Answer:
y = 
Step-by-step explanation:
3x + 7y = 29 ( subtract 3x from both sides )
7y = 29 - 3x ( divide both sides by 7 )
y = 
Answer:
In triangle SHD and triangle STD.
[Side]
Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.
⇒ 
[leg] [Given]
Reflexive property states that the value is equal to itself.
[Leg] [Reflexive property]
HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.
then, by HL theorem;
Proved!
He will spend $36.00 on sports equipment.
Answer:
The ordered pair that satisfies the equation is (7, -1)
Step-by-step explanation:
In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.
3x + 3y = 18
(-) 2x + 3y = 11
--------------------
x = 7
Now that we have the value for x, we can plug in to either equation to find y.
2x + 3y = 11
2(7) + 3y = 11
14 + 3y = 11
3y = -3
y = -1
Answer:
The height of the kite from the ground is 13.617 feet
Step-by-step explanation:
Given as :
The measure of the string = 30 feet
The angle of elevation from the boy to his kite = 27°
Let the height of the kite from ground = H feet
So, From Triangle
Sin angle = 
Or, Sin 27° = 
or, H = 30 × Sin 27°
I.e H = 30 × 0.4539
∴ H = 13.617 feet
Hence the height of the kite from the ground is 13.617 feet Answer