Which expression is equivalent to 23x-46y
1 answer:
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Answer:
HT = 17 cm
<T = 58°
<H = 32°
Step-by-step explanation:
✔️Find HT:
Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²
Where,
a = HW = 15 cm
b = WT = 8 cm
c = HT
Plug in the values:
HT² = 15² + 8²
HT² = 289
HT = √289
HT = 17 cm
✔️Find <T by applying trigonometric ratio formula:
Recall: SOH CAH TOA
Reference angle (θ) = <T
HW = 15 cm = Opposite side length
WT = 8 cm = Adjacent side length
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos T = 8/15
T =
T ≈ 58°
✔️Find <H:
Sun of interior angles of a triangle = 180°
Therefore,
m<H + m<T + m<W = 180°
Substitute
m<H + 58° + 90° = 180°
m<H + 148° = 180°
m<H = 180° - 148°
m<H = 32°
Answer:
-13 -
+ 4p + 3
Step-by-step explanation:
I am having a little trouble reading the number. I think 5 is the question number and not part of the problem. I think this is the problem:
(4p - 6 - 3) - (8
+ 7
- 6) You take the opposite of everything inside the second set of parentheses. You can think of it as multiplying through by -1
4p - 6 - 3 - 8
- 7
+ 6 Now we combine like terms. That is the numbers with the same variable p and the same power of p.
-13 - 8
+ 4p + 3