Answer:
hello,
Step-by-step explanation:
a)
In an isocele triangle, base's angles have the measure:
42+2a=180
2a=180-42
a=69(°)
b)
in a triangle, an external angle has for measure the sum of the angles not adjacents.
55+b=132
b=77 (°)
c)
in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.
90+90+68+c=360
c=360-90-90-68
c=112 (°)
Answer: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
<h3>How long does it take to fill the dam?</h3>
Given that;
- Amount of water needed to fill the dam A = 30000 litres
- Pump rate r = 75 litres per minute
- Time needed to fill the dam T = ?
To determine how long it take to fill the dam, we say;
Time need = Amount of water needed ÷ Pump rate
T = A ÷ r
T = 30000 litres ÷ 75 litres/minute
T = 400 minutes
Note that; 60min = 1hrs
Hence,
T = 6hours 40minutes
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
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Answer:
x = 7
Step-by-step explanation:
A line perpendicular to the x- axis is a vertical line parallel to the y- axis.
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line goes through
The line goes through (7, 13) with x- coordinate of 7, thus
x = 7 ← equation of perpendicular line
Answer:
x= -12
Step-by-step explanation:
-13+x=-25
+13 +13
x= -12