Answer:
x = 5
z =2
y =4.4
Step-by-step explanation:
y varies directly as x
y = kx
and inversely as z
y = kx/z
Putting in the numbers in the first line of the table, we can solve for k
13.75 = k * 25/4
Multiply by 4
13.75*4 = 25k
55 =25k
Divide by 25
55/25 = 25k/25
2.2 = k
Now we can fill in the table
y = 2.2 x/z
Row 2 we need to find x
1 = 2.2 x/11
Multiply by 11
11 = 2.2 x
Divide by 2.2
11/2.2 = 2.2x
5 =x
Row 3 we need to find z
18.7 = 2.2 *17/z
18.7 = 37.4 /z
Multiply by z
18.7z = 37.4
Divide by 18.7
18.7/18.7z = 37.4/18.8
z =2
Row 4 we need to find y
y = 2.2 *10/5
y = 22/5
y =4.4
The answer would be 1522188288? and rounded to 3 sf would be 1520000000?
Given:
Consider the expression is .
To find:
The value of given expression.
Solution:
We have,
It can be written as
Therefore, the value of given expression is .
Note: all options are incorrect.
Answer:
$486
Step-by-step explanation:
First you find the area of the window. The area of a square is equal to h×w, so we take 9×9 which equals 81. Since it costs $6 per square foot, we now take 81×6, which gives us an answer of $486.
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.