Answer:
<h2>m∠ACE = 90°</h2>
Step-by-step explanation:
Figure Interpretation:
m∠CBA + m∠CDE = 180
m∠BCA = (180-m∠CBA)/2
m∠DCE = (180-m∠CDE)/2
=======================
Then
m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2
= [360-(m∠CBA+m∠CDE)]/2
= [360 - 180]/2
= 90
finally,
m∠ACE= 180 - (m∠BCA + m∠DCE)
= 180 - 90
= 90
Answer:
3.93 per hour
Step-by-step explanation:
The first 4 hours is at 20 hours / 4 hours or 5 dollars an hours
The second line has a slope of 2.50 dollars an hour
But there is also a surcharge when you go over 4 hours
That is a 5 dollar flat rate at 4 hours
Assuming that we do not include the flat rate in the hourly calculation
4 hours * 5 dollar + 3 hours * 2.50 = 20+7.50
27.50 is the hourly charge
Divide by 7 hours
3.928571429
3.93 per hour
Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
Answer:
x = -8
Step-by-step explanation:
-23 + 7 = -16
-16 ÷ 2 = -8
2 × -8 =-16 - 7 = -23
An outlier is a number much smaller or larger than the rest of the group of numbers. And outlier does not affect the median or the mode at all. It only affects the mean.
