If the angle ABC=60 and angle ABD=2x+4 and angle DBC=x-10, slove for x.

Answer:

Step-by-step explanation:

x^2 - 4x - 5 = 0

(x - 5)(x + 1) = 0

x - 5 = 0

x = 5

x + 1 = 0

x = -1

We want to find the roots of a quadratic equation, to do that, we will use the Bhaskara's formula.

For an equation like a*x^2 + b*x + c = 0

The solutions are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Using that formula we will get that the solutions in ascending order are -1 and 5.

Now let's see how to get that:

We have expression: x^2 - 4x = 5

We can rewrite this as:

x^2 - 4x - 5 = 0

Now we can use the Bhaskara's formula to get:

[tex]x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*(-5)} }{2*1} = \frac{4 \pm6}{2*1}[/tex]

Then the two solutions are:

x = (4 + 6)/2 = 5

x = (4 - 6)/2 = -1

Then the solutions in ascending order are -1 and 5.

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Answer:

The value of A is 10.0 inches      The value of B is 35 inches

Step-by-step explanation:

Answer:

Angle 3 is 65

Angle 8 is 115

Step-by-step explanation:

Answer:

Levi must sell more than 80000 cars per month for the new job to be better than the current job.

Step-by-step explanation:

New Job;

He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.

Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.

Thus;

y = 800 + 0.02x - - - -(eq1)

Current Job:

He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.

Thus;

y = 1200 + 0.015x - - - (eq2)

Substituting 800 + 0.02x for y into eq(2) gives;

800 + 0.02x = 1200 + 0.015x

0.02x - 0.015x = 1200 - 800

0.005x = 400

x = 400/0.005

x = 80000

This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.

Answer:

x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).

Answer:

x ≤ 9

Step-by-step explanation:

4x – x + 8 ≤ 35

3x + 8 ≤ 35

3x ≤ 27

x ≤ 9

Answer:

total cost = 1.50x

Step-by-step explanation:

Given cost of 1 bagel = $1.25

Let the number of bagels purchased by x

cost of x bagels = cost of 1 bagel *x

cost of x bagels = 1.50*x

Thus,

relationship between bagels and total cost is as shown below

total cost = 1.50x

where x is the number of bagels purchased.

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is N(x) = 1.25x.

So N(4) =5, meaning 4 bagels will cost 5 dollars.

Please give me Thanks

Answer:

32 and 40

Step-by-step explanation:

Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72

Equation:

2x + 8 = 72

2x = 64

x = 32

So now we know the smaller number is 32, so now add 8 and we get 40.

Therefore the 2 numbers are 32 and 40

Answer:

10-5= 5

6-4=2

Step-by-step explanation:

subtracting

Answer:

10-5=5

6-4=2

Subtract 5 from the 10, which gets you 5.

Subtract 4 from 6, and you get 2.

Answer:

10 5/12 is the answer, hope this helps

Answer:

125/12 meters per second.

Answer:

1975....?

Step-by-step explanation:

3.860x10^3 - 1.885x10^3

Answer:

8

Step-by-step explanation:

apples are  2 x

bananas are  x -3

Oranges are  x

Total number of  Fruits  = 2 x + x + x -3 =29

3x+x = 29 +3

4x =32

x = 32/4

  =8 Oranges

Answer:

57/40 is the correct answer to this question

Answer: I believe yes

Step-by-step explanation:

Im sorry if this isn’t right but I believe it is

Answer:

a⋅0.5+10b+4=19.5=a=−20b+31 ‍♀️I think that's the way I'm not sure!

Answer:

the solutions are {1, -3/2}

Step-by-step explanation:

The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.

We are told that -3/2 is a solution and must find the other solution   To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:

-3/2     /     2       1        -3

                         -3        3

           -------------------------

                 2      -2        0

Since the remainder is 0, we have verified that -3/2 is a solution.  The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1).  Setting this result equal to zero yields x = 1.  

Thus the solutions are {1, -3/2}.

Answer:

1

Step-by-step explanation:

Took the Test edge 2021

Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

The safe load if the beam is turned on its side will be 240 pounds.

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

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To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .

= 16/40

= 16 ÷ 4 / 40 ÷ 4

= 4/10

= 4 ÷ 2 / 10 ÷ 2

= 2/5

Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .

Therefore , the fraction 16/40 = 2/5

Answer:

Y= -2x+4

Step-by-step explanation:

Answer: Its -9

Step-by-step explanation:

because 16 - 25 = -9

Answer:

112 ≤ T ≤ 158

Step-by-step explanation:

We need to convert the celsius temperature to Fahrenheit first.

The formula to use is

F = (C * 9/5) + 32

For 50 degrees Celsius

F = (50 * 9/5) + 32

= 90 + 32 = 112 F

For 70 degrees Celsius

F = (70 * 9/5) + 32

= 158 F

So the compound inequality is written as follows;

112 ≤ T ≤ 158

Answer:

so to know full price of granola bars and rice packs; you would multiply 1.09 × 4 for the rice which you get 4.36 then for granola bars you do 4.29 × 3 and you get 12.87 then you add 12.87 + 4.36 = 17.23 then you subtract this from the $$ Mr.Jones has which is 40 so its 40-17.23 and you get 22.77

Answer:

ASA congreunce

Step-by-step explanation:

Answer:

I believe the answer is B. Six problems per hr (hour)

Answer:

-7z+12b-4c or 12b-4c-7c

Answer:

m=5/4

Step-by-step explanation:

i dont know how to do this i just used a website just copy your question into google search bar and look it up.

Answer:

87.96m of fencing

Step-by-step explanation:

Answer:

John had $2088 originally in his savings accounts.

Step-by-step explanation:

Let John had $x originally in his saving account

He spent $198 on a radio. The remaining money = x - $198

4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)

= (1 - 4/12) of (x-198)

= 2/3 of (x-198)

John then put 2/9 if his remaining money into a checking account.

Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)

= (1 - 2/9) * 2/3*(x-198)

= 7/9 * 2/3*(x-198)

= 14/27(x-198)

Money left with him = $980

14/27(x-198) = $980

x - 198 = $980 * 27 / 14

x - 198 = 1890

x = 1890 + 198

x = 2088

Hence, John had $2088 originally in his savings accounts.

Answer:

Step-by-step explanation:

Given the coordinates D(-2, 3), E(5, 5), F(-4, 10), to find the measure of the sides, we will use the formula for calculating the distance between 2 points as shown:

D = √(y2-y1)²+(x2-x1)²

For DE;

D(-2, 3), E(5, 5),

DE = √(5-3)²+(5-(-2))²

DE = √2)²+7²

DE = √4+49

DE = √53

For DF;

D(-2, 3), F(-4, 10)

DF = √(10-3)²+(-4-(-2))²

DF = √7²+(-2)²

DF = √49+4

DF = √53

For EF;

E(5, 5) F(-4, 10)

EF = √(10-5)²+(-4-5)²

EF = √5²+(-9)²

EF = √25+81

EF = √106

Since two he sides DE and DF are equal, this shows that the triangle is an isosceles triangle. An isosceles triangle  is a triangle that has two of its sides and angle equal

Answer:

d

Step-by-step explanation: