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3 years ago

Page No.

Mathematics

1 answer:

Alja [10]3 years ago

3 0

Answer:

The other angle is 60°

Their ratio is 1 : 2

Step-by-step explanation:

Let us revise some special angles

A pair of complementary angles is two angles their sum is 90°

A pair of supplementary angles is two angles their sum is 180°

In the question

∵ One angle of the pair of complementary angle = 30°

∵ The sum of the two complementary angles = 90°

→ Subtract 30° from 90° to find the other angle

∴ The other angle = 90° - 30° = 60°

∴ The other angle is 60°

To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form

∵ Their ratio = 30 : 60

→ Divide both sides by 10

∴ Their ratio = 3 : 6

→ Divide both sides by 3

∴ Their ratio = 1 : 2

∴ Their ratio is 1 : 2

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Mrs. Woods wants to give each of her 25 students a pencil on the first day

Nezavi [6.7K]

Answer

<h2><u><em>3 boxes</em></u> </h2>

Step-by-step explanation:

So she needs to give 25 pencils to each student.

1 box = 12

number of boxes = 25/12

=2.08

round it to 3

<h2><em>Therefore she need </em><u><em>3</em></u><em> boxes</em></h2>

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2 years ago

Which inequality is true?<br> O A. 107 > 30<br> B. +437<br> O C. 2 > 2<br> D. 8 - 7 > 5

qaws [65]

Answer: A

Step-by-step explanation: 107 is larger than 30

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3 years ago

Please help! "Indicate the equation of the given line in standard form. The line containing the midpoints of the legs of right t

julsineya [31]

Nice. We're not really told which is the right angle. We can tell from the squared distances:

$AB^2=(1 - -5)^2 + (1-5)^2=6^2+4^2=52$

$BC^2=(3-1)^2+(4-1)^2=2^2+3^2=13$

$AC^2=(3- -5)^2+(4 -5)^2=8^2+1^2=65$

We see $AC^2=AB^2+BC^2$ so B is the right angle.

That was preliminary and probably indicated in an associated figure.

Now we want the line through the midpoint of the legs, AB and BC, in standard form.

The midpoint of AB is the average of the coordinates of A and B:

$\left( \dfrac{-5 +1}{2}, \dfrac{5+1}{2} \right) = (-2,3)$

The midpoint of BC is

$\left( \dfrac{1 + 3}{2}, \dfrac{1 + 4}{2} \right) = ( 2, \frac 5 2)$

The line through those points is

$(y - 3)(2 - -2)=(x - -2)(\frac 5 2 - 3)$

$4y - 12 = (x+2)(- \frac 1 2)$

$8y - 24 = -x -2$

$x + 8y = 22$

That's the answer. Let's check it.

Midpoint of AB is (-2,3), -2 + 8(3)=22 good.

Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.

$\textrm{Answer: } x + 8y = 22$

4 0

3 years ago

Work out the size of angle x

Nikitich [7]

Answer:

x=129

Step-by-step explanation:

180-51=129

5 0

3 years ago

Please write a equation for this table

Hitman42 [59]

Answer:

y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

6, 30

-2, -10

0, 0

10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

y = 5x +2

6 0

2 years ago