Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.
(ii) If two angles are supplementary, then the sum of their measures is ______.
(iii) Two angles forming a linear pair are _______________.
(iv) If two adjacent angles are supplementary, they form a ___________.
(v) If two lines intersect at a point, then the vertically opposite angles are always
_____________.
(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are
acute angles, then the other pair of vertically opposite angles are __________.

Answer:196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

Answer:

⅔ (option two)

Explanation:

on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.

i hope this helps! :D

Answer:

When you buy more expensive items or buildings it will raise your intrest so thats the difference look in between the two.

Step-by-step explanation:

Good luck on the rest of the quiz

Answer:

9

Step-by-step explanation:

Answer:

1498.78125 i used calculator

Step-by-step explanation:

Answer:

The population is all 600 members of the health club

Explanation:

50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.

Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

To learn more on number line click:

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Answer:

The second option

Step-by-step explanation:

Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.

Answer:

2

Step-by-step explanation:

in my opinion with out (0,0) there is no others

Answer:

x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

As,

-10 is always greater than -13

Hence, -13 < -10

Answer:

Step-by-step explanation:

20% of 49 = [tex]\frac{20}{100}*49=0.2*49=9.8[/tex]

Answer:

i dont know

Step-by-step explanation:

Answer:

slope:  [tex]\frac{1}{2}[/tex]

y-intercept: (0,-3)  

Step-by-step explanation:

First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:

[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]

Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].

In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).  

Answer:

C: 1

this answer is c because the line is one the Y intercept of 1

Answer:

[tex]x = 9[/tex]

[tex]y = 17[/tex]

Step-by-step explanation:

This is a cyclic quadralterial so opposite angles are supplementary.

The x variables add up to 180 so

[tex]11x + 8 + 8x + 1 = 180[/tex]

[tex]19x + 9 = 180[/tex]

[tex]19x = 171[/tex]

[tex]x = 9[/tex]

The y variables add up to 180.

[tex]6y - 4 + 5y - 3 = 180[/tex]

[tex]11y - 7 = 180[/tex]

[tex]11y = 187[/tex]

[tex]y = 17[/tex]

Answer:

Let's work this out.

n - 3 / n + 3

n / n + 6

In order to avoid it cancelling out, we only cancelled out one side.

2n = 6

n = 3

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

Firstly, we need to get the equation of the line segment

We have the general equation as;

y = mx + b

m is the slope and b is the y-intercept

So for the slope between (9,6) and (-2,-1); we have

m = (y2-y1)/(x2-x1)

m = (-1-6)/(-2-9) = -7/-11 = 7/11

Mathematically, when two lines are perpendicular, their slopes have a product of -1

Let the slope of the second line be m

m * 7/11 = -1

7m = -11

m = -11/7

The equation of the second line is;

y = mx + b

y = -11x/7 + b

The line passes through the point (3.5,2.5)

So,

2.5 = -11/7(3.5) + b

2.5 = -5.5 + b

b = 2.5 + 5.5

b = 8

so the y-intercept of the perpendicular bisector is 8

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

Step-by-step explanation:

For every page that Liam reads, Amir reads five, so if Liam read 12 pages, then Amir read 12 * 5 = 60 pages

Answer:

9 buses

12 cars

(Step-by-step explanation:

x=bus x+y=21 --> y=-x+21

30x+4y=318 --> y= -30x/4 + 318/4

y=car

x= 9

y=12

:) hope this help

Answer:

258

Step-by-step explanation:

There is a triangle and a parallelogram.

The triangle's area: 1/2 bh is 30

The parallelogram bh is 12*19

add them up and it is 258.

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Thanks!

Answer:

744; 1,206

Step-by-step explanation:

Prism 1:

2(19*13) + 5*12 + 2(5*19)

Multiply all the sides.

494 + 60 + 190 = 744

Prism 2:

2(20*9) + 2(18*20) + 9*14

360 + 720 + 126 = 1,206

Hope this helps (:

Answer:

she can get 11.5 but you have to round down so 11 roses and the vase

Step-by-step explanation:

Answer:

[tex]k=\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]

So, the constant of variation is [tex]\dfrac{5}{4}[/tex].

Answer:

12

Step-by-step explanation:

Factors of 30: 1,2,3,5,(6),10,15,30

Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

(5) + (7)= 12

Given:

[tex](\sin x)^2+(\cos x)^2=1[/tex]

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We have,

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

Putting this value in the Pythagorean identity, we get

[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]

[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]

[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]

[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]

[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]

Taking square root on both sides, we get

[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]

[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]

The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Answer:

Awnser #3

Step-by-step explanation:

Justr did it

Answer:

the answer would be A because that makes a straight line.

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10