Answer:
In triangle SHD and triangle STD.
[Side]
Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.
⇒ 
[leg] [Given]
Reflexive property states that the value is equal to itself.
[Leg] [Reflexive property]
HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.
then, by HL theorem;
Proved!
Total monthly saving = $1,315
<h3>What are savings?</h3>
Saving is the portion of income not spent on current expenditures. In other words, it is the money set aside for future use and not spent immediately.
Given:
Oakland Los Angeles
Cost Housing $565 $1200
Food $545 $655
Health Care $245 $495
Taxes $450 $625
Other Necessities $350 $495
Now,
Saving in house
= $1200 - $565
= $635
Saving in food
= $655 - $545
= $110
Saving in health care
= $495 - $245
= $250
Saving in taxes
= $625 - $450
= $175
Saving in necessities
= $495 - $350
= $145
Total saving = $635+$110+$250+$175+$145
= $1,315
Hence, the monthly savings should be $1,315.
Learn more about this concept here:
brainly.com/question/13096261
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The complete question is
Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities. Oakland Los Angeles Budget Item Cost Cost Housing $565 $1200 Food $545 $655 Health Care $245 $495 Taxes $450 $625 Other Necessities $350 $495 Monthly Total How much money will they save monthly by the move to Oakland? $1315 $1560 $1665 $1765?
Answer:
Cost of five blouses = $145
Step-by-step explanation:
Let
x = cost of blouse
y = cost of skirt
15x + 2y = 505 (1)
5x + 2y = 215 (2)
Subtract (2) from (1) to eliminate y
15x - 5x = 505 - 215
10x = 290
x = 290/10
x = 29
Substitute x = 29 into (2)
5x + 2y = 215 (2)
5(29) + 2y = 215
145 + 2y = 215
2y = 215 - 145
2y = 70
y = 70/2
y = 35
x = cost of blouse = $29
y = cost of skirt = $35
How much do 5 such blouses cost?
cost of a blouse = $29
Cost of five blouses = $29 × 5
= $145
Cost of five blouses = $145
Answer:
Assuming population data
Assuming sample data
Step-by-step explanation:
For this case we have the following data given:
736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.
The first step in order to calculate the standard deviation is calculate the mean.
Assuming population data
The value for the mean would be:
And the population variance would be given by:
And we got 
And the deviation would be just the square root of the variance:
Assuming sample data
The value for the mean would be:
And the population variance would be given by:
And we got 
And the deviation would be just the square root of the variance:
