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
weeeeeb [17]
1 year ago
15

Can you help me pleeeeaaassee??

Mathematics
1 answer:
melamori03 [73]1 year ago
8 0

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD

Let's solve the given question:

Given that ΔTSR ≈ ΔTCD

So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.

So, ΔTSR ≈ ΔTCD

=> RT / TD = ST / TC

=> 14 / 7 = 16 / (x - 1)

In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.

The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

The third error is the value of x.

We can find the correct value of x from the given equation:

14 / 7 = 16 / (x - 1)

=> 2 = 16 / (x - 1)

Multiplying both sides by (x - 1):

(x - 1) × 2 = 16 / (x - 1) × (x - 1)

=> 2(x - 1) = 16

Multiplying both sides by 1 / 2:

2(x - 1) × 1 / 2= 16 × 1 / 2

=> x - 1 = 8

Adding 1 on both sides:

x - 1 + 1 = 8 + 1

x = 9

Therefore x = 9.

Hence the errors are:

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC

Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Know more about "similar triangles" here: brainly.com/question/14366937

#SPJ9

You might be interested in
What is 8.57x10-⁴ in standered form ?
marusya05 [52]

Kaleerain5,

In order to get your answer you must remember that if the exponent is negative move to the left and if the exponent is positive you have to move to the right.

  • 8.57 \times 10^{-4}
  • The exponent is negative so move to the left:
  • 8. = .8 = .08 = .008 = .0008
  • = .000857

Therefore your answer is ".000857."

Hope this helps!

6 0
3 years ago
I need help on question #1 asap
bekas [8.4K]
The answer is three. divide 48 by any number under 6 if there a decimal they don't count if there answer is over 20 it doesn't count
3 0
3 years ago
Read 2 more answers
What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10
siniylev [52]

Given:

The equation of a quadratic function is:

H(x)=-x^2+10x-11

To find:

The equation of the axis of symmetry for the given function.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then the equation of the axis of symmetry is:

x=-\dfrac{b}{2a}        ...(i)

We have,

H(x)=-x^2+10x-11

Here, a=-1,b=10,c=-11. So, the equation of axis of symmetry by using (i), is

x=-\dfrac{10}{2(-1)}

x=-\dfrac{10}{-2}

x=5

Therefore, the correct option is C.

8 0
2 years ago
Can someone help me with this math problem ?? Pls it’s for my final !
Airida [17]

Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft

So, the height of the antenna is equal to 221.87 feet.

4 0
2 years ago
A Russian mathmatician named Christian Goldbach came up with a theory that every even number can be written as the sum of two od
belka [17]
1 + 5 = 6
3 + 3 = 6

3 + 47 = 50
7 + 43 = 50
13 + 37 = 50
19 + 31 = 50
4 0
3 years ago
Other questions:
  • Which elevation is farthest from sea level (0 feet)?<br><br> 220 m<br> -80 m<br> 45 m<br> -120 m
    15·2 answers
  • Among cases of heart pacemaker malfunctions, were found to be caused by firmware, which is software programmed into the device.
    5·1 answer
  • An equilateral triangle has a perimeter of 15x3 33x5 feet. what is the length of each side?
    6·2 answers
  • PLEASEEEE Write an expression that contains at least two terms and is in simplest form.
    14·1 answer
  • 'Five times a number minus eight is 17.5.
    12·1 answer
  • Based on the table, what is the association between x and y?
    5·1 answer
  • X/5 - 12 = -8 x=? what​
    9·1 answer
  • A teacher buys a picture for the library. The teacher pays 10.5% sales tax on the original price of the picture. The original pr
    11·1 answer
  • Kendra has $50 to spend on mittens. she wants to buy as many as possible. If each pair cost $3 how much can see buy?
    8·2 answers
  • A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 45% pure anti
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!