1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fiesta28 [93]
3 years ago
8

PLEASE HELP SOON Find the length of x.

Mathematics
2 answers:
DochEvi [55]3 years ago
3 0
<h2>Hello!</h2>

The answer is:

The length of "x" is equal to 4 units.

<h2>Why?</h2>

To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.

So, for the triangles, we have:

The angle((α)) formed between the base (2.5) and the hypotenuse (5)  of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).

We are given:

First triangle,

AdjacentSide=2.5\\Hypotenuse=5\\

Second triangle,

AdjacentSide=2\\Hypotenuse=x\\

So, using the cosine identity, we have:

Cos(\alpha)=\frac{AdjacentSide}{Hypotenuse}

Cos(\alpha)=\frac{2.5}{5}=\frac{2}{x}

Cos(\alpha)=\frac{2.5}{5}=\frac{2}{x}\\\\\frac{2.5}{5}=\frac{2}{x}\\\\x=2*\frac{5}{2.5}=4

Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.

Hence, the length of "x" is equal to 4 units.

Have a nice day!

Effectus [21]3 years ago
3 0

Answer:

The length of x = 4

Step-by-step explanation:

From the figure we can see that two triangles are similar. (AAA similarity criteria)

Therefore the ratio of similar corresponding sides are equal.

Answer:

The length of x = 4

Step-by-step explanation:

From the figure we can see that two triangles are similar. All angles are equal(AAA similarity criteria)

Therefore the ratio of similar corresponding sides are equal.

To find the value of x

From the figure we can write,

x/5 = 2/2.5

x = (5 * 2)/2.5

x = 10/2.5 = 4

Therefore the length of x = 4

From the figure we can write,

x/5 = 2/2.5

x = (5 * 2)/2.5

x = 10/2.5 = 4

Therefore the length of x = 4

You might be interested in
Sally wants to buy a cell phone. The price of the cell phone she had wanted had increased from $200 last week to $240 this week.
notsponge [240]
20%

200 divided by 5 equals 40
4 0
2 years ago
Someone EXPLAIN HOW + dont just answer!! i need an explanation and an answer
sdas [7]

Answer:

< - 5, 3.5 >

Step-by-step explanation:

A single translation is required to map A onto B

Consider the point (5, 3 ) on A and the corresponding point (0, 6.5) on B

the translation is < 0 - 5, 6.5 - 3 > = < - 5, 3.5 >


7 0
3 years ago
Can someone please help me out
Tema [17]
A= 3,2
B= -1,-1
C= 3,4
D= 1,4
4 0
3 years ago
Help! Giving brainliest please show your work
torisob [31]

Answer:

1) 13/20

2) 100

3) 2^6

4 0
1 year ago
Miss Blue's gross pay is $903.75. Assuming 7.65% social security withholding, how much should her employer withhold from her che
vesna_86 [32]
Miss Blue's gross pay is 903.75 dollars.
=> the rate of the Social Security is 7.65%.
Now, let's solve for the amount that the employer should withhold from her salary.
=> 903.75 dollars * .0765 = 69.137 dollars will be deducted to her salary.
=> 903.75 dollars - 69.137 dollars = 834.61 dollars is the remaining of her salary.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer qu
    13·1 answer
  • The ability to do work is how we measure<br><br> A. power <br> B. work <br> C. force <br> D. joule
    7·2 answers
  • What is the greatest prime number less than 26
    13·2 answers
  • Lacey is putting 3902 books into boxes. She needs to put 89 books in each box. Approximately how many boxes will she need.
    7·2 answers
  • The island has 600 bikes and 900 people. What is the bike to person ratio?
    11·2 answers
  • Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (
    13·1 answer
  • Help me please I need to choose.​
    9·1 answer
  • Tyler has 3 times as many books as Mai.
    6·2 answers
  • B) Work out<br> (10 - 3 x 2)^2
    6·1 answer
  • PLS HELP I CANT FAIL THIS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!