Answer:
4.5 or 4 1/2 they are both the same
Step-by-step explanation:
simple math
Answer:
x = 12
Step-by-step explanation:
The triangles are similar so we can use ratios
4x+12 32
------- = ------------
15 8
Using cross products
(4x+12) *8 = 15 * 32
(4x+12) *8 = 480
Divide each side by 8
(4x+12) *8/8 = 480/8
4x+12 = 60
Subtract 12 from each side
4x+12 -12 = 60-12
4x = 48
Divide by 4
4x/4 = 48/4
x = 12
Answer:
The value of x is 84 and the remaining angles are: 76° and 86°
Step-by-step explanation:
Given three angles are
18
x-8
and
x+2
We have to find the angles and for that we have to find the value of x
As we know that the sum of internal angles of a triangle is 180°
So,
And the angles are:
x-8 = 84-8 = 76
x+2 = 84+2 = 86
Hence,
The value of x is 84 and the remaining angles are: 76° and 86°
Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
Answer: 24 lemons
Step-by-step explanation: Good luck! :D
8 lemons - 10 cups
16 lemons - 20 cups
24 lemons - 30 cups
