subject
Mathematics, 14.06.2020 03:57 meganxc98

What value of x would make KM ∥ JN? Triangle J L N is cut by line segment K M. Line segment K M goes from side J L to side L N. The length of J K is x minus 5, the length of K L is x, the length of L M is x + 4, and the length of M N is x minus 3.

Complete the statements to solve for x.

By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN.

Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x + 4 EndFraction.

Cross-multiply: (x – 5)() = x(x – 3).

Distribute: x(x) + x(4) – 5(x) – 5(4) = x(x) + x(–3).

Multiply and simplify: x2 – x – = x2 – 3x.

Solve for x: x = .

ansver
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 18:00, warnene17
What expression is equivalent to 42x-56y
Answers: 1
image
Mathematics, 21.06.2019 18:00, nanny2204p4ipj9
Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?
Answers: 1
image
Mathematics, 21.06.2019 18:30, issagirl05
Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3
Answers: 2
image
Mathematics, 21.06.2019 20:00, kait93
Elizabeth is using a sample to study american alligators. she plots the lengths of their tails against their total lengths to find the relationship between the two attributes. which point is an outlier in this data set?
Answers: 1
You know the right answer?
What value of x would make KM ∥ JN? Triangle J L N is cut by line segment K M. Line segment K M goe...

Questions in other subjects:

Konu
Mathematics, 08.06.2020 10:57