determine if the triangles are congruent or not?

9514 1404 393

Answer:

  (b) angle FOA

  (c) angle EOA

  (d) angle AOH

Step-by-step explanation:

(b) The rays of vertical angles are opposites that form intersecting lines.

The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.

__

(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.

__

(d) Similarly, the supplement to angle BOH is angle AOH.

_____

Comment on supplementary angles

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

Answer:

oop

Step-by-step explanation:

Answer:

It is the 4th choice mark me brainliest

Step-by-step explanation:

Answer:

5.888 * 10^2

Step-by-step explanation:

3.56*102=363.12

2.17*104= 225.68

363.12+225.68= 588.8

Answer:

[tex]f(x)=6x[/tex] is a direct variation.

Step-by-step explanation:

Given the function

[tex]f(x)=6x[/tex]

We have to determine whether the equation [tex]y=6x[/tex] is a direct variation or not.

As we know that in direction variation, y and x increase or decrease by the same factor by the formula

[tex]y=kx[/tex]

where 'k' is the constant of variation

Given the function

[tex]y=6x[/tex]

Here 6 is the constant of variation            ∵ [tex]y=kx[/tex]

Also y and x increase and decrease by the same factor

For example,

when x=6, y = 6(x)=6(6)=36

when x=8, y = 6(x) = 6(8) = 48

Hence, when x increase, the y increases by the same factor.

Therefore, [tex]f(x)=6x[/tex] is a direct variation.

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

Answer:

12 animals per hour

Step-by-step explanation:

This is a fraction equal to

24 animals ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

24 animals ÷ 2

2 hours ÷ 2

=  

12 animals

1 hour

=  

12 animals

hour

= 12 animals per hour

Answer:

C) x=35

Step-by-step explanation:

First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:

4x + 2(3x+5) = 360

By now using our linear equation skills, we get:

10x+10=360

10x=350

x=35

The degree amount of x for c) is 35 degrees.

C. Since the angles form a linear pair, their sum equals 180.

So, 2x + 3x + 5 = 180

x=35

D. Since the angles are verticle, they equal each other.

So, 3x + 5 = 5x -57

x=31

Answer:

42?

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Multiples of 3 in this range: 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105

Multiples of 6 in this range: 66, 72, 78, 84, 90, 96, 102

Multiples of 7 in this range: 63, 70, 77, 84, 91, 98, 105

If we look at these multiples, we see that 84 is the only number to show up in every list. Meaning, the answer is 84.

Answer:

The fourth answer

Step-by-step explanation:

Answer:

{6,9}

Step-by-step explanation:

The table values are given as;

x   y

0  0

2  3

4  6

Take the values as coordinates in form of {x, y} , to have the following;

{0,0} , {2,3} , {4,6}

Find the slope using the coordinates as;

m=Δy/Δx

m=3-0/2-0 = 3/2

The slope m = 3/2

So from the answer choices, the coordinates that can give a slope of 3/2 will be:

{6,9}

The x coordinates increase by 2units while those of the y coordinates increase by 3 units.

Answer:

Yes, SAS

Step-by-step explanation:

The Triangle Congruence Theorem would be SAS as there are 2 equal sides with lines (AB = xy) and (BC = yz)

And there are is a pair of equal angles as they both have a 90 degree angle

= SAS

Answer: -993/50 or -19 43/50

Step-by-step explanation:

-19.86 = -19 86/100

-19 86/100 = -19 43/50

or -993/50

Answer:

.15

Step-by-step explanation:

Answer:

.15, 3/20

Step-by-step explanation:

Answer:

it is 3

Step-by-step explanation:

Answer:

Q = P/3

Step-by-step explanation:

Let the number of quarters be Q

Let the number of pennies be P

If the number of quarters is​ one-third the number of pennies, this can be expressed as;

Number of quarter = 1/3 of pennies

Q = 1/3 of P

Of means multiplication

The expression becomes;

Q = 1/3 × P

Q = P/3

Hence the formula relating Q to P is

Q = P/3

Answer:

Yessir he's coming soon

Step-by-step explanation:

Answer:

Well multiplication is the inverse of additon. And when multiplying you add the exponents.

So when dividing you subtract the exponents

Answer:

94.917

Step-by-step explanation:

6834/72 = 94.916666

Answer:

5200

Step-by-step explanation:

99.6 can be rounded to 100.

100*52 is 5200

Answer:

5200.

Step-by-step explanation:

Answer: 9 1/8x

Step-by-step explanation:

Answer:

12 i think?

Step-by-step explanation:

Answer:

The greatest common factor is 2x

Answer: 476

Step-by-step explanation:

204 miles/3 hours = 68 miles

68 miles x 7 hours = 476 miles

Answer:

[tex] - \frac{27}{7} [/tex]

Step-by-step explanation:

We want to get x alone so we need to get rid of the 7 in front of it.

7x=-27

Divide each side by 7

x= -27/7

This can't be simplified anymore so this is your answer.

Im not sure about the given data but I plotted the scatter plot based on what I understand on how the data should be presented.

Time (years)

3, 6, 9, 12, 15, 18, 21, 24

Number of participants(x1000)

22, 25, 28, 14, 17, 20,15, 9

Attached is the scatter plot created online.

x = time (years)

y = number of participantep explanation