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Alinara [238K]
3 years ago
5

Using paper folding to construct a line perpendicular to a given line through a point fold the paper through the point so that t

he given line segment lies:
A. Perpendicular to the paper's edge
B. On the point
C. At an angle
D. Upon Itself
Mathematics
2 answers:
Sonja [21]3 years ago
5 0
Correct answer: D. Upon Itself
A line segment has an angle that is exactly 180°. As perpendicular lines are lines meeting at the right angle, or 90°. If we then use paper folding to construct a line perpendicular to a given line, the given line should be directly above each other once folded.
Pavlova-9 [17]3 years ago
3 0

Upon Itself ~~~~~~~~~~~~~~~~~ APEX

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Anna went to the grocery store. She bought 3 oranges and 6 apples. She paid $4.50. Maria went to the same store and bought 2 ora
klemol [59]

Answer: The apple costs 0.45

Step-by-step explanation: Oranges will be x in our equations and Apples will be y.

Anna's equation is: 3x + 6y = 4.5 (1)

Maria's equation is: 2x + 2y = 2.1 (2)

As we need to find y, we need to cancel x, this way, we multiply equation (1) by 2 and equation (2) by 3.

3x + 6y = 4.5 (x2)

2x + 2y = 2.1 (x3)

__________________

6x + 12y = 9

6x + 6y = 6.3

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Now, we subtract them

6x + 12y = 9

-6x - 6y = -6.3

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6y = 2.7 → y = 2.7/6 → y = 0.45

3 0
3 years ago
Select all that apply.
garik1379 [7]
All but the first statement are true.

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In the equation y=kx, "slope" is the coefficient of x, thus y=-3x.
8 0
3 years ago
Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie
vlada-n [284]

Recall the double/half angle formulas:

\cos^2\dfrac x2=\dfrac{1+\cos x}2

\sin^2\dfrac x2=\dfrac{1-\cos x}2

We're given \sin u=\frac{24}{25}, and since u is between π/2 and π, we expect \cos u to be negative. So from the Pythagorean identity, we find

\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}

Also, we know \frac u2 will fall between π/4 and π/2, so both \sin\frac u2 and \cos\frac u2 will be positive. Then we find

\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35

\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45

and it follows that

\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43

8 0
4 years ago
Which of the following is an equivalent expression to the given expression using the commutative property of addition?
olga nikolaevna [1]
I think it’s the second equation (2x)y+5x
7 0
3 years ago
Read 2 more answers
Lines I and m are parallel. If angle a
aliina [53]
C. 145°

Explanation:

angles A and D are opposite adjacent.
6 0
3 years ago
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