First solve the triangle:
75° + 75° + x = 180°
150° + x = 180°
x = 180° - 150°
Therefore x = 30°
Then, use the geometrical property of vertically opposite angles.
Therefore. x° = 30°
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:
a + b = 155000 (1)
Also:
0.1a + 0.08b = 14100 (2)
From both equations:
a = 85000, b = 70000
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
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Answer:
15
Step-by-step explanation:
Population size= 2107+903+1505+1499
= 6014
Calculating the sample of ward B by using the stratified random sampling formula:
Stratified Random Sample, np= ( Np / N ) * n
where
np= pth stratum sample size
Np= pth stratum population size
N = population size
n = sample size
Stratified Sample (ward B) = 100 / 6014 * 903 = 15 !
For the first one...
1,15
2,30
3,20
and for the second one is the same as the first one.
EXTRA CREDIT:
Week one increases by 15, week two increases by 15 but week three decreases by 15. The total miles ran would be 15 miles
15+15=30 30-15=15 miles