Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
we will use
this rule in order of operation
P: Parenthesis
E: Exponent
M: Multiplication
D: Division
A: Addition
S: Subtraction
we are given
30+2*10....
we can simplify it
now, we will check option and verify whether it is equal to 50
option-a:
3(2+3)
=3*5
=15
so, this is FALSE
option-b:
7(2+1)
=7*3
=21
so, this is FALSE
option-c:
6(3+7)
=6*10
=60
so, this is FALSE
option-d:
5(4+1)
=5*5
=25
so, this is FALSE
Eugene can buy 19 oranges because 146.11 divided by 7.69 is 19
Answer:
72 kg
Step-by-step explanation:
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
We are given the ratio
cement: sand:stones
= 1:2:4
The sum of proportion =
1 + 2 + 4 = 7
We are given the kg of sand = 144kg
Step 1
We find the total kg of cement, sand and stones = x
Using the proportion of sand,
2/7 of x = 144kg
2/7 × x = 144kg
2x/7 = 144kg
Cross Multiply
2x = 7 × 144kg
x = 7 × 144kg/2
x = 504kg
Therefore the total kg of cement, sand and stone = 504kg
Step 2
The amount of cement required is calculated as:
1/7 × 504 kg = 72 kg
Therefore, 72kg of cement is required.
