If segment BD is congruent to segment BC, BD=5x-26, BC=2x+1, and AC=43, find AB

Step 1) Set up a proportion

Proportion: percent / 100 = x / number

In context of the problem, the proportion is: 40 / 100 = 10 / number

Step 2) Cross-multiply and solve

100 x 10 = 40 x N

1000 = 40N

N = 25

Answer: The number is 25

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]

Cross Multiply

[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]

Divide both sides of the equation by 40

[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]

Simplify

[tex]x = 25[/tex]

Answer:

D

Step-by-step explanation:

The solution to a system of equations is where the two equations intersect on a graph.

So, the solution to the system of polynomials graphed below would be where they intersect.

We can see that they intersect at (2,20)

Therefore, their solution is (2,20)

Our answer is D

Answer:

10x+3y+2

Step-by-step explanation:

The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

In the given question,

algebraic expression =  [tex]y^2+6y+8[/tex]

the value of the algebraic expression at y = -3

[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]

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Answer:

The correct options are;

B. AC and AD have the same length

D. Triangle BCE is isosceles

Step-by-step explanation:

From the diagram we have;

B. Segment AC and segment CD are the radii of the same circle with center C and radius AC, therefore, given that the radius of a circle is constant round a circle, we have;

The length of AC = The length of AD

D. In triangle BCE, we have the length of segment CB is equal to the length of segment CE which are both radii of the circle with center C and radius CE, therefore, the triangle BCE has two sides equal which gives triangle BCE is an isosceles, from the definition of isosceles.

Answer: 35

Step-by-step explanation: add the angles which is 90 and 55. then subtract it from 180. sorry for my bad english, it’s not my first language.

Answer:

y=38.75x

Step-by-step explanation:

Divide 310 by 8 which will give 38.75 and put it into linear relationship.

Answer: 10

Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers

60-50=10

Answer:

Domain: -2, 1

Range: -2, -4, 1

Step-by-step explanation:

A Domain is the first coordinate which is x

The Range is the second coordinate which is y

Hope This Helps :)

Answer:

  mantissa

Step-by-step explanation:

The word "mantissa" is used to describe the portion of the number that represents the significant digits in scientific notation.

__

The term also refers to the fractional portion of a logarithm. Of course, that fractional portion also represents the significant digits of the number. The integer portion of the logarithm is the power of 10 that multiplies the significant digits.

Answer:

Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.

Step-by-step explanation:

Given, the volume of the box, V = 180 feet cube

Let the height of the box, h = x feet

Therefore, length is, l = ( 9+x ) feet

And width is, b = ( x-4) feet

so volume of the box is

V = l x b x h

[tex]$ 180= (x+9) \times (x-4) \times (x)$[/tex]

[tex]$ x^3 +5x^2-36x -180 =0$[/tex]

Factorizing we get

(x+5)(x-6)(x+6)=0

Therefore,

x = -5, -6, 6

Now since the height of the box cannot be negative, so taking the positive value of x, we get

Height of the box, h = x = 6 feet

Length , l = ( 9+x ) = 9+6 = 15 feet

Width , b = ( x-4) = 6-4 = 2 feet

Answer:

3/4 divided 4=16 or 0.1875

Step-by-step explanation:

3/4 divided by 4 is easy all you would do is multiply the bottom number by what you are trying to divide which is 4 so you do 4x4 which is 16

Answer:

your answer is correct

Answer:

b = y - mx

Step-by-step explanation:

So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.

y = mx + b

Subtract mx from both sides.

y - mx = b

b = y - mx

So we have not solved for b. We have found that b = y - mx.

I hope you find my answer and explanation helpful. Happy studying. :)

29.12 is the perimeter.

Answer:

d = r * t

r = 50 mph

this will be very easy.

d = r * t

r = 50 mph

t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.

Answer:

250

Step-by-step explanation:

Answer:

3^18

Step-by-step explanation:

[tex](3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489[/tex]

Answer:

yes Dan and Tess have enough money because the price is 22.9075 after discount

Step-by-step explanation:

the  original price of the book=24.50

the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars

the price for the students is :  24.50-(24.5*15%)=20.825

the price to students +tax= 20.825+(20.825*10%)= 22.9075

she took 15 % from original price :24.50-(24.5*15%)=20.825

she took 10 % of discounted price :20.825.50*10%= 1.04125

adds it back to find the purchase amount:1.04125+20.825=21.86625

Dan takes 85% of the normal purchase price: 24.50*85%= 20.825

then compute 110% to the discounted price: 20.825*110%=22.9075

Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.

Answer:

h = 10 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh

Here A = 75 and b = 15, thus

[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )

15h = 150 ( divide both sides by 15 )

h = 10

Answer:

12 = x

Step-by-step explanation:

Symmetry here would involve subtracting the same quantity from both sides of the equation.

Starting with 2x + 5 = 3x -7,

subtract 2x from both sides.  This yields

                            5        = x - 7

Adding 7 to both sides yields

                   12 = x

Answer: C

Step-by-step explanation:

Answer:

(4, 5 )

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ), thus

B(- 4, - 5 ) → (4, 5 )

Answer:

the answer is c

Step-by-step explanation:

i just finished the lesson

Answer:

c

Step-by-step explanation:

Answer:

Answer is trinomial

Step-by-step explanation:

degree:3x^2 y2 +3xy2 + 5xy

=the degree of first term = 4

= the degree of second term=3

= the degree of third term = 3

:. the degree = 4

the answer is 4

Answer:

is there supposed to be a picture with it? i can't solve it without more information. sorry

Answer:

area = 2x² - 17x - 21

Step-by-step explanation:

Area of the rectangle is:

area = (width*length)

area = (x+7)*(2x-3)

        = x*2x + x*-3 + 7*2x + 7*-3

        = 2x² - 3x - 14x - 21

        = 2x² - 17x - 21

The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]

Given that,

We need to determine the area of the rectangle

As we know that

The area of the rectangle be

[tex]= length \times breadth\\\\= (2x - 3) (x + 7)\\\\= 2x^2 +14x - 3x - 21\\\\= 2x^2 + 11x - 21[/tex]

Therefore we can conclude that The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]

Learn more about the rectangle here: brainly.com/question/16939594

Answer:

the domain is 5 and the range is 10

Step-by-step explanation: