Answer: length of DE is about 3.3 ft
Step-by-step explanation: A calculator is necessary!
DE is the unknown hypotenuse of the triangle
get the sine of 23° = 0.3907311285
Use the equation for sine
<em>sin = o/h</em> .
To find h, Substitute values for sin and o. O is EC, Opposite the 23° angle D
<em>0.3907311285 = 1.3/h</em> multiply both sides by h
h(0.3907311285) = 1.3 divide both sides by 0.3907311285
h = 1.3/0.3907311285
3.327096065 = h, the length of the hypotenuse, DE.
If Im correct I believe the answer is the last one
No they are not square congruent because it goes 3 units down
Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = - 
Answer:
1 neither
2 supplementary
3 supplementary
Step-by-step explanation: