Answer:
Option 4
Step-by-step explanation:
=>
Combining like terms
=>
=>
Find the slope and y-intercept. Pleasee
2 answers:
Answer:
Step-by-step explanation:
<u><em>The slope</em></u> is the change in the y-axis over the change in the x-axis. To find the slope, you need to move vertically from a given point. Once you are horizontal to another point, move over to it. Count the spaces between each:
- Start at (0,6)
- Move down to (0,4). Since you moved down two spaces, use the value -2 to define the rise
- Move to the right to point (1,4). Since you moved to the right 1 space, use the value 1 to define the run.
- Insert the values into
→
- Simplify →
Therefore, the slope is -2.
<u><em>The y-intercept </em></u>is where and where the line crosses over the y-axis. The coordinate point where this happens is
, so the y-intercept is 6.
:Done
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Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
