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
kirill [66]
3 years ago
6

Find the value of x ?

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer: 5

Step-by-step explanation:

There are two similar triangles here, the smaller superimposed on the bigger one. One thing here is that, one of their three sides are parallel to each other .

When the triangles are separated, one side of the bigger triangle  = 24, and this  correspond  to 10 in the smaller triangle.

The size of the other side in the bigger triangle = 2x - 3 + x

                                                                               = 3x - 3

This correspond to x in the smaller triangle.

Now by considering congruent triangles now,

                                                                     10/24 = x/3x - 3

Therefore, cross multiply  to get the value of x

                                                              10(3x - 3 ) = 24x

Open the brackets and collect like terms,

                                                               30x - 30 = 24x

                                                              30x - 24x =  30

                                                                          6x = 30

Therefore, divide through by 6                          x = 5

                                                                   

You might be interested in
Question Of The Day: If Margaret took a quiz and got a 72% on it, and then she got a 80 on the second one, what is her average g
topjm [15]
Well first you add them together so 72+80=152 and then you devide by two which would make the average grade 76. hope this helps:)
3 0
4 years ago
Read 2 more answers
Jst tryna get this doneee
natta225 [31]

Answer:

Debit Card

Step-by-step explanation:

It is not a credit card, but you can use it to purchase anything, but you have your own money to use. Credit cards are used to purchase anything as well, but that is the bank's money you are borrowing and eventually, you have to pay them back the EXACT same money.

6 0
3 years ago
Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x
Sati [7]

Answer:

x = 2-t and y = -5\cdot t +21

Step-by-step explanation:

Given that y = 5\cdot x + 11 and t = 2-x, the parametric equations are obtained by algebraic means:

1) t = 2-x Given

2) y = 5\cdot x +11 Given

3) y = 5\cdot (x\cdot 1)+11 Associative and modulative properties

4) y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11 Existence of multiplicative inverse/Commutative property

5) y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11 Associative property

6) y = -5\cdot (-x)+11  \frac{a}{-b} = -\frac{a}{b} / (-1)\cdot a = -a

7) y = -5\cdot (-x+0)+11 Modulative property

8) y = -5\cdot [-x + 2 + (-2)]+11 Existence of additive inverse

9) y = -5 \cdot [(2-x)+(-2)]+11 Associative and commutative properties

10) y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11 Distributive property

11) y = (-5)\cdot (2-x) +21 (-a)\cdot (-b) = a\cdot b

12) y = (-5)\cdot t +21 By 1)

13) y = -5\cdot t +21 (-a)\cdot b = -a \cdot b/Result

14) t+x = (2-x)+x Compatibility with addition

15) t +(-t) +x = (2-x)+x +(-t) Compatibility with addition

16) [t+(-t)]+x= 2 + [x+(-x)]+(-t) Associative property

17) 0+x = (2 + 0) +(-t) Associative property

18) x = 2-t Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is x = 2-t and y = -5\cdot t +21.

5 0
3 years ago
How do you show this? I’m struggling to figure it out
denis23 [38]

Refer to the attached file.

Just replace cos2x with cos²x-sin²x

and work out.

I hope it helps u

4 0
3 years ago
Read 2 more answers
Joy wants to invest $6200 in a savings account that pays 4.4% simple interest. How long will it take for this investment to doub
Bezzdna [24]

Answer:

22.73

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Please help me out with this question thank you ❤️
    13·1 answer
  • Math Help Please and Thank ya!
    7·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br> brainliest will be given
    6·1 answer
  • Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5 Line 1: f(x) = 2(x2 − 8x) + 5 Line 2: f(x) = 2(x2 − 8x + 16) +
    11·2 answers
  • What is the value of x inthe equation 1/5×-2/3y=30, when y=15?
    10·1 answer
  • Please help me with step two!!!
    5·2 answers
  • Pleasaaaaseee answer the all for BRAINLEST answer and thanks
    6·2 answers
  • The following is an example of what type of sequence? 3, 11, 19, 27, 35...
    5·1 answer
  • 2, en un curso de 37 estudiantes se proponen a elaborar un cohete con material reciclado, para poder hacer los cohetes, en el cu
    5·1 answer
  • What are the domain and range of function w?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!