B is the midpoint of segment AC. Which statement best describes the relationship between triangles ABD and CBD? (1 point)

Answers

Answer 1

The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'. Option A

What are similar triangles?

It is important to note the following;

"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."

The SSS congruence states that ; "Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."

SSS similarity postulates that;  "Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."

SAS similarity postulates that ; "Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."

SAS congruence postulates that ; "Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."

For given question,

We have been given triangles ABD and CBD.

B is the midpoint of line AC

⇒ AB = BC

For triangles ABD and CBD,

side AB = side CB; since, B is the midpoint of line AC

side BD = side BD ; they have common sides

side AD = side CD = 15 units each

So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.

Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'. Option A

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B Is The Midpoint Of Segment AC. Which Statement Best Describes The Relationship Between Triangles ABD

Related Questions

Find the nth taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 5

Answers

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Given:

f(x) = ln(x)

n = 4

c = 3

nth Taylor polynomial for the function, centered at c

The Taylor series for f(x) = ln x centered at 5 is:

[tex]P_{n}(x)=f(c)+\frac{f^{'} (c)}{1!}(x-c)+ \frac{f^{''} (c)}{2!}(x-c)^{2} +\frac{f^{'''} (c)}{3!}(x-c)^{3}+.....+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]

Since, c = 5 so,

[tex]P_{4}(x)=f(5)+\frac{f^{'} (5)}{1!}(x-5)+ \frac{f^{''} (5)}{2!}(x-5)^{2} +\frac{f^{'''} (5)}{3!}(x-5)^{3}+.....+\frac{f^{n} (5)}{n!}(x-5)^{n}[/tex]

Now

f(5) = ln 5

f'(x) = 1/x ⇒ f'(5) = 1/5

f''(x) = -1/x² ⇒ f''(5) = -1/5² = -1/25

f'''(x) = 2/x³  ⇒ f'''(5) = 2/5³ = 2/125

f''''(x) = -6/x⁴ ⇒ f (5) = -6/5⁴ = -6/625

So Taylor polynomial for n = 4 is:

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Hence,

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

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a=3. b=2

5ab+4b+10a

help please?​

Answers

Answer:

68

Step By Step Explanation:

Evaluate for a=3,b=2

(5)(3)(2)+(4)(2)+(10)(3)

(5)(3)(2)+(4)(2)+(10)(3)

=68

Answer:

The solution is 68

Step-by-step explanation:

a = 3 and b = 2

5ab+4b+10a

= 5(3)(2)+4(2)+10(3)

= 5(6)+8+30

= 30+8+30

= 38+30

= 68

Help!!! Brainliest to 1 or 2 answer!!

Answers

Answer:

35-17=3y

Step-by-step explanation:

3y+17=35

    -17  -17

3y=35-17

A monkey has a strict banana eating
schedule. On a sunny day it eats 20
bananas and on a rainy day it eats 12
bananas. In 8 consecutive days it eats
112 bananas. Question: how many
sunny days are there in these 8 days?

Answers

Answer:
Any way the monkey eats minimum 12 banas on each day of 8 days amointing=12*8=96 bananas

Excess bananas eaten=112–96=16

Monkey eats 8 bananas more on sunny days

number of sunny days=16/8=2 days

Number of sunny days in these 8 days=2 days

A photo below is being enlarged you a 24 negative by 30 inches current what is the scale factor being used to enlarge it

Answers

If a photo below is being enlarged you a 24 negative by 30 inches current. The scale factor being used to enlarge it is: 6.

Scale factor

Given:

Enlarged size=24 negative by 30 inches

Original size=4 in, 5 in

Using this formula

Let k represent the (ratio) scale factor being used to enlarge it

Scale factor/Enlarged size/Original size

Let plug in the formula

K=24/4

K=6

K=30/5

K=6

Therefore if a photo below is being enlarged you a 24 negative by 30 inches current. The scale factor being used to enlarge it is: 6.

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Use completing the square to solve for x in the equation (x 7) (x minus 9) = 25.

Answers

The values of [tex]x[/tex] are [tex]1+\sqrt{89}[/tex] and [tex]1-\sqrt{89}[/tex].

To find the values of x:

Given equation: [tex](x+7)(x-9)=25[/tex]

Then: [tex]x(x-9)+7(x-9)=25[/tex]

Using the distributive property: [tex]a.(b+c)=a.b+a.c[/tex]

[tex]x^{2} -9x+7x-63=25[/tex]

Combine like terms:

[tex]x^{2} -2x-63=25[/tex]

Subtract 25 from both sides and obtain:

[tex]x^{2} -2x-88=0[/tex]

Using completing square form:

Add and subtract [tex](\frac{2}{2} )^{2} =1[/tex] we have:

[tex]x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0[/tex]

Add 89 to both sides we have:

[tex](x-1)^{2} =89[/tex]

Taking square roots on both sides, obtain:

[tex]x-1=[/tex] ± [tex]\sqrt{89}[/tex]

Add 1 to both sides we have:

[tex]x=1[/tex]±[tex]\sqrt{89}[/tex]

Therefore, the values of [tex]x[/tex] are [tex]1+\sqrt{89}[/tex] and [tex]1-\sqrt{89}[/tex].

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

if the perimeter of an equilateral triangle is 24cm, find the length of it's side​

Answers

Since an equilateral triangle has 3 equal length sides, and in this case the total of these 3 sides is 24cm, the length of one side is 24/3 = 8cm

Answer:

it's side length equals to 8.

Step-by-step explanation:

Hello!

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

Perimeter: 3 x side of equilateral triangle

[tex]24 = 3 \times each \: sides[/tex]

divide both sides by 3

[tex]one \: of \: its \: side = 8[/tex]

Thus, as all the three sides equals to 8.

Hope it helps!

What is the domain of the exponential function shown in the graph?
A.x > -1
B.x ≤ -1
C. x < 0
D. -∞ < x < ∞​

Answers

The domain of the exponential function shown in the graph is -oo < x < oo

How to determine the domain of the exponential function shown in the graph?

The function on the graph is an exponential function.

The domain is the set of x values the function can take


From the graph, we have the following x values

Minimum x value = Negative infinityMaximum x value = Positive infinity

This means that the domain of x in the graph is -oo < x < oo

Hence, the domain of the exponential function shown in the graph is -oo < x < oo

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Divide. Write the quotient in lowest terms.
4 2/3 / 7

Answers

The quotient in lowest term exists 2/3.

What is an improper fraction?

An improper fraction exists as a fraction whose numerator exists equivalent to, larger than, or of equivalent or higher degree than the denominator.

Given the quotient: [tex]$4\frac{2}{3} \div 7[/tex]

Write [tex]$\frac{2}{3}[/tex] in improper fraction

[tex]$4\frac{2}{3}= \frac{14}{3}[/tex]

Dividing throughout by 7 on both sides of the equation, we get

[tex]$4\frac{2}{3} \div 7 = \frac{14}{3}\div 7[/tex]

Change the division sign to multiplication by taking the reciprocal of 7

[tex]$\frac{14}{3}\div 7 = \frac{14}{3} \times \frac{1}{7}[/tex]

Simplifying the above equation, we get

[tex]$\frac{14}{3}\div 7 = \frac{2}{3}[/tex]

Therefore, the quotient in lowest term exists 2/3.

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MULTIPLY (x^2-5x)(2x^2+x-3)

Answers

[tex]\bf{ (x^2-5x)(2x^2+x-3)}[/tex]

[tex]\bf{Distribute \ the \ sum \ group. }[/tex]

[tex]\boldsymbol{\sf{x^{2} (2x^{2} +x-3)-5x(2x^{2} +x-3) }}[/tex]

[tex]\bf{Expand \ the \ distribution \ of \ terms. }[/tex]

[tex]\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -5x(2x^{2} +x-3) }}[/tex][tex]\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -(10x^{3}+5x^{2} -15x) }}[/tex]

[tex]\bf{Remove \ parentheses. }[/tex]

[tex]\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -10x^{3}+5x^{2} -15x }}[/tex]

[tex]\bf{Collect \ like \ terms. }[/tex]

[tex]\boldsymbol{\sf{2x^{4}+(x^{3}-10x^{3})+(-3x^{2} -5x^{2} )+15x }}[/tex]

[tex]\bf{Simplify}[/tex]

[tex]\boxed{\boldsymbol{\sf{2x^{4}-9x^{3}-8x^{2} +15x }}}[/tex]

3. If the geometric mean of a and 25 is 20,
find the value of a.

Answers

Answer:

Value of a is 16.

Step-by-step explanation:

Solution Given:

we know that

Geometric mean=[tex]\sqrt{a*b}[/tex]

By using this formula

20=[tex]\sqrt{a*25}[/tex]

20=5[tex]\sqrt{a}[/tex]

dividing both side by 5, we get

20/5=5/5*  [tex]\sqrt{a}[/tex]

4=[tex]\sqrt{a}[/tex]

squaring both side

4²=a

:. a=16

sketch graphs of the following on the same plane using different colours y=2x-3;y=-3;x=-3;2x+3y-6=0​

Answers

The graph of the four linear equations is the one we can see below, such that:

Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.

How to graph the linear equations?

Here we have the set of linear equations:

y = 2x - 3y = -3x = -32x + 2y - 6 = 0

We want to graph these 4 lines on the same coordinate axis.

The line:

y = -3

Is an horizontal line at y = -3

The line:

x = -3

Is a vertical line at x = -3.

And the other two are common linear equations that are graphed in the usual way, then the graph of all the linear equations is the one you can see below.

Where:

Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.

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At a furniture manufacturer, worker a can assemble a shelving unit in 5 hours. worker b can assemble the same shelving unit in 3 hours. which equation can be used to find t, the time in hours it takes for worker a and worker b to assemble a shelving unit together? rate (shelving units per hour) time (hours) fraction completed worker a one-fifth t worker b one-third t 5 t 3 t = 1 one-fifth t minus one-third t = 1 one-fifth t one-third t = 1 5 t minus 3 5 = 1

Answers

If they work together, they need 15/8 hours to assemble one shelving unit.

What does work mean in math?

In summary, work is done when a force acts upon an object to cause a displacement. Three quantities must be known in order to calculate the amount of work. Those three quantities are force, displacement and the angle between the force and the displacement.

According to tittle, we know worker A can  assemble a shelving unit in 5 hours , which means worker A can finish 1/5 of work in 1 hour . And worker B can finish 1/3 of work in 1 hour.

If A & B work together , they will spend the same time t to assemble only one shelving .

That means,                  1/5t + 1/3 t = 1                         (equation)

1/5 t is worker A's workload during time t , 1/3 t is worker B workload.

So,   1/5 t + 1/3t = 1  is the answer

     ⇒ 5t + 3t = 15

     ⇒ t = 15/8 hours

If they work together, they need 15/8 hours to assemble one shelving unit.

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Answer:

Letter C is the correct answer or  1/5 t + 1/3t = 1

23-2(17+3^3)
Sjshjshdjsjshs

Answers

Answer:

-65

Step-by-step explanation:

23-2(17+3^3)

23-2(17+27)

23-2(44)

23-88

=-65

Please please please help

Answers

Answer:r=14°

Step-by-step explanation:

(5r-5)°+ (8r+3)°=180

(Sum of angles on a straight line =180°)

Collect like terms

5r+8r-5+3=180

13r-2=180

13r=180+2

13r=182

r=182/13

r=14°

If the vertex of a parabola is at the point (-2, 5), then the equation for the axis of symmetry for the parabola is x = -2. True or false?

Answers

Answer:

true

Step-by-step explanation:

thats really it i believe its true

What is the last digit of the product of all the numbers between 11 and 29?

Answers

we can conclude that the last digit of the product of all the numbers between 11 and 29 is 0.

What is the last digit of the product of all the numbers between 11 and 29?

Here we want to find the last digit of the product between all the whole numbers larger than 11 and smaller than 29.

Then we have the product:

P = 12*13*14*15*16*17*18*19*20*21*22*23*24*25*26*27*28

Now, notice that there is a 20 there.

Any number times 20 will end with a zero, then:

P = 20*(12*13*14*15*16*17*18*19*21*22*23*24*25*26*27*28)

Only with that, we can conclude that the last digit of the product of all the numbers between 11 and 29 is 0.

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10 points!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

23

Step-by-step explanation:

5 1/2 divided by 1 3/8

Answers

Answer:

4

Step-by-step explanation:

1. Convert from mixed number to fraction

[tex]5\frac{1}{2} =\frac{5(2)+1}{2} =\frac{11}{2}[/tex]

[tex]1\frac{3}{8}=\frac{(1)(8)+3}{8} =\frac{11}{8}[/tex]

2. Divide fractions

[tex]\frac{\frac{11}{2} }{\frac{11}{8} } =\frac{(11)(8)}{(11)(2)} =\frac{8}{2} =4[/tex]

Hope this helps

Use the polynomial [tex]4x^{5} -3x^{2} + x[/tex]
a. How many terms are in this polynomial? _____
b. What is the degree of this polynomial? _____
c. What is the contrast? _____

Answers

3 terms
The degree is 5
The contrast is -

what is the volume of a triangular pyramid that is 12 feet tall and has a base area of 5 square feet

Answers

The volume of the triangular prism as described is; 20 cubic foot.

What is the volume of the triangular pyramid?

A triangular pyramid refers to pyramid which has a triangular base

It follows from the formula for calculating the volume of a triangular prism that;

Volume = (1/3) × base area × height.

Consequently,

volume of the prism = (1/3) ×5 × 12

Volume = 20 cubic foot

Therefore, volume of the triangular prism as described is; 20 cubic foot.

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(x+3)^0 Rewrite the equation with positive exponents and simplify. x≠-3.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{(x + 3)^0}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{(x + 3)^0}[/tex]

[tex]\text{Anything raised to the 0 power it automatically equal to 1.}[/tex]

[tex]\huge\text{So, this mean that your answer should be: \boxed{\mathsf 1}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find lim f(x) if f(x)
x->5
=
{
-x² -1, x #5
-3, x=5

Answers

Given

[tex]f(x) = \begin{cases} -x^2 - 1 & \text{if }x \neq 5 \\ -3 & \text{if }x=5 \end{cases}[/tex]

we have

[tex]\displaystyle \lim_{x\to5} f(x) = \lim_{x\to5} (-x^2-1) = -5^2-1 = \boxed{-26}[/tex]

since we are approaching [tex]x=5[/tex], so effectively [tex]x\neq 5[/tex] and we use the definition of [tex]f(x)[/tex] under that condition.

area of an isosceles triangle is 60 square cm. If the measure of its equal sides is 13 square cm then find the base sides.

Answers

The base side of the isosceles triangle in discuss as described in the task content is; 10cm.

What is the length of the base side of the isosceles triangle?

According to the task content, the area of the isosceles triangle is 60 square cm.

Since, the length of its longest sides is 13 cm and since it follows from convention that the bisection of an isosceles triangle results in the formation of two right-triangles.

Consequently, it follows from Pythagoras triples that the height of each right triangle is 12 and its base is; 5.

Consequently, the base of the whole isosceles triangle is; 2 × 5 = 10cm.

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Which of the following values would complete the ordered pair if the point is on the graph of f(x) = -3x + 2?
(-1, )
0-1
05
01
0-5

Answers

The y-coordinate that completes the point exists 5.

What is an ordered pair?

An ordered pair (x, y) denotes the x-and-y coordinates of a general point, where x exists the input value of a function and y exists the output value of a function.

The output value exists y = f(x) and must be found using the rule (function) to the given input value.

In this case the rule exists f(x) = - 3x + 2, and the input value, x, exists - 1 (the first value of the ordered pair).

This exists the mathematical procedure:

x = - 1

f(x) = f (-1)

Then substitute the value x = -1 then

f(-1) = -3 (-1) + 2 = 3 + 2 = 5.

Therefore, the correct answer is option b) 5.

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pls help will mark this brainlest

Answers

Answer: D

Step-by-step explanation: The line of best fit is a straight line that passes through as many points as possible and has around the same number of points above and below it. D meets those requirements the best.

Answer:

Line D

Step-by-step explanation:

Line D is most fit because it intercepts more of the dots on the graph, if not, comes close to touching the majority of them.


Larry took 21 minutes to do 7 math problems. Mary took 19 minutes to do 8 math problems. Which student
did more problems per minute

Answers

The student that did more problems per minute is Mary since she only took 19 mins to do the 8 problems which is 2.4 minutes per question while Larry took 21 mins to do 7 math problems which is 3 minutes per question.

find the discriminant of the following quadratic equation
x^-5x+3=0

Answers

The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.

What is the discriminant of the quadratic equation as given in the task content?

According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.

By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.

We can consequently evaluate the determinant of the quadratic equation in discuss as follows;

Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12

Hence, the determinant in this case is; 13.

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A cell phone carrier introduced a new strategy to increase their number of subscribers. The function below represents the increase in number of subscribers, where f(t) represents the number of subscribers and represents the time in months

Answers

The cell phone carrier had 250 subscribers before the strategy was introduced. After the new strategy is introduced, the number of staffs increased by a factor of 1.4.

What is an equation?

An equation is an expression that shows the relationship between two numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f(t) represents the number of subscribers and t represents the time in months. Hence:

[tex]f(t) = 250(1.4)^t[/tex]

a = 250, b = 1.4

The cell phone carrier had 250 subscribers before the strategy was introduced. After the new strategy is introduced, the number of staffs increased by a factor of 1.4.

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Answer: 250,      1 month,      and    1.4

A company found that an experienced surveyor can survey a roadbed in 7 hours. An apprentice surveyor needs 8 hours
to survey the same stretch of road. If the two work together, find how long it takes them to complete the job.
***

Answers

The number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.

Rate of work

Hours it takes the experienced surveyor = 7 hoursSurveyors rate of work = 1/7

Hours it takes the apprentice = 8 hoursApprentice rate of work = 1/8

If the two work together;

Time taken for both to complete the task = Surveyors rate of work + Apprentice rate of work

= 1/8 + 1/7

= (7+8) / 56

= 15/56 hours

Therefore, the number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.

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