The length (L), width (W), and the diagonal (D) of the television screen make a right triangle with the legs L and W and hypotenuse D. Thus, their measurements are related through Pythagorean Theorem.
L² + W² = D²
Substituting the known values from the given,
(15 in)² + W² = (25 in)²
Solving for W in the equation gives, W = 20 in and W = -20. The second value is an extraneous root. Thus, the width of the television screen is 20 inches.
Answer:
Therefore the length of AB is 15 unit.
Step-by-step explanation:
Given:
A ≡ ( -7 , 4 ) ≡ (x₁ , y₁)
B ≡ ( 8 , 4 ) ≡ (x₂ , y₂)
C ≡ ( 8 , -3 )
D ≡ ( -7 , -3 )
To Find:
Length of AB =?
Solution:
Distance Formula between two points is given as
Substituting the values we get
Therefore the length of AB is 15 unit.
1/3 times 1/5 equals 1/15. That is already simplified :).
Firstly, we need to find m<BCA
<BCA+<BCD=180°
m<BCD=111°
<BCA+111°=180°
m<BCA=69°
Secondly, we need to find y
The sum of all angles of triangle is equal to 180°, so
Now we can find m<B
m<B=(3y+6)°
y=15
m<B=3×15+6=51°
Answer: m<B=51°
D. Because the 3 is the rate and the 6 is what was already there.