Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.
Find slopes of these lines.
-4x-5y=-4
-4x+4 =5y
Divide by 5
Y= -4x/5 +4/5
Second line: 10x-8y=-1
10x+1=8y
Divide by 8
10x/8 +1/8 =y
Y= 5x/4 +1/8
So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
Answer:
414.857143
Step-by-step explanation:
r=66
=2*66*22/7
=414.857143
Answer:
Step-by-step explanation:
Yes
Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.
∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Prove: ∠A ~= ∠C.
Statements Reasons
1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given
2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary
3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality
4. m∠A = m∠C Substitution (step 3)
5. ∠A ~= ∠C Definition of ~=
Answer:
<em>2,300,000pages report.</em>
Step-by-step explanation:
Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.
We must first understand that 1 page of a document uses up approximately 2kB of the storage.
Since 2kB = 1page
4.6*10⁶KB = x page
Cross multiply
2kB * x = 4.6*10⁶KB * 1
2x = 4.6*10⁶
x = 4.6*10⁶/2
x = 2.3*10⁶
x = 2,300,000
<em>Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages report.</em>
Answer:
5x3 + 3x2
Step-by-step explanation:
