Answer:
Q1. Regular (A)
Q2. 105° (C)
Q3. x=45°
Step-by-step explanation:
Q1. A regular polygon is a polygon with all sides and angles equal.
Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore, 360°-255°=105°
Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.
<u><em>Note</em></u>: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).
Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.
Therefore the sum of interior angles is (5-2)180°=540°
solving the equation you have;
360°+4x=540°
4x=540°-360°
4x=180°
x=180°/4
x=45°
therefore x=45°
Answer:
11/15=x/240
240/15=16
11 x 16=176
11/15=176/240 or rather he completes 176 passes
Step-by-step explanation:
Answer:
We want to find the percentage of values between 147700 and 152300

And one way to solve this is use a formula called z score in order to find the number of deviations from the mean for the limits given:

And replacing we got:


So then we are within 1 deviation from the mean so then we can conclude that the percentage of values between $147,700 and $152,300 is 68%
Step-by-step explanation:
We define the random variable representing the prices of a certain model as X and the distirbution for this random variable is given by:

The empirical rule states that within one deviation from the mean we have 68% of the data, within 2 deviations from the mean we have 95% and within 3 deviations 99.7 % of the data.
We want to find the percentage of values between 147700 and 152300

And one way to solve this is use a formula called z score in order to find the number of deviations from the mean for the limits given:

And replacing we got:


So then we are within 1 deviation from the mean so then we can conclude that the percentage of values between $147,700 and $152,300 is 68%
Answer:
$4 per Turkey
Step-by-step explanation:
Look on the graph and follow every number to the cost:
2 Turkeys: $8
4 Turkeys: $16
5 Turkeys: $20
Notice how there is a Pattern:
8, 16, and 20 are all multiples of 4
4 x 2 = 8
4 x 4 = 16
4 x 5 = 20
So, the constant of proportionality for the coast per sandwich and Delicious Deli is $4
Answer:
46 units^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is
SA = 2(lw +lh+wh) where l is length, w is width and h is height
SA = 2 (2.5* 4+ 2.5*2 + 4*2)
= 2 (10+5+8)
= 2( 23)
= 46 units^2