Given that angle ABC is equal to 10 X +40 and angle DBC is equal to 3X +10 what is the measure of angle ABD

Step-by-step explanation:

Here, the number of people has beed increased.

→ Number of people increased = 71 - 48

→ Number of people increased = 23

[tex] \to \% \: change = \left ( \dfrac{23}{71} \times 100 \right ) \: \% \\ [/tex]

[tex] \to \% \: change = \left ( \dfrac{2300}{71} \right ) \: \% \\ [/tex]

[tex] \red{ \to \% \: change = 32.39 \: \%} \\ [/tex]

Therefore, percentage change is 32.39 %.

Answer:

B. There are infinitely many solutions to the system of equations,

Step-by-step explanation:

they are the same line look at image

Answer:

7x^2*(x-4)*(x+6)

Step-by-step explanation:

7x^4 + 14x^3 - 168x^2

common factor 7x^2

7x^2*( x^2+2x-24)

now we factor ( x^2+2x-24)

(x-4)*(x+6)

Solution

7x^2*(x-4(*(x+6)

The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

What is polynomial ?

The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given polynomial as:

7x⁴ + 14x³ - 168x²

There is a common factor 7x²

7x²( x² + 2x - 24)

To determine the factor of ( x² + 2x - 24)

⇒ 7x²( x² + 2x - 24)

⇒ 7x²( x² + 6x - 4x -24)

⇒ 7x²[x(x+6) - 4(x+6)]

⇒ 7x²(x-4)(x+6)

Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

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Answer: [tex]36.86^{\circ}[/tex]

Step-by-step explanation:

Given

Coordinates  of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]

Answer:

x = cost of each gift basket = $14.5

y = one time delivery fee = $135

Step-by-step explanation:

Let

x = cost of each gift basket

y = one time delivery fee

40x + y = 715 (1)

400x + y = 5935 (2)

Subtract (1) from (2)

400x - 40x = 5935 - 715

360x = 5220

x = 5220/360

x = 14.5

Substitute x = 14.5 into (1)

40x + y = 715 (1)

40(14.5) + y = 715

580 + y = 715

y = 715 - 580

y = 135

x = cost of each gift basket = $14.5

y = one time delivery fee = $135

Answer:

One Solution

Step-by-step explanation:

3(3x-1)=6x-3

9x-3 = 6x-3

9x-6x= -3+3

3x=0

3x/3 = 0/3

x=0

The solutions are there to the equation [tex]\rm 3(3x-1)=6x-3[/tex] is one solution.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

The given equation is;

[tex]\rm 3(3x-1)=6x-3[/tex]

The solutions are there to this equation is determined in the following steps given below.

[tex]\rm 3(3x-1)=6x-3\\\\9x-3=6x-3\\\\9x-6x=-3+3\\\\3x=0\\\\x=0[/tex]

Hence, the solutions are there to the equation [tex]\rm 3(3x-1)=6x-3[/tex] is one solution.

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Answer:

The answer for "b" is... B.

or 53˚

Step-by-step explanation:

Subtract 180 with 127

which is 53˚

Answer:

The correct answer is 7/20

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{x}{24}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10x = 120 ( divide both sides by 10 )

x = 12

Answer:

Members: 14 hope this helps ;)

Step-by-step explanation:

So, we see that there is 63 members (in all) so then we would do 2/9 x 63 = 14. We have 14 members playing a brass instrument

Answer:

90 yards

Step-by-step explanation:

413 - 323 = 90

Answer:

B

Step-by-step explanation:

[tex]3\sqrt{5}[/tex]

Answer:

You can use M a t h w a y. and you will get all the correct answers

Step-by-step explanation:

Hope this helps :)

Answer:

question 21:  29

question 16:  -1/729

question 15:  1/144

question 14:  1/64

question d=rt, solving for t:  answer is Letter G, t=d/r

Step-by-step explanation:

Hope this helps

Answer:

-12x^5 + 14x^3 -2x^2 + 10x

Step-by-step explanation:

-2x(6x^4 -7x^2 +x-5) =

-12x^5 + 14x^3 -2x^2 + 10x

Answer:

I believe this question is asking for which of the following equations fits the situation, however since there is no equations given I solved it below.

The answer is 5.3 t-shirts

Step-by-step explanation:

$100 - $20 = $80

Audrey has $80 to spend on t-shirts.

80 / 15 = 5.3

Audrey can buy 5.3 t-shirts

Answer:

a. K3080

Step-by-step explanation:

K2000×10/100=K200

K80×36months=2880

K2880+K200=K3080

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

The answer you are looking for is right here

Step-by-step explanation:

https://www.pinterest.com/pin/439734351089479667/

Answer:

It's 4+33-37 so that's the answer

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

inequality form:

d>-55

interval notation:

(-55, ∞)

Answer:

−11d−4<1

2

Suma 44 a ambos lados.

-\frac{d}{11}<1+4−11d<1+4

3

Simplifica  1+41+4  a  55.

-\frac{d}{11}<5−11d<5

4

Multiplica ambos lados por 1111.

-d<5\times 11−d<5×11

5

Simplifica  5\times 115×11  a  5555.

-d<55−d<55

6

Multiplica ambos lados por -1−1.

d>-55d>−55

Step-by-step explanation:

d>55

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and

[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and

[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are

[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and

[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

[tex]-8(t^2-6t+9)=-40+??[/tex]

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

[tex]-8(t^2-6t+9)=-40-72[/tex]

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

[tex]-8(t-3)^2=-112[/tex]

For the last step, add over the -112 and set it back equal to f(t):

[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

Not sure what the numbers are but the point is easy. On the horizontal line (x axis), go to point between -4 and -5. than draw a line up to the point 2 and 3 on the vertical line (y axis). Where the 2 line meet, that is where the coordinates are.

Answer:

I think the point should be plotted (between -4 & -5 in the X-axis) and (between 2 & 3 in the Y-axis)

Answer:

73

Step-by-step explanation:

I Gotchu!

180=90+17+x

90=17+x

73=x

73!

Answer: €800

Step-by-step explanation:

Since Joe gets 1.5 times the amount Tom gets and Tom is given a ratio with value 4, then Joe gets (4 × 1.5) = 6. Therefore, the ratio of Al, Tom and Joe will be 5:4:6.

Therefore, the amount that Tom gets will be:

= 4/(5+4+6) × €3000

= 4/15 × €3000

= €800

Therefore, Tom gets €800

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

Answer:

42 lbs

Step-by-step explanation:

1/6th of 42 is 7

now since the bulb weighs 294, we didvide by 7

so 294/ 7 is 42