Use factoring to write an expression that is equivalent to 28w - 40.
2 answers:
You might be interested in
Answer:
The width of the garden is 1.16 m
Step-by-step explanation:
step 1
<em>Find the area of the garden</em>
To find out the area of the garden multiply by 1/3 the area of the building
step 2
Find the length side of the square building
The area of a square is
where
b is the length side of the square
we have
so
step 3
Find the width of the garden
Let
x ----> the width of the garden
we know that
The area of the building plus the area of the garden is equal to
solve for x
Solve the quadratic equation by graphing
using a graphing tool
The solution is x=1.16 m
see the attached figure
therefore
The width of the garden is 1.16 m
Find the exact value
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
----> exact value
Answer:
The claim is correct
Explanation:
Assume the given triangle ABC
perimeter of triangle ABC = AB + BC + CA ............> I
Now, we have:
D is the midpoint of AB, this means that:
AD = DB = (1/2) AB ..........> 1
E is the midpoint of AC, this means that:
AE = EC = (1/2) AC ...........> 2
DE is the midsegment in triangle ABC, this means that:
DE = (1/2) BC ...........> 3
perimeter of triangle ADE = AD + DE + EA
Substitute in this equation with the corresponding lengths in 1,2 and 3:
perimeter of triangle ADE = (1/2) AB + (1/2) BC = (1/2) AC
perimeter of triangle ADE = (1/2)(AB+BC+AC) .........> II
From I and II, we can prove that:
perimeter of triangle ADE = (1/2) perimeter of triangle ABC
Which means that:
perimeter of midsegment triangle is half the perimeter of the original triangle.
Hope this helps :)
The claim is correct
Explanation:
Assume the given triangle ABC
perimeter of triangle ABC = AB + BC + CA ............> I
Now, we have:
D is the midpoint of AB, this means that:
AD = DB = (1/2) AB ..........> 1
E is the midpoint of AC, this means that:
AE = EC = (1/2) AC ...........> 2
DE is the midsegment in triangle ABC, this means that:
DE = (1/2) BC ...........> 3
perimeter of triangle ADE = AD + DE + EA
Substitute in this equation with the corresponding lengths in 1,2 and 3:
perimeter of triangle ADE = (1/2) AB + (1/2) BC = (1/2) AC
perimeter of triangle ADE = (1/2)(AB+BC+AC) .........> II
From I and II, we can prove that:
perimeter of triangle ADE = (1/2) perimeter of triangle ABC
Which means that:
perimeter of midsegment triangle is half the perimeter of the original triangle.
Hope this helps :)
You can see that the two angles (38° and 7) form a line or 180°. So, angle 7 and 38° must add to 180°. So, angle 7 is:
Your answer is 142°.
Your answer is 142°.