Answer:
<em>a:b:c=8:12:15</em>
Step-by-step explanation:
<u>Combined Ratio</u>
We are given the ratios:
a:b=2:3
b:c=4:5
The combined ratio a:b:c will include all three variables in one single expression.
Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:
a:b=2:3=(2*4):(3*4)=8:12
b:c=4:5=(4*3):(5*3)=12:15
Now there is a common factor in both ratios, we can combine them removing the common factor:
a:b:c=8:12:15
4/7 5/8 6/9 are some possible answers
Answer:
4
Step-by-step explanation:
Given that:
Let the two numbers = a and b
H. C. F of the two numbers = 2
L.C.M of the two numbers = 54
If a = 27 ; b =?
The product of a and b = product of their L. C. M and H. C. F ;
HENCE ;
27 * b = 2 * 54
27b = 108
b = 108/27
b = 4
Hence, second number is 4
Answer:
- 4x
Step-by-step explanation:
Answer and Step-by-step explanation:
Since we have given that
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° - Given
2. m∠1 + m∠5 = m∠1 + m∠4 - Substitution
3. m∠5 = m∠4 -
Subtraction property of equality
4. Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||
