Answer:
4845 ways
Step-by-step explanation:
To solve this problem we use the formula of combinations
Where n is the total number of students that can be chosen and you choose r from them.
So
Note that in this case the order in which the 4 students are chosen does not matter.
Then
Answer: there are eight bicycles and 7 tricycles.
Step-by-step explanation:
Let x represent the number of bicycles that are there.
Let y represent the number of tricycles that are there.
There are a total of 15 bicycles and tricycles. This means that
x + y = 15
A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that
2x + 3y = 37- - - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
2(15 - y) + 3y = 37
30 - 2y + 3y = 37
- 2y + 3y = 37 - 30
y = 7
x = 15 - y = 15 - 7
x = 8
Answer:
2n-4>1n+3
Step-by-step explanation:
So basically 2 times a number go together because it means its multiplying and the greater sign is > and then 1 is multiplying with n so its 1n and then you just add 1
Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
