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zhannawk [14.2K]

3 years ago

12

A rectangular photo frame covers an area of 20 square inches on a wall. The width of the frame is 1 inch less than its length. F

ind the length and width of the photo frame.

1 answer:

Salsk061 [2.6K]3 years ago

7 0

You need to find two factors of 20 that are consecutive: 4,5.
Answer: 5inx4in

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The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each

mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

This means that we can algebraically solve the equation $n + 3n + 3 + 2n + 11 = 50$

Step 1: Combine like terms.

$(n+3n+2n) + (3+11) = 50$
$6n + 14 = 50$

Step 2: Subtract 14 from both sides.

$6n + 14 - 14 = 50 - 14$
$6n = 36$

Step 3: Divide both sides by 6.

$6n/6 = 36/6$
$n = 6$

Step 4: Plug in the value of n as 6 in each side.

$(6) + (3(6) + 3) + (2(6)+11) = 50$
$(6) + (18+3) + (12+11) = 50$
$(6) + (21) + (23) = 50$

Therefore, the side lengths are 6, 21, and 23 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago

HELP PLEASE FOR 35 POINTS!!!! Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared,

denis23 [38]

Answer:

$x=-3$

Step-by-step explanation:

So, we are given:

$\frac{3}{x}=\frac{4x+3}{x^2}$

First, we should immediately rule out 0 as an answer. This is because the if $x=0$ , the equation would be undefined.

$x\neq 0$

Now, cross multiply.

$3(x^2)=x(4x+3)$

$3x^2=4x^2+3x$

Divide everything by x (and we can do this safely because we already know x cannot be equal to zero).

$3x=4x+3$

$-x=3$

$x=-3$

We didn't run into any possibilities for extraneous solutions.

7 0

3 years ago

PLZ ANYONE help me PLZHELP ME ITS DUE RIGHT NOW

Effectus [21]

AH and GB are congruent

4 0

2 years ago

Read 2 more answers

Help me pleasee asap !!

Alik [6]

Answer:

F = 110°

I'm not sure, but since no one answered, here it goes...

Step-by-step explanation:

∵ FD = FE (Given in Diagram)

∴ ΔDFE is isosceles , ∴m∠E = m∠D

1 ) 3x + 14 = 5x

14 = 5x - 3x

14 = 2x

14 / 2 = x

7 = x

m∠E = 3*7 + 14 = 35°

m∠D = 5*7 = 35°

m∠F = 180 - (35+35)

m∠F = 110°

3 0

2 years ago

The ages of 8 different students in a college math class were used to make the box plot shown above. Which of the following

notsponge [240]

Answer:

Range is 8

Step-by-step explanation:

To find range you need to subtract the largest number with the smallest. The largest is 28 and the smallest is 20.

28-20=8

8 0

2 years ago