Answer:
20 bicycles and 10 tricycles.
Step-by-step explanation:
Let the number of bicycles and tricycles be x and y respectively.
Each vehicle has 1 seat. Each bicycle 2 wheels and each tricycle 3 wheels.
Then we have the system of equations:
x + y = 30 ............ (1)
2x + 3y = 70.........(2)
Multiply the first equation by -2:
-2x - 2y = -60......(3)
Adding (2) + (3):
y = 10
Substituting for y in equation (1):
x + 10 = 30
x = 20.
Answer:
m ∠ UVT = 97° is the required answer.
Step-by-step explanation:
Given:
m∠WVU = 169°
m∠WVT = (2x + 20)°
m∠UVT = (3x + 19)°
To Find:
m∠UVT = ?
Solution:
Angle Addition Postulate is that if you place two angles side by side, then the measure of the resulting angle will be equal to the sum of the two original angle measures.
So By applying this property in the diagram below we get,
m∠ WVT + m∠UVT = m∠WVU ............{Angle Addition Postulate}
![(2x+20) + (3x+19) = 169\\5x + 39 = 169\\5x=169-39\\5x=130\\\therefore x=\frac{130}{5} \\\therefore x=26\\](https://tex.z-dn.net/?f=%282x%2B20%29%20%2B%20%283x%2B19%29%20%3D%20169%5C%5C5x%20%2B%2039%20%3D%20169%5C%5C5x%3D169-39%5C%5C5x%3D130%5C%5C%5Ctherefore%20x%3D%5Cfrac%7B130%7D%7B5%7D%20%5C%5C%5Ctherefore%20x%3D26%5C%5C)
Now,
m∠UVT = (3x + 19)°
Substituting x = 26 we get
m∠UVT = 3 ×26 + 19
= 78 +19
∴ m∠UVT = 97°
When dividing exponents with the same base, you subtract the powers. -3 - (-8) = 5. The expression should be equal to 4^5. Looking at the expressions, A and D match up.
1/4 as a decimal is 0.25 and 0.25 times 3 is 0.75 so you change that into a fraction which is 3/4 butter she used.
Answer:
the answer is roational symmetry.
Step-by-step explanation: