The interval notation for width of rectangle will be: (1,33)
Step-by-step explanation:
Perimeter of rectangle < 172 feet
Length of rectangle = 53 feet
Width of rectangle = ? (range of values)
The formula used to find perimeter of rectangle is:
where l is length and w is width
In our case we will use: because perimeter should be less than 172
Putting values:
So, width should be less than 33
Since width should be positive and greater than 0
So, the interval notation for width of rectangle will be: (1,33)
Keywords: Perimeter of rectangle
Learn more about Perimeter of rectangle at:
#learnwithBrainly
This is a line portrayed in point-slope form.
First, put a point at (0, -1). This is your y-intercept.
Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).
Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).
Finally, draw a line connecting all your points.
Answer:
5/25
Step-by-step explanation:
Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.
<h3>Angles. Triangle angles.</h3>
The sum of angles of a triangle equals 180°.
Therefore:
|∠EAB| + |∠ABE| + |∠BEA| = 180°
Susbtitute
|∠EAB| = 14°
|∠ABE| = 45°
|∠BEA| = x°
14° + 45° + x° = 180°
59° + x° = 180° |<em>subtract 59° from both sides</em>
<h3>x° = 121°</h3>
∠BEA and ∠CED are vertical angles. Vertical angles are congruent, meaning that they have the same angle measure.
Therefore
<h3>|∠CED| = 121°</h3>
In ΔCDE:
|∠CED| + |∠DCE| + |∠EDC| = 180°
Substitute:
|∠CED| =121°
|∠DCE| = 27°
|∠EDC| = y°
121° + 27° + y° = 180°
148° + y° = 180° |<em>subtract 148° from both sides</em>
<h3>y° = 32°</h3>
<h2>|∠EDC| = 32°</h2>