Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:


Solving for B, we have:

∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
Step-by-step explanation:
A)1st pair: ∠HKJ ,∠JKG 2nd pair: ∠HKE,∠EKF
B)Verticle angle:∠HKE and ∠GKF
C) 4x+5+41=180
4x+46=180
4x=134
x=33.5
D)4x+36=90
4x=90-36
4x=54
x=13.5
E) x+x-4=180
2x=184
x=92
Answer:
Mickey
Step-by-step explanation:
Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765
5 is the thousandth place so look to the right. If the number to the right is greater than 5 it'll round to 47.766 but since it's a four ti rounds down.
Answer:
Step-by-step explanation:
Let x represent Dan's age
3x be James'age
Paul 2(3x+x)=6x+2x
Suming all ages
x+3x+6x+2x=120
Solving for x
12x=120
x=10 (Dan's age)
3×=30 (James'age)
6×+2×=80(Paul's age)