Answer:
5 / 28
Step-by-step explanation:
5/7 ÷ 20/5
= 5/7 x 5/20
= (5 x 5) / (7 x 20)
= 25 / 140 (divide numerator and denominator by 5)
= 5 / 28
Answer:
8
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle.
let the other 2 sides be x and x - 3 , then
12 + x + x - 3 = 31
2x + 9 = 31 ( subtract 9 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11 and x - 3 = 11 - 3 = 8
The 3 sides are 12, 11, 8
with shortest side 8
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
<h3>How to Apply the Linear Angles Theorem?</h3>
Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
Learn more about the linear angles theorem on:
brainly.com/question/5598970
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Volume is legnth times width times height so 3 dimentions
thee teacher probabl y wants you to factor the trinomial into 3 factors so
x^3+5x^2-24x
first factor out x
x(x^2+5x-24)
then factor
find what 2 numbers multiply to get -24 and add to get 5
the numbers are -3 and 8
x^2+5x-24 factors to
(x-3)(x+8)
the factored form is
(x)(x-3)(x+8)=volume
no dimention can be ≤0 so therefor
x≤0
x-3≤0
add 3
x≤3
x+8≤0
subtract 8
x≤-8
so the values for x is x<3
so if you had the volume, let's say 42 then
x^3+5x^2-24x=42
subtract 42 from both sides
x^3+5x^2-24x-42=0
factor and set each to zero to find the dimentions
9/4
well, 4 times 2 is 8, there would be a quarter left over
answer: 2 1/4
so it would be 2 and a quarter.
Hope this helped :)
