Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Answer: 11/20
55/100 simplified is 11/20
If you would like to know how many feet of fencing does Laurel need in all, you can calculate this using the following steps:
square garden: 4 * 50 feet = 200 feet
3 square rose beds: 3 * 10.5 feet * 4 = 12 * 10.5 feet = 126 feet
200 feet + 126 feet = 326 feet
Laurel will need 326 feet of fencing.
Answer:
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
Subtract x from both sides
Divide both sides by 3
The slope of the line is the coefficient of x
Slope = 
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of
Having calculated the slope, next is to calculate the equation of the line using the following formula;
Where m is the slope; m = ; 
Substitute these values in the formula above; the formula becomes
Cross Multiply
Open brackets
Add x to both sides
Add 6 to both sides
Multipby both sides by -3
Comparing the above to Ax + By = 3
