what additional information is required to prove triangle ABC congruent to triangle DCB by hypotenuse-leg?

Answer:

B

Step-by-step explanation:

Answer:

( 4, -1 )

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

(2,0) -> (6, -2) requires a transition of (+4, -2) now we divide the new number by 2 to find the amount changed from each side (+2,-1) then we add that to the original point (2,0) to get (4,-1)

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

now

AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units

AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

([tex] 4\sqrt{5} [/tex])²=2p²

16*5=2*([tex] 2\sqrt{10} [/tex])²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

Answer:

31

Step-by-step explanation:

x+y = 57

x = y+5

=>

y + 5 + y = 57

=> 2×y + 5 = 57

=> 2×y = 52

=> y = 26

=> x = 26 + 5 = 31

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

Answer:

1/243 or 0.00411522…

Answer:

D

Step-by-step explanation:

Answer:2/5

Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5

Answer:

10

Step-by-step explanation:

tan30°=P/B

tan30°=P/10√3

1/√3=P/10√3

1/√3×10√3=P

.:P=10

j = 10

Step-by-step explanation:

use the definition of tangent of an angle:

tan 60 = opp/hyp = (10√3)/j

Solving for j,

j = (10√3)/tan 60

But tan 60 = √3 so we can write j as

j = (10√3)/√3

= 10

Answer:

11/30, 2/5, 7/15, 1/2

Step-by-step explanation:

2/5= 0.4

11/30= 0.36

1/2= 0.5

7/15= 0.46

Answer: 235.5 feet

Step-by-step explanation:

In this case, we have to calculate the circumference of the track. The circumference will be calculated as:

= 2πr

Diameter = 75 feet.

Radius = 75/2 = 37.5 feet

Circumference = 2πr = 2 × 3.14 × 37.5 = 235.5feet

Answer:

Did you find It because I need it so can you reply please

Step-by-step explanation:

Answer:

You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.

Its pretty simple once you understand it

dont be afraid to ask me if you need some help.

Have a wonderfull day

Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

Answer:

It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one

The Equation for a sine graph is ASin[B(x-C)] + D

A=Amplitude

B= 2π/period

C= c value at the starting point.

D= y value at starting point

Let your Starting point be at the sinusoidal axis (Max + Min)/2.

Looking at this graph

Let's take 1cm on the y axis to be 1unit(1,2,3,4...)

On the x axis... let's take 1cm to be π units(π,2π,3π....)

To get the sinusoidal axis Max - Min/2

Since 1cm is 1unit

Max =1 (from the graph)

Min= -1

1-1/2 = 0

The axis is at the center of middle

Meaning

D=y=0(Its directly at the x axis)

From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.

A=amplitude = 1cm

B=Period...(Time to complete one Oscillation)

It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10

B=2π/Period.

B=2π/19/10

B=2π x 10/19

B=20π/19

C=0

Writing the Equation

Y= 1Sin[20π/19(x-0)] +0

ie

Y = Sin [20πx/19]

My thoughts on it

Correct me if wrong... Thanks

Answer:

a

Step-by-step explanation:

Answer:

The answer would be A .......

Answer:

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution

Step-by-step explanation:

From the given options the parameters of the equations are;

The slope of the equations are the same

The y-intercept of the equations are different

Therefore, the lines of the two equations ae parallel and there are no points of intersection of the two equations and therefore no solutions

The best correct option is therefore option C.;

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution.

Answer:

The correct answer to the problem is 9

Step-by-step explanation:

3 x- 1 = 26

3 x = 27

x = 9

Answer:

A) y=-1/2x+55

Step-by-step explanation:

We can clearly see a negative trend/association between the number of hot drinks sold on a given  day and the low temperature of that day. Therefore, the slope of the best line of fit must be negative, eliminating D and E. Also, notice that when the low temperature is 0°F, the number of hot drinks sold is about 55, which is a good indicator of our y-intercept or constant, eliminating choice C. Because the best line of fit is not so steep, the slope will be closer to 0 if it's a negative trend. This eliminates choice B, making the correct answer A.

Answer: 50.27 m

Step-by-step explanation:

[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]

Hope this helped! ;)

The circumferance of the given circle is C = 8π.

        x² + y² + 2gx + 2fy + c = 0.

        (x - x₁)² + (y - y₁)² = r²

        x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y =  - k + rsinθ.

Given is a circle that has a diameter of 8 meters.

We can write the circumferance of the circle as -

C = 2πr

C = 2π (d/2)

C = 2π (8/2)

C = 8π

Therefore, the circumferance of the given circle is C = 8π.

To solve more questions on circle, visit the link below -

https://brainly.com/question/28642423

#SPJ2

Answer:

area-  628    

circumference- 62.8

9514 1404 393

Answer:

  24 cm^2

Step-by-step explanation:

The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z

Answer:

0.009......sushhd

Step-by-step explanation:

14.991.....djdjsj

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

Answer:

25 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Area if a square = length²

225 =  length²

length = √225

length = 15

if the map is drawn to scale of 1 : 3

the length on the map = 15/3 = 5

area of the square 5 x 5 = 25

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!