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
padilas [110]
3 years ago
8

What is the length of side ac of the triangle

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

AC = 25

Step-by-step explanation:

Since ∠A = ∠C then the triangle is isosceles, thus BC and AB are congruent, that is

BC = AB, substitute values

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Hence

AC = 6x + 7 = (6 × 3) + 7 = 18 + 7 = 25

You might be interested in
Need answer quick please! Thank you
Fantom [35]
6 is the answer. 3(6-14)/-4 = 3(-8)/-4 = 3(-2) = -6.
Hope this helps, and have a great day!

8 0
3 years ago
Read 2 more answers
A similar follow-up study is done on a sample of 25 meat-lovers who never eat vegetables, again randomly selected from the same
Alona [7]

Answer:

The lower limit is  75.04

The upper  limit is  78.96

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 25

   The sample mean is  \=  x  =  77

    The standard deviation is  \sigma  =  5

Given that the confidence level is 95%  then the level of significance is mathematically represented as

        \alpha =  (100  - 95)\%

         \alpha = 0.05

The critical value for  \frac{\alpha }{2} obtained from the normal distribution table is  

     Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E =  1.96*  \frac{5 }{\sqrt{25} }

=>    E = 1.96

The 95% confidence interval is mathematically represented as

        \= x  -E <  \mu <  \= x  +E

=>   77 -  1.96  <  \mu < 77 +  1.96

=>   75.04 <  \mu < 78.96

   

7 0
3 years ago
una escalera de 12ft de longitud esta apoyada contra una pared, de modo que su base se encuentra a 4 ft de la pared a nivel del
Marrrta [24]

Answer:

Step-by-step explanation:

Altura = 11.312 pies

i) La escalera que descansa contra la pared formará un triángulo en ángulo recto.

ii) la escalera formará la hipotenusa del triángulo rectángulo dado por h = 12 pies.

iii) La base está dada por 4 pies.

iv) de la fórmula del triángulo en ángulo recto.

   base  = altura = \sqrt{hipotenusa^{2}\hspace{0.15cm}- \hspace{0.15cm} base^{2} }  = \sqrt{12^{2}\hspace{0.15cm} - \hspace{0.15cm}4^{2}  } = \sqrt{144\hspace{0.15cm} - \hspace{0.15cm}16} = \sqrt{128} = \hspace{0.15cm}8\sqrt{2} = 8\times1.414 = 11.312 pies

6 0
3 years ago
What is true of the function g(x)=-2x^2+5?
mart [117]

Answer:

C) The variable x represents the independent variable.

Step-by-step explanation:

The given function is g(x)=-2x^2+5.

g(x) is NOT the multiplication of g and x because g is a function of x.

x is the input of the function.

-2x^2+5 is the output of the function.

The variable x is called the independent variable because we plug in values of x to find g.

The variable g represents the output of the function NOT the input.

The correct choice is C

8 0
3 years ago
Mr Smith bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping
fiasKO [112]

We are given that the cost of each shirt = $12.25

It is given that she bought total 'x' shirts, each of cost $12,25.

So, the cost of 'x' shirts is  dollars

Also, there is a shipping charge of $3.99

So, the total cost of 'x' shirts is

Since, the shirts cost her total $77.49.

We have the equation,

12.25x + 3.99 = 77.49

4 0
3 years ago
Other questions:
  • If a scuba diver is experiencing 3.4 atmospheres of pressure, what is the depth of the diver?
    12·1 answer
  • Simplify. Assume that a is a positive integer and a&gt;2. (a-2)!/a!
    12·2 answers
  • What is the radius and diameter of the following circle?<br> 11 cm
    10·1 answer
  • How many cm are in 1 meter?Whate about 2 meter?
    12·2 answers
  • Find the x-intercept and y-intercept
    10·2 answers
  • Is the sequence geometric? If so, identify the common ratio. 1/5, 2/15, 4/45, 8/135, 16/405
    14·2 answers
  • What the distance between (2,1) and (-5,8)
    13·2 answers
  • Help the photo is right there!
    13·2 answers
  • I need help with only B pls
    6·1 answer
  • A. Kim pays $90 for every block of 5 dance classes. What rate can you write to represent this block of classes
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!