Answer:
156 [in²].
Step-by-step explanation:
1) total area consists of six parts (all the details are in the attachment):
A=2A₁+2A₂+A₃+A₄;
2) according to the formula above:
A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].
Answer:
one solution (-3, -6)
Step-by-step explanation:
the two line cross at the point (-3, -6) and only at that one point so there is only one solution (-3, -6).
The angle m∠AFE is 128 degrees.
<h3>How to find angles?</h3>
∠AFB ≅ ∠EFD
∠EFD = 5x + 6
m∠DFC = (19x - 15)°
m∠EFC = (17x + 19)°
m∠AFE = ?
m∠AFB + m ∠EFD + m∠AFE = 180
Therefore,
5x + 6 + 5x + 6 + m∠AFE = 180
5x + 5x + 6 + 6 + m∠AFE = 180
10x + 12 + m∠AFE = 180
10x + m∠AFE = 180 - 12
10x + m∠AFE = 168
m∠AFE = 168 - 10x
m∠EFC = m ∠EFD + m∠DFC
17x + 19 = 5x + 6 + 19x - 15
17x - 5x - 19x = 6 - 15 - 19
-7x = - 28
x = 28 / 7
x = 4
Therefore,
m∠AFE = 168 - 10x
m∠AFE = 168 - 10(4)
m∠AFE = 168 - 40
m∠AFE = 128°
Therefore, the angle m∠AFE = 128°
learn more on angles here: brainly.com/question/13212279
#SPJ1
(C) "gaffe"
A gaffe is a mistake. The text would read "His conduct at the state dinner was a cavalcade of blunders, one gaffe following another until the evening ended" if this phrase were added. The comma signifies that the word that is missing is equivalent to the word error.
A social misstep can be described using either the words "blunder" or "gaffe." The answer is not (A). A "query" is an enquiry or question. (B) is the wrong answer. Gibe is slang for a mocking comment.
The answer is not (D). Tryst is often used to describe an amorous encounter. The answer is not (E). An expression of appreciation, respect, or admiration is referred to as a "tribute.".
Here's another question with an answer similar to this about passage analysis: brainly.com/question/3521530
#SPJ4
