Answer:
see explanation
Step-by-step explanation:
∠ A and ∠ FCE are corresponding angles and are congruent , then
∠ A = 150°
∠ FCE and ∠ C are vertically opposite angles and are congruent , then
∠ C = 150°
∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°
∠ ECB = 180° - ∠FCE = 180° - 150° = 30°
∠ E = 180° - (30 + 45)° ← sum of angles in a triangle
∠ E = 180° - 75° = 105°
∠ CBE and ∠ D are same- side interior angles and sum to 180° , then
∠ D = 180° - 45° = 135°
Answer:
B. 4.05 liters
Step-by-step explanation:
Answer:
The estimate of the percentage of millionaires in each of these cities:
Bridgeport San Jose Washington Lexington Park
CT CA D.C. MD
Percentage of
Millionaires 9% 12% 9% 8.3%
Step-by-step explanation:
Data and Calculations: City
Bridgeport, San Jose, Washington, Lexington Park,
Millionaire CT CA D.C. MD
Yes 45 36 36 33
No 455 264 364 367
Sample 500 300 400 400
Percentage of
Millionaires 45/500 36/300 36/400 33/400
= 0.09 0.12 0.09 0.0825
= 9% 12% 9% 8.3%
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form:
m - slope
b - y-intercept → (0, b)
We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.
Therefore we have the equation:
Put the coordinates of x-intercept to the equation:
<em>subtract 4m from both sides</em>
<em>divide both sides by (-4)</em>
Finally we have the equation of a line if slope-intercept form:
The standard form:
Convert:
<em>multiply both sides by 4</em>
<em>add 5x to both sides</em>
Answer:
C. 248°
Step-by-step explanation:
The arc measure of a full circle is 360 degrees.
Arc XZ measures 112 degrees.
Arcs XZ and XWZ add to a full circle, or 360 degrees.
The measure of arc XWZ = 360 degree - 112 degrees = 248 degrees
