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Andrei [34K]
3 years ago
6

What is the value of x? Please explain the step process to getting to the conclusion.

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

Answer:

x = 71

Step-by-step explanation:

Since this is an isosceles triangle, both sides are 21 units long, both angles are going to measure x at the bottom of the triangle.

The three angles of the triangle sum to 180 degrees

x+x+38 = 180

2x +38 =180

Subtract 38 from each side

2x+38-38 =180-38

2x = 142

Divide each side by 2

2x/2 =142/2

x = 71

olga55 [171]3 years ago
4 0

First, split the triangle into half.

So the angle 38 becomes 38/2=19.

So we know two angles in the triangle:

One is 19 degrees.

The other one is 90 degrees (marked red).

The angles in a right-angled triangle add up to 180 degrees.

So to find the x angle, we calculate it by:

180 - (90+19) = 71

(the sum of three angles) - (the sum of the two known angles) = unknown angle

So x = 71 degrees.

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June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or eq
Fittoniya [83]

Answer

it is A

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
a parabola has x intercepts of -1 and 3 it passes through the point (1,6) write the equation if the parabola
matrenka [14]

\boxed{f(x)=-\frac{3}{2}x^2+3x+\frac{9}{2}}

<h2>Explanation:</h2>

The Standard Form of the equation of a parabola is given by the form:

y=ax^2+bx+c

As y is a function of x, then we can write:

y=f(x)=ax^2+bx+c \\ \\ a, \ b, c \ Real \ Coefficients

Also, we can write f(x) in factored form as:

f(x)=a(x-x_{1})(x-(x_{2}) \\ \\ x_{1} \ and \ x_{2} \ Are \ the \ roots

In this case:

x_{1}=-1 \\ \\ x_{2}=3

So:

f(x)=a(x-(-1))(x-3) \\ \\ f(x)=a(x+1)(x-3)

We also know that the parabola passes through the point (1,6):

f(1)=6=a(1+1)(1-3) \\ \\ Isolating \ a: \\ \\ 6=a(2)(-2) \\ \\ 6=a(-4) \\ \\ a=-\frac{6}{4} \\ \\ a=-\frac{3}{2}

Finally, the equation of the parabola is:

f(x)=-\frac{3}{2}(x+1)(x-3)

Or applying Distributive Property:

f(x)=-\frac{3}{2}\left(x^2-2x-3\right) \\ \\ \boxed{f(x)=-\frac{3}{2}x^2+3x+\frac{9}{2}}

<h2>Learn more:</h2>

Piecewise-defined function: brainly.com/question/12169258

#LearnWithBrainly

3 0
3 years ago
A survey finds customers are charged incorrectly for 44 out of every 10 items. Suppose a customer purchases 1414 items. Find the
seropon [69]

Answer:

The probability that the customer is charged incorrectly on at most 2 items is 3.979 × 10⁻².

Step-by-step explanation:

To solve the question, we note that we proceed with the binomial distribution formula as follows

Number of times the customer is incorrectly charged out of ever 10 items = 4

Therefore, the probability that the customer is incorrectly charged is 4/10 = 0.4

That is p(incorrect) = 0.4

Then the probability that the customer is charged incorrectly on at most 2 items is

P(x≤2) = P(x=0) + P(x=1) + P(x=2)

          = ₙC_r × p^r×q^{(n-r)} =

        P(x=0)   = ₁₄C₀ ×0.4⁰× 0.6¹⁴ =  7.836 × 10⁻⁴

        P(x=1)   =  ₁₄C₁ ×0.4¹× 0.6¹³ =  7.314 × 10⁻³

       P(x=2)  =   ₁₄C₂ ×0.4²× 0.6¹² =  3.169 × 10⁻²

∴ P(x≤2) = 7.836 × 10⁻⁴ + 7.314 × 10⁻³ + 3.169 × 10⁻² = 3.979 × 10⁻²

       P(x≤2) = 3.979 × 10⁻².

5 0
3 years ago
HELP!...................................................
DaniilM [7]

Answer:

1.6 hrs remaining, or 3.12 km/h

Step-by-step explanation:

7 0
2 years ago
Yamri went to the store to buy gardening supplies. A bag of dirt was $3.99 and tulips cost 75 cents per bulb. He bought one bag
seraphim [82]
3.99 + 0.75b = 12.24
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0.75b = 8.25
b = 8.25 / 0.75
b = 11.....there were 11 bulbs
8 0
3 years ago
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