To make a percent to a decimal, move the decimal to the left 2 times.
43%=0.43
Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence
Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.
Prime factorization involves rewriting numbers as products
The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
<h3>How to determine the HCF</h3>
The numbers are given as: 1848, 132 and 462
Using prime factorization, the numbers can be rewritten as:



The HCF is the product of the highest factors
So, the HCF is:


<h3>How to determine the LCM</h3>
In (a), we have:



So, the LCM is:


Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
Read more about prime factorization at:
brainly.com/question/9523814
Step 
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem

we have

substitute the values



Step 
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that

Step 
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that




solve for AC

Step 
<u>Find the length of the segment DC</u>
we know that

we have


substitute the values


Step 
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem

we have

substitute the values



therefore
<u>the answer is</u>
