9514 1404 393
Answer:
32.9
Step-by-step explanation:
The ratio of long side to hypotenuse is the same for all of the triangles in the figure.
AD/AB = AB/AC
AB^2 = AD·AC = 30·36
AB = 6√30 ≈ 32.863
To the nearest tenth, AB ≈ 32.9.
the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
Answer:
25%
Step-by-step explanation:
First find the difference in price= $8-$6 = $2
Now, find percentage decrease in the price of sandwich.
Percentage decrease= (difference in price/ original price) *100
= 
*100
=
Percentage decrease=25%
Answer:
10.5
Step-by-step explanation:
42/4 can be reduced by dividing numerator and denominator by 2: 21/2.
This is an improper fraction. One way to obtain the equivalent mixed number would be to multiply numerator and denominator of 21/2 by 5, obtaining 105/10, which reuces to 10.5.
We could also divide 42 by 4 in the usual way, obtaining 10.5.
