Answer:
y = 5/7 x - 6
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1
The slope of the given function is -7/5
Let the slope of the required function be m
m * -7/5 = -1
7/5 m = 1
7 = 5m
m = 5/7
The slope of the line perpendicular to the line is 5/7
The required equation (using any value of the y-intercept) is expressed as;
y = 5/7 x - 6
Note that the y-intercept value was assumed and any value can be used
Yes it is a arithmetic sequence this is because you are adding 8 to each number to get the result of the next number
Answer:
L 41/3 14 [200] G
Step-by-step explanation:
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are


From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
Answer:
m∠BCD = 90°
∠BCD is a right angle
Step-by-step explanation:
<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>
∵ Ray CE bisects ∠BCD
→ Means divide it into two angles BCE and ECD which equal in measures
∴ m∠BCE = m∠ECD =
m∠BCD
∵ m∠BCE = 3x - 6
∵ m∠ECD = 2x + 11
→ Equate them to find x
∴ 3x - 6 = 2x + 11
→ Add 6 to both sides
∵ 3x - 6 + 6 = 2x + 11 + 6
∴ 3x = 2x + 17
→ Subtract 2x from both sides
∵ 3x - 2x = 2x - 2x + 17
∴ x = 17
∵ m∠BCE =
m∠BCD
→ Substitute x in the measure of ∠BCE to find it, then use it to
find m∠BCD
∵ m∠BCE = 3(17) - 6 = 51 - 6
∴ m∠BCE = 45°
∵ 45 =
m∠BCD
→ Multiply both sides by 2
∴ 90 = m∠BCD
∴ m∠BCD = 90°
→ The measure of the acute angle is less than 90°, the measure of
the obtuse angle is greater than 90°, and the measure of the
right angle is 90°
∴ ∠BCD is a right angle