Answer:
64°
Step-by-step explanation:
Check the attachment for the diagram. Since the triangle has one of its angle as 90°, it is a right angled triangle.
Using the SOH CAH TOA trigonometry ratios:
Since ∠P is opposite to side QR,
QR = opposite side = 8ft
RP = adjacent side = 3.9ft
According to TOA
Tan∠P = Opposite/Adjacent = QR/RP
Tan∠P = 8/3.9
Tan∠P = 2.05
∠P = arctan 2.051
∠P = 64°
Answer:
5x - 4
Step-by-step explanation:
2x + 3x = 5x
4 = 4
A line <u>bisector</u> is a <em>straight </em>line that <u>divides</u> a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is <em>equidistant</em> from points A and C.
BD ⊥ AC (given)
BD = 3 units, and AC = 8 units.
BD is the <em>perpendicular</em> bisector of <u>segment</u> AC (given)
Thus,
<BDA ≅ <BDC <em>(right</em> angles formed by a <u>perpendicular</u> bisector)
AD ≅ DC <em>(equal</em> parts of a<em> bisected l</em>ine)
AD ≅ DC = 4 units
Thus joining <u>points</u> B to A, and B to C,
BA ≅ BC.
So that applying <em>Pythagoras</em> theorem to ΔABD, we have:
=
+ 
=
+ 
= 
AB = 5 units
So that,
BA ≅ BC = 5 units
Therefore, it can be <u>concluded</u> that point D is <em>equidistant</em> from points A and C.
For more clarifications on a perpendicular bisector of a line, visit: brainly.com/question/929137
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Step-by-step answer:
56 out of 79 is a percentage less than a hundred, because 56 is less than 79.
Take out the calculator then divide fifty-six by seventy-nine, then multiply by a hundred to get seventy-one percent.
If calculators are not allowed, notice that seventy-nine is close to eighty. So divide fifty-six by eighty to get 70%. But since we divided by eighty instead of seventy nine, we need to add approximately one percent to get the right answer.
Answer:
A
Step-by-step explanation:
The answer is 0.6^(x)-2. Answered by Gauthmath