3. Which of the following is equivalent to
3-3

Answer:

Yes they are congruent and it is explained below

Step-by-step explanation:

There are 5 postulates when testing for congruency and they are;

SSS, SAS, ASA, AAS and HL.

S represents side

A represents angle

H represents hypotenuse

L represents leg

Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.

Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.

Thus, they are congruent.

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Answer:

40.2

Step-by-step explanation:

To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.

This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer

Answer:

6w83ywytahausjsshshfwgwyee

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

Answer:

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x = 20 students

Step-by-step explanation:

In a class of 37 students, the number of students who like marshal arts only is

double than the number of students who like athletics only. If 3 students like both

and 4 like none of the games, find out how many students like:

i. Marshal arts

ii. Athletics​

Total students in the class = 37

number of students who like Athletics only = x

number of students who like marshal arts only = 2x

Number of students who like both = 3

Number of students who like none = 4

Total = athletics + marshal art + both + none

37 = x + 2x + 3 + 4

37 = 3x + 7

37 - 7 = 3x

30 = 3x

x = 30/3

x = 10

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x

= 2(10)

= 20 students

Answer:

40

Step-by-step explanation:

The first step is to calculate the base area of the prism

= 15×30

= 450

The volume is then calculated as follows

= 450×h

= 450h

The capacity is 18 liters

= 18×1000

= 18,000

Therefore the height of the rectangular prism can be calculated as follows

450h= 18,000

h= 18,000/450

= 40

Hence the height is 40 cm

Given:

The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex].

To find:

The least common multiple of given expressions.

Solution:

The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex]. The factor forms of these expressions are:

[tex](x+1)=1\times (x+1)[/tex]

[tex](x-1)=1\times (x-1)[/tex]

[tex](x^2-1)=(x-1)(x+1)[/tex]                 [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

The least common multiple is the product of all distinct factors with its highest degree. So,

[tex]L.C.M.=1\times (x+1)\times (x-1)[/tex]

[tex]L.C.M.=(x+1)(x-1)[/tex]

[tex]L.C.M.=x^2-1^2[/tex]                [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]L.C.M.=x^2-1[/tex]

Therefore, the least common multiple of given expressions is [tex]x^2-1[/tex].

Answer:

√74

Step-by-step explanation:

49 + 25

if brainly deletes this answer, i swear this community is going down in the dumps

Answer:

[tex]\sqrt{74}[/tex] = 8.6

Step-by-step explanation:

use distance formula

points are (4,2) and (-3,-3)

d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]

substitute points into formula

Answer:

y = 3x - 7

Step-by-step explanation:

The line rises 3 in y for every run of 1 in x

slope = 3

The y-intercept

is -7

Therefor

y = 3x - 7

Answer:

56

Step-by-step explanation:

Answer:

1st entry: 41

3rd entry: 17

Step-by-step explanation:

The 1st and 3rd entry are incorrect.

We will use the following for the 1st and 3rd:

[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]

[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]

where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.

Let's do part 1 now)

25+4+2(6)

29+12

41

Let's do part 3 now)

25+4-2(6)

29-12

17

Answer:

55

Angle C is a inscribed angle of the of Arc Ba.

CA is the diameter so that means Arc BA equal 110 becuase

110+70=180.

Angle C is half of Arc BA so Angle C is

[tex]55[/tex]

Answer:

m anglw ABD answers is 50 degree

Answer:

It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

Answer:

1) yes

2) no

Step-by-step explanation:

1)

[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]

This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.

2)

[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]

[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]

This is incorrect because the numerator multiplied is different from the denominator multiplied.

-------------------------------

[tex]\frac{1}{2}[/tex] =  [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...

Sorry I didn't know how to explain that much but I hope you understand.

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

1. 3

2. 1

3. 2

4. 4

5. 5

Step-by-step explanation:

Answer:

(Altitude)^2+(Base)^2=(Hypotenuse)^2

Answer:

The two triangles are similar.

What is the value of x?

Enter your answer in the box.

x=

The value of x is 7 units.

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given :

AD = 6 units , BD = 8 units, m∠ABC = m∠DBE = 90° and              

∠DEB ≅ ∠ACB

Now, AB = AD + BD

              = 8 + 6 = 14 units

Now, In ΔABC and ΔDBE,

∠DBE = ∠ABC ( Each of 90° )

∠DEB = ∠ACB ( given )

So, By using AA postulate of similarity of triangles , ΔABC ~ ΔDBE

Now, proportion of the corresponding sides will be equal.

AD/ DB= BC/ BE

14/8 = 3x/ 2x-2

4x= 28

x= 7

Hence, the value of x is 7 units.

Learn more about similarity of Triangle here:

https://brainly.com/question/11923416

#SPJ6

Answer:

$405

Step-by-step explanation:

Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min

4 hrs 25 min = 265 minutes

2 hrs 15 min = 135 min

Donny's share = [tex]\frac{135}{400} of 1200[/tex]

                        [tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]

Because some of the athletes participated in more than one event.

Answer:

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

so a2 = a3 = 39

a1=102, a2=39, a3=39

Step-by-step explanation:

a1=102

a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

Answer:

$150.5

Step-by-step explanation:

CP of an item = $140

sales tax rate = 7.5%

sales tax amount = sales tax rate of CP

=7.5% of CP

= 7.5/100 * $140

=$1050/100

=$10.5

total cost with tax = CP + tax rate

=$140 + $10.5

=$150.5