Answer:
m < B = 55°
Step-by-step explanation:
The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In this given problem, the exterior angle of the Δ ABC is < C. The remote interior angles of < C are < B and < A. The sum of these two remote interior angles is equal to the m < C.
We're also given the information that m< C = 115°, m < A = 4y°, and m < B = (3y + 10)°
Therefore, to solve for the m < B, we can establish the following formula:
m < A + m < B = m < C
4y° + (3y + 10)° = 115°
4y° + 3y° + 10° = 115°
Add like terms:
7y° + 10° = 115°
Subtract 10° from both sides:
7y° + 10° - 10° = 115° - 10°
7y° = 105°
Divide both sides by 7 to solve for y:
7y°/7 = 105°/7
y = 15°
Therefore, the value of y = 15. To verify whether this is the correct value, substitute y = 15 into the equality statement:
m < A + m < B = m < C
4(15)° + [3(15) + 10]° = 115°
60° + 55° = 115°
115° = 115° (True statement, which means that y = 15 is the correct value).
Therefore, m < B = (3y + 10)° = 55°
Please mark my answers as the Brainliest, if you find this solution helpful :)
Answer:
Initial temperature = 20° C
Temperature after 18 minutes = 4° C
Step-by-step explanation:
Function representing the relation in the temperature of the soda and time has been given as,
T(x) =
Here x = number of minutes since the can was placed in the cooler
For initial temperature of the soda,
x = 0,
T(0) =
= -8 + 28(1)
= 20° C
For the temperature after 18 minutes,
x = 18,
T(18) =
=
=
= 4.456 C
≈ 4° C
Answer:
Step-by-step explanation:
The equation of the horizontal hyperbola in standard form is:
The position of its center is:
The values for c and a are respectively:
The remaining variable is computed from the following Pythagorean identity:
Now, the equation of the hyperbola is:
Answer:
The above answer is correct but the 3 should be a 9
Step-by-step explanation:
Plato
Answer:
1/9
Step-by-step explanation:
the slope is m in y=mx+b
hope this helps!
decimal system is the name of our number system.
Answer:
Our Number System is Hindu Arabic Number System.
The digits are: 0,1,2,3,4,5,6,7,8,9