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Sergio039 [100]
3 years ago
7

I am confused on what I need to do. someone please help?

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

x = 16

Step-by-step explanation:

Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.

<B is congruent to <E, therefore,

<B = <E

x + 15 = 6x - 65 (substitution)

Collect like terms

x - 6x = -15 - 65

-5x = -80

Divide both sides by -5

x = 16

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(-5/6) + c = (-11/12)
rosijanka [135]
<span>(-5/6) + c = (-11/12)
c=-11\12+5\6
c=19\12 or 1 7\12</span>
4 0
3 years ago
Read 2 more answers
Find the unit price
Mrac [35]

Answer:

Price per ounce is $0.062

Step-by-step explanation:

Here, we want to find the unit price in which this vase is price per ounce

Firstly, we need the total ounce value

1 pound = 16 ounce

so two pounds will be 2 * 16 = 32 ounces

So the total ounce value is 32 ounces + 8 ounce = 40 ounces

So 40 ounces = $2.48

price per ounce will be $2.48/40 = $0.062 per ounce

3 0
3 years ago
For triangles Y Z X and C D B, sides Y Z, Z X, C D, and B D are 2.5 centimeters. Sides B C and Y X are 3.8 centimeters. Angles B
zmey [24]

Answer:

the answer is C

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0
3 years ago
What number would you add to the equation below to complete the square?x2 + 4x = 0?
julia-pushkina [17]
------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)²  = 0   ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4 

------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) = \pm √4

------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) = \pm 2

------------------------------------------------------------------
Solve x 
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------



7 0
3 years ago
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