of number of Clamps of Type A, Type B and Type C.

Framing in equation form we get;

$A+B+C =490 \ \ \ \ equation \ 3$

Substituting the equation 1 and Equation 2 in equation 3 we get

$A+B+C=490\\\\A+3A+A+B+10=490\\\\A+3A+A+3A+10=490\\\\8A = 490-10\\\\8A=480\\\\A=\frac{480}{8}=60$

Now Substituting the Value of A in equation 2 we get;

$B=3A = 3\times60 =180$

Now Substituting the values of A and B in equation 1 we get:

$C=A+B+10 = 60+180+10= 250$

Now checking the same we get;

$A+B+C=490\\60+180+250=490\\490=490$

Hence the Hardware supplier will manufacture 60 Type A clamps, 180 Type B clamps and 150 Type C clamps.

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3 years ago

LAST QUESTION I NEED! Should be easy (I don’t think the answer is 4 might be wrong if given an explanation)

mina [271]

Answer:

Step-by-step explanation:

because 2 square is 4 then that was needed for the other squares but this one is doubled

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3 years ago

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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

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3 years ago

The sum of a 2-digit number and the 2-digit number when the digits are reversed is 77. If the difference of the same two numbers

Sliva [168]

Answer:

Number is 61 or 16

Step-by-step explanation:

Let x be the digit at tens place and y be the digit at ones place.

So, the two digit number is 10x+y.

When the digits are reversed, number becomes 10y+x

According to question, the sum of a 2-digit number and the 2-digit number when the digits are reversed is 77

10x+y+10y+x=77

11x+11y=77

x+y=7 (i)

Also, difference of the same two numbers is 45

(10x+y)-(10y+x)=45 or (10y+x)-(10x+y)=45

x-y=5 (ii) or y-x=5 (iii)

Consider equations (i) and (ii)

Put x=y+5 in x+y=7

y+5+y=7

2y=2

y=1

So, x=y+5=1+5=6

So, number = 10x+y=10(6)+1=61

Consider equations (ii) and (iii)

Put y=x+5 in x+y=7

x+5+x=7

2x=2

x=1

So, y=x+5=1+5=6

So, number = 10(1)=6=16

Therefore, number is 61 or 16

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3 years ago