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devlian [24]
3 years ago
14

2. What is the value of x? Show your work.

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer:

x=7

Step-by-step explanation:

We are given that

\angle K=\angle N

\angle J=\angle M

Therefore, \triangle JKL\sim \triangle MNP

By AA similarity postulate

AA similarity: When two angles of one triangle are equal to its corresponding angles of other triangle then , two triangles are similar by AA similarity.

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore, \frac{JK}{MN}=\frac{JL}{MP}

We have JK=25 units,MN=30 units

JL=20 units,MP=4x-4

Substitute the values then we get

\frac{25}{30}=\frac{20}{4x-4}

\frac{5}{6}=\frac{20}{4(x-1)}=\frac{5}{x-1}

x-1=\frac{5\times 6}{5}

x-1=6

x=6+1=7

Hence, the value of x=7

trapecia [35]3 years ago
4 0
The answer will be 7.....value of x is 7 i believe

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3 years ago
Mrs. Martin brought 100 cookies to her class. She gave each student the same number of cookies, and had 5 cookies left over. the
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2 years ago
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Please show work on how you got the answer
Maurinko [17]
Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
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3 0
3 years ago
Solve the inequality x^2 -2x - 8 >0​
kykrilka [37]

Answer:

and here is your answer

8 0
3 years ago
Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
zloy xaker [14]
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4

Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
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