Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
3^2+12/(6-3)*8
3^2+12/3*8
9+12/3*8
9+4*8
9+32
41
Final answer: 41
Remember to follow pemdas, parentheses, exponents, multiplication and division, followed by addition and subtraction going from left to right.
Answer:
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.
Answer:
12 weeks
Step-by-step explanation:
Josiah and kiri are each saving money josiah starts with 100$ in savings accound and adds 5$ per week . Kiri with 40$ in her savings account adds 10$ each week after how weeks Josiah and kiri will have the same amount of money in their savings account
Josiah:
100 + 5w
Kiri:
40 + 10w
Where,
w = number of weeks
After how weeks Josiah and kiri will have the same amount of money in their savings account
Equate the savings of the both of them
100 + 5w = 40 + 10w
100 - 40 = 10w - 5w
60 = 5w
w = 60/5
= 12
w = 12 weeks
Josiah and kiri will have the same amount of money in their savings account after 12 weeks
Given :
A boat is travelling 5 m/s and accelerates at a rate of 3 m/s² .
u = 5 m/s.
a = 3 m/s².
To Find :
How long will it take for the boat to reach a velocity of 20 m/s.
Solution :
Final velocity is v =20 m/s.
By equation of motion :
Putting all given values :
Therefore, time taken to reach 20 m/s is 5 seconds.
Hence, this is the required solution.
