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Natali [406]
3 years ago
6

Help with this question!Please

Mathematics
2 answers:
Sedbober [7]3 years ago
5 0

Answer:

x = 14 for the first one, x = 60 for the second one

Step-by-step explanation:

tamaranim1 [39]3 years ago
3 0

Step-by-step explanation:

We know the measure of a straight line is 180° . So that ,

> 5x - 10 + 120 = 180

> 5x = 60 + 10

> 5x = 70

> x = 70/5

> x = 14

<u>Solution</u><u> 2</u><u> </u><u>:</u><u>-</u>

> x + 50 + 70 = 180

> x = 180 - 120

> x = 60

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navik [9.2K]

Answer:

is B and E. They both equal 81

7 0
3 years ago
What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (−6, 9)?
Ludmilka [50]

The equation of the line will be equal to 3y = -x + 21.

A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.

Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as

(y - 9) = -1/3 (x + 6)

3y - 27 = -x - 6

=> 3y = -x + 21 which is the required equation of line.

Learn more about Slope intercept form at:

brainly.com/question/9317111

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7 0
1 year ago
Rectangle RSUT has diagonals that meet at point x.
Stels [109]

Answer:

x=12.5

y=10

Step-by-step explanation:

Properties of rectangle:

  • Opposite sides are congruent
  • All angles are right angles
  • Diagonals bisect each other
  • Diagonals are of equal length

so from the properties we came to know that diagonals bisects each other and diagonals are of equal length  

Given Rectangle RSUT has diagonals that meet at point X.

⇒RX=SX=UX=TX=\frac{1}{2}RU=\frac{1}{2}ST

⇒RX=\frac{1}{2}ST

⇒4x=\frac{1}{2}(100)

⇒x=12.5

Also XU=RX

⇒(4)(12.5)=5y

⇒5y=50

⇒y=10

3 0
3 years ago
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with
Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question, we have that:

n = 7, p = 0.5

Find the probability that the number of correct answers is fewer than 4:

This is

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078

P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547

P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641

P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5

So

P(X < 4) = 0.5

6 0
3 years ago
Rational number, integer -5 What is the fraction?
Pavlova-9 [17]

Answer:

<h2>The answer would be negative five over one or -5/1 </h2>

8 0
3 years ago
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