Given the figure below. What is the theorem or postulate that justifies triangle ABD congruent
to triangle CBD?

Answer:

a rectangle

Step-by-step explanation:

i made my own graph on paper

Solve equation [2] for the variable y

[2] 2y = -5x + 1

[2] y = -5x/2 + 1/2

// Plug this in for variable y in equation [1]

[1] 7x - 3•(-5x/2+1/2) = -5

[1] 29x/2 = -7/2

[1] 29x = -7

// Solve equation [1] for the variable x

[1] 29x = - 7

[1] x = - 7/29

// By now we know this much :

x = -7/29

y = -5x/2+1/2

// Use the x value to solve for y

y = -(5/2)(-7/29)+1/2 = 32/29

Solution :

{x,y} = {-7/29,32/29}

Split it into two rectangles:

6 x 2 x 2 = 24

3 x 2 x 2 = 12

Now add:

24 + 23 = 36 cubic feet

Answer:

The first number is 14

The second number is -3

Step-by-step explanation:

x + 2y = 8

2x + y = 25

Solving simultaneously,

2x + 4y = 16

2x + y = 25

On subtracting, we have

3y = -9

y = -3

Going to substitute for y, we have

x + 2(-3) = 8

x - 6 = 8

x = 14

Answer:

Figure D is regular polygon.

Answer:

YEs

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Yes, a right triangle can have side lengths 5, 12, and 13.

can i get brainleist plz

Answer:

3

Step-by-step explanation:

105/7hrs

15/1hr

15/60min

0.25/per minute

0.25*12

= 3

Answer:

The difference is

Step-by-step explanation:

Given

Large triangle

[tex]Base = 5cm; Height=9cm[/tex]

Small triangle

[tex]Base = 2cm; Height=6cm[/tex]

See attachment for logo

Required

The difference in their areas

Area is calculated as:

[tex]Area = 0.5 * base * height[/tex]

For the large triangle

[tex]Area = 0.5 * 5cm * 9cm[/tex]

[tex]Area = 22.5cm^2[/tex]

For the small triangle

[tex]Area = 0.5 * 2cm * 6cm[/tex]

[tex]Area = 6cm^2[/tex]

The difference (d) is calculated as:

[tex]d = 22.5cm^2 - 6cm^2[/tex]

[tex]d = 16.5cm^2[/tex]  

Answer:

median is 6(sub2pewdiepie)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a² + b² = c²

side1² + side2²  = hypotenuse²      side 1 = 6.75       hypotenuse = 11.25

                                                        solve for     side 2 = ???

side2²  =  hypotenuse²  -  side1²

side2  =  [tex]\sqrt{hypotenuse^2 - side1^2}[/tex]

          = √(11.25² - 6.75²)

          = √(126.56 - 45.56)

          = √(81)

side 2 = 9

Answer:

x is less than or equal to 7

Step-by-step explanation:

Answer:

-6 2/3

Step-by-step explanation:

Won't waste your time with an explanation since this is a multiple choice question.

Answer:

Y = 50 degrees, X = 60 degrees

Step-by-step explanation:

Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.

Answer:

Step-by-step explanation:

Given:

The volume of a cylinder is 95 cubic centimetres.

To find:

The equation that can be used to find h, the height of the cylinder.

Solution:

We know that, the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].

Now, volume of the cylinder is

[tex]V=Bh[/tex]

The volume of a cylinder is 95 cubic centimetres.

[tex]95=Bh[/tex]

[tex]\dfrac{95}{B}=h[/tex]

[tex]h=\dfrac{95}{B}[/tex]

Where B is the base area of the cylinder.

Therefore, the correct option is G.

Answer:

1.) 1.12/10= 1 2/10= 1.2%       10*1.2%=12

2.) 8/10=0.80%                     10*0.80=8

3.)10/12=0.83%                     12*0.83=10    

%*whole

Answer:

Step-by-step explanation:

We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.

Cos (45) = x/10

10 * Cos (45) = 10 * (√2 / 2)

This should equal to 5√2

Answer:

3 & 5

Step-by-step explanation:

The value of point estimate is 101.5 and value of margin of error is 10.9 gram if the Lindsey purchased a random sample of 25 tomatoes at the farmers market.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

Let's suppose m is a point estimate and ME is the margin of error.

The structure of the confidence interval is:

(m—ME, m + ME)

The given confidence interval is (90.6, 112.4)

Then, m—ME = 90.6 ..... (1)

m + ME = 112.4 ..... (2)

After solving equation (1) and (2) we get:

m = 101.5

ME = 10.9 grams

Thus, the value of point estimate is 101.5 and value of margin of error is 10.9 gram if the Lindsey purchased a random sample of 25 tomatoes at the farmers market.

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Answer:

12.1 cm

Step-by-step explanation:

Answer: 628 cubic feet

Step-by-step explanation: First, find the area of the circle. Using the formula "TTr^2", you can find the area of the circle. Since the diameter is given, and not the radius, divide 10 by 2, and it gives you 5. Now, use the formula. 5 x 5 = 25, and then multiply it by 3.14 which gives you 78.5. Now that we have found the area of the circle, multiply the area by 8 to find the volume of the cylinder. 78.5 x 8 is 628 cubic feet, and that is the volume of the cylinder.

Answer:

Ratio (r) = 2

n = 7

Step-by-step explanation:

The formula for the sum of the nth term of a G.P is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

The sum of the reciprocal is 127/64

The formula is inverted , hence:

Sn = 1/a(1-r^n)/(1-r)

127/64 = r^(1-n)(1-r^n)/(1-r)

Hence:

1/64 = r^(1-n)

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r = 2

n = 7

Answer:

that is what it would look like

Hope it helps!❤❤

Answer:

5t + 4y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Base area * height

Answer:

i think that the answer is BH or Base area × Hight

Answer:

5.1

Step-by-step explanation:

thats what i got on savvas hope this helps!

The distance between the points​ S(2.3,4.8) and​ T(6.4,7.9) is 5.14 units.

Distance between two points is the length of the line segment that connects the two points in a plane.

Given that, two points S(2.3,4.8) and​ T(6.4,7.9), we need to find the distance between them,

The distance between the two points =

D = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here, (x₁, y₁) and (x₂, y₂) are S(2.3,4.8) and​ T(6.4,7.9)

So,

D = [tex]\sqrt{(6.4-2.3)^2+(7.9-4.8)^2}[/tex]

= [tex]\sqrt{(4.1)^2+(3.1)^2}[/tex]

= [tex]\sqrt{26.42[/tex]

= 5.14

Hence, the distance between the points​ S(2.3,4.8) and​ T(6.4,7.9) is 5.14 units.

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Answer:

-2/3

Step-by-step explanation:

2-4 / 2-(-1)

2-4 / 2+1

-2/3