Answer:
∠W = 81°
Step-by-step explanation:
Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.
Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.
Angle DGF is the difference between angle OGF and angle OGD:
∠DGF = 49° -17° = 32°
External angle W is equal to the sum of remote internal angles DGF and OFG:
∠W = 32° +49°
∠W = 81°
There would be 35 calories in each slice of pie. All you have to do is divide the total number of calories (280) by the number of slices (8) and you find out there are 35 calories in each piece
By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
<em><u>Recall:</u></em>
- Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
- SOH represents: sin ∅ = Opp/Hyp
- CAH represents: cos ∅ = Adj/Hyp
- TOA represents: tan ∅ = Opp/Adj
The diagram attached below depicts the problem given.
∅ = x
Opp = 15 ft
Hyp = 50 ft
- Thus, applying the trigonometry ratio, SOH, we have:
sin x = 15/50
x = 
x = 17.5°
In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
Learn more about trigonometry ratio on:
brainly.com/question/4326804
4x+5=12-2x
Answer: x=1.1666666 and so on
Answer:
Option (1)
Step-by-step explanation:
From the triangles given in the picture,
Since, JK ≅ KL [Given]
JM ≅ ML [Given]
KM ≅ KM [Reflexive property of congruence]
ΔJMK ≅ ΔLMK [SSS property of congruence]
Therefore, ∠JKM ≅ ∠LKM [CPCTC]
(2x + 5) = (3x - 6)
3x - 2x = 5 + 6
x = 11
m∠JKL = m∠JKM + m∠LKM
= (2x + 5) + (3x - 6)
= 5x - 1
= 5(11) - 1
= 54
Option (1) will be the answer.