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Masteriza [31]
3 years ago
12

Consider the following system of equations:

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

Liney=-2x+3 intersects line y=x-5

Step-by-step explanation:

We are given that

y=-2x+3

y=x-5

Subtract one equation from other then we get

-3x+8=0

3x=8

x=\frac{8}{3}

Substitute the value of x in first equation then we get

y=-2(\frac{8}{3})+3=-\frac{16}{3}+3=-\frac{-7}{3}

Hence, the solution (\frac{8}{3},-\frac{7}{3}) is the intersection point of two line  equations .

Answer:Liney=-2x+3 intersects line y=x-5

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PLEASE HELP ME
olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C  = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

<u>The value of x:</u>

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

\angle A+\angle C=180^{\circ}

Substituting the values, we have,

2x+3+2x+1=180

             4x+4=180

                   4x=176

                     x=44

Thus, the value of x is 44.

<u>Measure of ∠A:</u>

Substituting x=44 in ∠A = (2x + 3)°, we get,

\angle A=(2(44)+3)^{\circ}

     =(88+3)^{\circ}

\angle A=91^{\circ}

Thus, the measure of angle A is 91°.

<u>Measure of ∠C :</u>

Substituting x=44 in ∠C = (2x + 1)°, we get,

\angle C=(2(44)+1)^{\circ}

     =(88+1)^{\circ}

\angle C=89^{\circ}

Thus, the measure of angle C is 89°.

<u>Measure of ∠D :</u>

Substituting x=44 in ∠D = (x - 10)°, we get,

\angle D=(44-10)^{\circ}

\angle D=34^{\circ}

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0
3 years ago
What is 9 3/4 as a percentage
Genrish500 [490]

First, turn the fraction into a decimal.

9.75

Second, multiply by 100%.

9.75 * 100% = 975%

Best of Luck!

5 0
3 years ago
A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

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3 years ago
The functions f(x) = –(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using the completing-the-square method. Is the ve
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You determine whether the parabola opens upward, with a positive x^2.  It opens downward with a negative x^2.
f(x) is a maximum
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First person to answer gets brainliest find the domain and range of the following absolute functions . F(x)=|x+6|
SVETLANKA909090 [29]

Answer:

yes

Step-by-step explanation:

4 0
2 years ago
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