Weekly pay = amount per hour x number of hours:
24 x 11.63 = 279.12
Annual salary = weekly pay x 52 weeks:
279.12 x 52 = 14,514.24
Answer:
No
Step-by-step explanation:
Use the pythagorian theorm to find whether it's a right triangle or not.
So the hyp will be the largest number. And the hyp must be equal to the sum of b and c squared
5.2 squared= 2.4 squared+ 4m5 squared
27.04= 26.01
It's not equal so the triangle isn't a right triangle.
The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property
<h3>How to prove congruent angles?</h3>
The image of the transversal line is attached.
1) We know that lines a and b are parallel and that line c is a transversal because that is given.
2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.
3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.
4) Therefore, angles 2 and 7 are congruent based on the transitive property.
Read more about Congruent Angles at; brainly.com/question/1675117
#SPJ1
Answer:
Length = 9units
Width = 7units
Step-by-step explanation:
It is said that the length is 2units more than the width
Assume that the width is x, then the length will be 2 + x
ie
Width = x
Length = 2 + x
Area of the rectangle = 63units
Area of rectangle = l * b
l - length of the rectangle
b - width of the rectangle
A = l * b
63 = (2 + x) * x
63 = ( 2 + x) x
63 = 2x + x^2
Let's rearrange it
x^2 + 2x - 63 = 0
Let's find the factor of 63
A factor that can be multiplied to give -63 and that can be added to give +2
Let's use -7 and +9
x^2 - 7x + 9x - 63 = 0
Separate with brackets
( x^2 - 7x) + ( 9x - 63) = 0
x( x - 7) + 9(x - 7) = 0
( x + 9)(x - 7) = 0
( x + 9) = 0
( x - 7) = 0
x + 9 = 0
x = -9
x - 7 = 0
x = 7
Note: the length of a rectangle can not be negative
So therefore,
x = 7
Length = 2 + x
= 2 + 7
= 9units
Width = x
= 7units
In the complex plane, the point
corresponds to the complex number
. So this means the number
can be represented by the point
.
