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Alex73 [517]
3 years ago
5

Which of the following orderd pairs is a solution of x + 1/2 y = 1​

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

(-2,6)

Step-by-step explanation:

For an ordered pair (x,y) to be a solution to the equation given, we have to plug in x-coordinate in "x" and y-coordinate in "y" of the following equation and see if it is "1".

Whichever makes it true, is the correct answer.

Checking:

x+\frac{1}{2}y\\=(-2)+\frac{1}{2}(6)\\=-2+3\\=1

This is right.

We don't need to check the other two, the first one is the right option.

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Please help...given that elm and oak street are parallel, find m
jarptica [38.1K]

Answer:

<em>102°</em>

Step-by-step explanation:

(3x - 12)° + (2x + 2)° = 180°

5x - 10 = 180 ⇒ x = 38

m∠A = (3x - 12)°

<em>m∠A</em> = (3×38 - 12)° = <em>102°</em>

6 0
3 years ago
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Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement.
Step2247 [10]

Answer:

E

Step-by-step explanation:

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6 0
3 years ago
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
ziro4ka [17]

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

8 0
3 years ago
17% of students in a class have brown hair. If 6 students are chosen at random, what is the probability that exactly 3 have brow
dezoksy [38]

Answer:

6.8%

Step-by-step explanation:

the question has no information about class size (no. of student in class)

assume no. of student is infinite

P(3brown out of 6) = 6C3 * P(brown)^3 * P(not brown)^3

= 20 * 0.004913 * 0.695789

= 0.06837

3 0
2 years ago
Plsss help!!!<br>y = ??<br>X =???​
Lyrx [107]

Answer:

x=80* y=20* and X=100*

Step-by-step explanation:

If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.

We know that a triangle adds up to 180 degrees.

Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).

By opposite angles, QXP is equal to 80 degrees also.

Then we are left with solving for X.

Supplementary angles add up to 180 degrees.

Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.

8 0
3 years ago
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