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2 years ago

14

One angle is 25 less than four times it's supplement. What is the measure of both angles?

1 answer:

Elenna [48]2 years ago

6 0

Let the first angle be x and the second be y.

Supplementary angles add up to 180, so:
x + y = 180

Also, as given in the statement:
x = 4y - 25

Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41

x = 4(41) - 25
x = 139

One angle is 139° and the other is 41°.

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The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to b

Vaselesa [24]

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

$2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29$

So,

length = x

width = y = $29-x$

The length is reduced by 7 feet and the width becomes half.

New length = $x-7$

New width = $\frac{1}{2}(29-x)$

New perimeter = 34 foot

$2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19$

So,

New length $=x-7=19-7=12\,\,foot$

New width = $\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot$

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

6 0

2 years ago

7/9 - 4/3w = -5/6 <br> what is w

borishaifa [10]

Answer:

w=1 5/24

Step-by-step explanation:

7/9-4/3w=-5/6

-4/3w=-5/6-7/9

-4/3w=-15/18-14/18

-4/3w=-29/18

w=-29/18:(-4/3)

w=29/18*(3/4)

w=29*3/18*4

w=29/6*4

w=29/24

w=1 5/24

4 0

2 years ago

What number divided by 3 give me five

bearhunter [10]

It is 15 because 5 times 3 is 15

7 0

2 years ago

Help evaluating the question

serg [7]

X=1 so it is 1×1×1=1 so.... it is 19+1

5 0

2 years ago

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Four times a number w minus 3.5 is less than or equal to -1.5

DIA [1.3K]

Answer:

This is your answer ☺️☺️

6 0

2 years ago