Triangle L M N is cut by line segment O P. Line segment O P goes from side M L to side M N. The length of O L is 14, the length
of O M is 28, the length of M P is y, and the length of P N is 18.
Which value of y would make O P is parallel to L N?
16
24
32
36
Which value of y would make O P is parallel to L N?
16
24
32
36
2 answers:
Answer:
The value of y that would make O P parallel to L N = 36
Step-by-step explanation:
This is a question on similar triangles. Find attached the diagram obtained from the given information.
Given:
The length of O L = 14
the length of O M = 28
the length of M P = y
the length of P N = 18
Length MN = MP + PN = y + 18
Length ML = MO + OL = 28+14 = 42
For OP to be parallel to LN,
MO/ML = MP/PN
MO/ML = 28/42
MP/PN= y/(y+18)
28/42 = y/(y+18)
42y = 28(y+18)
42y = 28y + 18(28)
42y-28y = 504
14y = 504
y = 504/14 = 36
The value of y that would make O P parallel to L N = 36
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We will use ratio to determine how much can Fatima afford as a loan for her house.
Let gross income of Fatima = $ x
Amount earned by Fatima monthly= $ 5,375
36 % of 5,375=
$
Maximum amount that can be paid as a loan monthly = $ 1935
Total money that she can pay yearly for house loan if Fatima allowable money for paying loans is $ 1935=
$
Money saved as a down payment = $ 15,000
So, maximum amount loan Fatima can take on a house= 23220 + 15000=$38,220
She is not allowed for loan for house if the cost of house is any of the four options.
(B) 28 % of $ 5375=
$
Maximum amount that Fatima spend on her house monthly= $ 1505
Amount that fatima can spend yearly on her house = 1505× 12 =$18,060
For the four options given , none of the option matches Fatima's expectations.