Which theorem proves that the triangles are congruent?
A. AAS
B. SSS
C. SAS
D. ASA

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:

winno o 6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

f(x) = x^2 + 1

f(-1) = (-1)^2 + 1

f(-1) = 2

Answer:

f(x)=x^2+1

f(-1)=(-1)^2+1

f(-1)=1+1

f(-1)=2

Answer:

The formula  is [tex]R =\frac {V}{I}[/tex]

Step-by-step explanation:

The formula V = I R shows the relationship between voltage, current, and resistance.

It is given by the Ohm's law.

According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.

V = I R

where, V is the potential difference, I is the current and R is the resistance.

The resistance is given by

[tex]R = \frac{V}{I}[/tex]

Answer:

R = V over I

Step-by-step explanation:

Answer:

Rs. 300

Step-by-step explanation:

The bicycle marked price = Rs. 2000

The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921

The VAT applied = 13%

The amount given as the discount = Required

The VAT is applied to the selling price

Let d represent the discount amount, we have;

The selling price = 2000 - d

The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13

The amount the customer bought it including VAT = The selling price + The amount paid as VAT

The amount the customer bought it including VAT = Rs. 1921

∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d

1.13·d = 2,260 - 1,921 = 339

d = 339/1.13 = 300

The amount given as discount, d = Rs. 300

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

Answer:

Decreased

Strong negative

Step-by-step explanation:

The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

Answer:9z

Step-by-step explanation:10z-1z=9z

Answer:

the answer would be 3

Step-by-step explanation:

9z = 3

Answer:

(3,3)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.

Step-by-step explanation:

let the larger number = a,

and the smaller one = b.

a - b = 5 ==> a = b+5

2a + b = 7

2(b+5) +b=7

2b+10+b=7

3b= 7-10

3b = -3

b = -1

a = -1+5 = 4

Answer:

13.03 units

using distance formula which is

root under

(X\/2-X\/1)^2 + (y\/2-y\/1)^2

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

Answer:

y=1/2 , x= -5/8

Step-by-step explanation:

⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]

Answer:

no

Step-by-step explanation:

Proportional must go through (0,0)

0 = 2(0) +7

0 = 7

This is not true so this is not proportional

Answer:

14.3%

Step-by-step explanation:

subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%

Answer:

14.28 %

Step-by-step explanation:

cost price of an umbrella = 280

selling price of an umbrella = 320

profit% = SP - CP / CP *100%

=320 - 280/280 * 100

=40/280 * 100

=4000/280

=14.28

Answer:

(x,y)=(9,18)

Step-by-step explanation:

You can substract 10 from 100 ten times :)

Answer:

10

Step-by-step explanation:

100 - 10 = 90 ( 1 )

90 - 10 = 80 ( 2 )

80 - 10 = 70 ( 3 )

70 - 10 = 60 ( 4 )

60 - 10 = 50 ( 5 )

50 - 10 = 40 ( 6 )

40 - 10 = 30 ( 7 )

30 - 10 = 20 ( 8 )

20 - 10 = 10 ( 9 )

10 - 10 = 0 ( 10 )

we subtract 10 from 100 10 times

1) 36

2) 143

3) 18

4) 12

5) 15

6) 108

7) 58

The key here is to perform direct substitution in each problem.

I'll do a quick working down here

1) 9(8-4)= 9*4 =36

2) 4(5*4)+7*9= 80+63 =143

3) 114-(3*8*4)= 114-96=18

4) 24/(1*2) = 24/2 = 12

5) 19 - (28/7) = 19- 4 = 15

6) 3 (6)^2 = 3*6*6= 108

7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58

Answer:

3/2

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

people who like pistachio = 24

people who like vanilla = 36

ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36

=2/3

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

Answer:

they lost 12 games

Step-by-step explanation:

18÷3=6

6×2=12

Answer:

[tex]7 \times 1 + 5 - 2 \times 1 - 1 = 7 + 5 - 2 - 1 = 12 - 3 = 9[/tex]

Solution :

Given a quadratic equation :

[tex]ax^2+bx+c = 0[/tex]

Step 1 : [tex]ax^2+bx+c = 0[/tex]

Step 2 : [tex]ax^2+bx=-c[/tex]

Step 3 :  [tex]$x^2+\frac{b}{a}x = -\frac{c}{a}$[/tex]

Step 4 : [tex]$x^2+\left(\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]

Step 5 : [tex]$\left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]

Step 6 : [tex]$\left(x+\frac{b}{2a}\right)=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]

Step 7 : [tex]$x=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)} - \frac{b}{2a}$[/tex]

Step 8 : [tex]$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$[/tex]

Thus the derivation for finding the roots of a quadratic equations.

Answer:

B D A C

Step-by-step explanation:

Edge 2021

Answer:

F= 40

Step-by-step explanation:

F=ka

25 = k 5

k = 5

F=5a

F=5*8

F= 40

Answer:

0=0 1=1   6<8

Since 6 < 8  0.16 < 0.18

so, the hummingbird weighs more than a nickel

Step-by-step explanation:

6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.

The image to the question is attached below.

Answer: The value of EN is 11.2 cm

Step-by-step explanation:

We are given:

The parallelograms ABCD and EFGH are congruent, which simply means

AB = EF

BC = FG

CD = GH   and

AD = EH

Area of ABCD = area of EFGH

Also, opposite sides of a parallelogram are equal. Thus,

AB = EF = CD = GH

BC = FG = AD = EH

It is given:

[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]

To calculate the area of a parallelogram, we use the equation:

[tex]Area=b\times h[/tex]

where, for parallelogram EFGH

b = base = FG = 10 cm

h = height = EN = ?

Area = [tex]112cm^2[/tex]

Plugging values in above equation, we get:

[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]

Hence, the value of EN is 11.2 cm

Step-by-step explanation:

Given that,

Hypotenuse, H = 13

Base, b = 12

Perpendicular, P = 5

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]

[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]

and

[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]

Hence, this is the required solution.