Answer: the slope 6
Step-by-step explanation:
with the slope formula you can see the slope of the line right in the equation so therefore it is 6.
<h3>
Answer: 41.19 degrees</h3>
==========================================
Work Shown:
See the diagram below.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 7/8
A = arctan(7/8)
A = 41.1859252
A = 41.19 degrees
Y=12+2x
y represents the number of pieces she now knows, x represents the number of weeks she has taken lessons, 2 is the slope (the number of pieces she'll learn each week), and 12 is the y intercept (the number of pieces she knew before taking lessons).
To solve the equation for 11 weeks, we replace x with 11.
2×11+12= 24
y=24
1. given
2. measure angle 1 plus measure angle 2 equals 90 degrees
3. B D bisects angle A D C
4. definition of angle bisector
5. definition of congruence
6. measure angle 1 is equal to measure angle 3
7. angle 1 is congruent to angle 3
7. definition of congruence
hope that helps
Answer:
x = 2
Step-by-step explanation:
2(3x + 4) = 4x + 12
6x + 8 = 4x + 12
2x + 8 = 12
2x = 4
x = 2