Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
The answer is -48. Here is how to solve!
Answer:
Therefore Based on the Figure only the third option i.e C. ic True
Step-by-step explanation:
Given:
Let label the figure first such that
In Δ ABC , ∠C = 90° , ∠ B = 62°,
AB = Hypotenuse = c
AC = 17
To Find:
True Statements
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
Substituting the values we get
In Right Angle Triangle ABC , Cosine Identity we have
Substituting the values we get
Here in this figure
Substituting we get
Therefore Based on the Figure only the third option i.e C. is True
Answer:
k is 63
Step-by-step explanation:
The positive integer k has exactly two positive prime factors, 3 and 7
Lets write the combination of prime factors including 1 and k
1, 3, 7, _ , _ , k
using the above factors 3 times 7 is also the factor
so 21 is the other factor
1, 3, 7, 21 , _ , k
Now we use the given statements
(1) 3^2 is a factor, so 9 is also a factor
1, 3, 7, 21 , 9 , k
7^2 is NOT a factor of k. so 49 is not a factor of k
So 3,3 and 7 is the factor of k
K is 63
1. 5.051, 5.501, 5.51
2. 4, 4.001, 4.01 (if you missed the period in '4001'. If not, then this is the correct answer: 4, 4.01, 4001.)
3. 0.023, 0.203, 0.230