Answer:
Kylie's grandfather is 73 years old.
Step-by-step explanation:
Let the first digit in Kylie's grandfather's age be x, which is the age of Isaac
Let the second digit in Kylie's grandfather's age be y, which is the age of Kendra.
Therefore from the given information we can say that
(10x + y) + x + y = 83
therefore 11x + 2y = 83
Let us take x = 7 then we get 77 + 2y = 83
y = 3
Therefore we can say Issac's age is 7
and Kendra's age is 3
and the age of Kylie's grandfather is 73.
Working out the different pay rates earned by Ike Phillips :
- Time and half pay rate = $17.055
- Double pay rate = $22.74
- Time and half earning = $114.2685
- Double rate earning = $77.316
- Gross earning = $646.3845
Let :
Regular rate = $11.37
Total earning for the week = $454.80
Double pay hours = 3.4
Time and half pay hours = 6.7
- Time and half pay rate = 1.5 × regular pay rate = 1.5 × 11.37 = $17.055
- Double pay rate = 2 × regular pay rate = 2 × 11.37 = $22.74
- Time and half earning = rate × time = $17.055 × 6.7 = $114.2685
- Double rate earning = rate × time = $22.74 × 3.4 = $77.316
- Gross earning = (regular + time and half + double earning) = $(454.80+114.2685+77.316) = $646.3845
Therefore, Ike's gross earning for the week is $646.3845
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Answer:
Triangles are similar using AAA rule of similarity.
Step-by-step explanation:
Let's take triangle ACD. Where <D =60 degrees. <A =74.9 degrees and let's find <C using angle sum property of a triangle.
Please remember the sum of interior angle of a triangle is 180 degrees.
So, m<D= 180-60-74.9 =45.1 degrees.
Other triangle RST has the two angles as 74.9 degrees and 45.1 degrees.
So, third angle <T= 180-74.9-45.1= 60 degrees.
If we see the angles of a triangle, both has same angle measures.
That's <A= <R
<C= <S
<D= <T
So, the triangles are similar using AAA rule of similarity.
14.4 is your answer for y