Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

Parallel lines have the same slope. Therefore if given line is

then the slope of our line is
.
We have the equation:

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

<em>add 2 to both sides</em>

Finally:

Answer:
<em>(1, 7) </em>
Step-by-step explanation:
y = 3x + 4
y = 6x + 1
6x + 1 = 3x + 4 ⇒ x = 1
y = 3(1) + 4 = 7
<em>(1, 7)</em>
2/3 is the same 4/6
7/2 is the same as 21/6
4/6 + 21/6 = 25/6
So the answer is 25/6, not 25/5.