HELP ASAP QUESTION 1

Answers

Answer 1

The measure of the angle m∠BDE obtained using the exterior angles theorem is 86°. The correct option is therefore;

86°

What is the exterior angle theorem?

The exterior angle theorem states that the angle formed by two secants, a secant and a tangent or two tangents of a circle is equivalent to the half of the difference of the arcs intercepted.

The specified interior angle of the triangle ΔOBJ, ∠J = 47°

The segments OJ and BO are radial lengths of the circle, therefore;

JO ≅ BO

JO = BO (definition of congruency)

The triangle ΔOBJ is an isosceles triangle (definition of isosceles triangles)

∠J ≅ ∠B (Base angles of an isosceles triangle)

∠B = ∠J = 47°

m∠BOJ = 180°- 47° - 47° = 86° (angle sum property of a triangle)

Whereby EJ is a diameter of the circle, with center at O, we get;

∠BOJ and ∠BOE are linear pair angles, therefore;

m∠BOJ + m∠BOE = 180° (Linear pair angles are supplementary)

m∠BOE = 180° - m∠BOJ

m∠BOE = 180° - 86° = 94°

The exterior angle theorem indicates that we get;

m∠BDE = Half the difference of the intercepted arcs BJE and BE, found as follows;

$m\widehat{BE}$ = m∠BOE = 94°

$m\widehat{BJE}$ = 360° - m∠BOE = 360° - 94° = 266°

$m\widehat{BJE}$ = 266°

m∠BDE = ($m\widehat{BJE}$ - $m\widehat{BE}$)/2

m∠BDE = (266° - 94°)/2 = 86°

m∠BDE = 86°

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Related Questions

1/2(6x+4)+2/3(-3x+9)=21 pls

Answers

Answer:

X=13

Step-by-step explanation:

1). Factor the expressions

1/2*2(3x+2)+2/3*3(-x+3)=21

2). Reduce the numbers

(3x+2)+2(-x+3)=21

3). Rewrite & Remove parentheses

3x+2-2x+6=21

4). Collect the like-terms & Calculate

x+8=21

5). Move the constant to the right

x=21-8

6). Calculate

x=13

Translate the following into an expression or equation.
Five more than twice a number.

Answers

Answer: 5>x

Step-by-step explanation: hope this right

Answer: 2x+5

Step-by-step explanation:

Five more is adding 5

Twice a number would be 2 times something so we use a variable as "a number"

Johnson Electronics makes calculators. Consumer satisfaction is one of the top
priorities of the company’s management. The company guarantees the refund of
money or a replacement for any calculator that malfunctions within two years from
the date of purchase. It is known from past data that despite all efforts, 12% of the
calculators manufactured by this company malfunction within a 2-year period. The
company recently mailed 550 such calculators to its customers.
a. Find the probability that exactly 32 of the 550 calculators will be returned for
refund or replacement within a 2-year period.
b. What is the probability that 30 or more of the 550 calculators will be returned for
refund or replacement within a 2-year period?
a. What is the probability that 15 to 35 of the 550 calculators will be returned for
refund or replacement within a 2-year period?

Answers

Answer:

later ill answer this .. read and understand

The figure shown below is a trapezoid. What is the value of x?

Answers

Answer:

Step-by-step explanation:

the traezoid has congruent legs moving from the top to the bottom

and length is increasing by 2 each for each base, so the bottom base

is 14.

2x = 14

x = 7

What will be the new position of the given point (3, 5) after translation of 2 units left and 3 units up?

Answers

Answer:5 8

Step-by-step explanation:left 2 up 3

Enter the number that makes the equation true

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve (x+1)2 =13/4 using the square root property

Answers

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Walter takes 7/10 0f an hour to mow 2/5 of an acre of lawn. At this rate how many acres weill he mow in an hour?

Answers

Answer:

4/7

Step-by-step explanation:

Walter's rate in area per hour is ...

area/hour = (2/5 ac)/(7/10 hr) = (4/10 ac)/(7/10 hr) = 4/7 ac/hr

Sammy will mow 4/7 of an acre in an hour.

Answer:

Step-by-step explanation: WALTER will mow 4/7 acres per hour

What is the equation for the lien of symmetry in the figure

Answers

Answer:

JUst find the middle and fold it in half

ain't no equations needed.

Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

What is the length of the apothem of the regular pentagon shown below? Round to one decimal place

Answers

The length of the apothem of the regular pentagon shown is 5.2 meters

How to determine the length of the apothem?

Represent the central angle of the regular pentagon using x

The value of the central angle of the regular pentagon is then calculated as:

x = 360/n

Where n represents the number of sides

i.e n = 5

So, we have:

x = 360/5

Evaluate the quotient

x = 72

Represents the apothem with y.

The apothem is then calculated as:

tan(x/2) = (Side length/2)/Apothem

This gives

tan(72/2) = (7.6/2)/y

Evaluate the quotient

tan(36) =3.8/y

Multiply both sides by y

y tan(36) = 3.8

Divide both sides by tan(36)

y = 3.8/tan(36)

Evaluate the quotient

y = 5.2

Hence, the length of the apothem of the regular pentagon shown is 5.2 meters

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Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?

Answers

Answer:

45 minutes

Step-by-step explanation:

At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...

t = d/s

t = (7.5 mi)/(10 mi/h) = 0.75 h

to catch Peter.

Mitchell will catch Peter in 45 minutes.

Alternate Solution

Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:

3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter

_____

You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.

If y varies directly as x, and y = 8 when x = 4, find y when x = 24.

Answers

The value of y is 48

How to calculate the value of y in the variation ?

y= kx

let's solve for k which is the constant

y= 8 , x= 4

k= 8/4

k= 2

Next is to calculate the value of y when x is 24

y = 2 × 24

y= 48

Hence the value of y is 48

Answers

Answer: is 14 square feet bro

Step-by-step explanatio

Answer:

look at the picture i have sent. thanks for the points

what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the neares tenths place

Answers

Answer:

V≈25.13in³

Step-by-step explanation:

Cylinder volume = pi d^2/4*h
=3.142*4^2/4*2
=25.136 cubic inches

Enter the equation of a circle that is congruent to circle C and is centered at point P

Answers

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

What is the equation of a circle?

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center of a circle.r represent the radius of a circle.

Based on the information provided, we have the following parameters for the equation of this circle:

Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Use the graph of g(x) to answer the following question.
The graph of g(x) is a translation of f(x) = x^2
Write the equation for g(x) in vertex form.

Answers

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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can you solve y = 2mx-7b

Answers

Answer:

Simplifying

y = 2mx + -7b

Reorder the terms:

y = -7b + 2mx

Solving

y = -7b + 2mx

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = -7b + 2mx

Step-by-step explanation:

Is this the answer??

How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?

Answers

To check whether a line belongs to a plane, you can substitute the coordinates of a point on the line into the equation of the plane. If the equation is satisfied, then the point lies on the plane and the line belongs to the plane.

For example, suppose you have the Cartesian equation of a line in the form:

y = mx + b

and the equation of a plane in the form:

ax + by + cz + d = 0

To check if the line belongs to the plane, you can substitute a point (x, y) on the line into the equation of the plane and solve for z. If the resulting value of z satisfies the equation of the plane, then the line belongs to the plane.

Here's an example:

Suppose the Cartesian equation of the line is y = 2x + 1, and the equation of the plane is 2x + 3y + 4z + 5 = 0.

If we substitute a point on the line, such as (1, 3), into the equation of the plane, we get:

2(1) + 3(3) + 4z + 5 = 0

Solving for z, we find that z = -1.5.

Since the resulting value of z satisfies the equation of the plane, the line belongs to the plane.

If the resulting value of z does not satisfy the equation of the plane, then the line does not belong to the plane.

Determine the inverse of the function f(x) = log3(4x + 5) − 6.

f inverse of x is equal to 3 to the power of the quantity x minus 6 end quantity plus 5 all over 4
f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4
f inverse of x is equal to 3 to the power of x plus 4 all over 4
f inverse of x is equal to the quantity x plus 6 end quantity cubed minus 5 all over 3

Answers

Answer:

f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4

Step-by-step explanation:

The function $f(x)=\log_3 (4x+5)-6$ can be thought of as a series of steps, one operation at a time:

Start with x

Multiply by 4

Add 5

Take the $\log_3$

Subtract 6

That gives you a function value $f(x)$.

To get the inverse function, read that list from the bottom up (in reverse order, using inverse operations at each step).

Start with x (a bit confusing, because this x represents the function value you get at the end of the above list).

Add 6 (add is the inverse operation of subtract)

Raise 3 to the ... $3^{\text{result of previous step}$

Subtract 5

Divide by 4

$f^{-1}(x) = \frac{3^{x+6}-5}{4}$

Let's test this out. Find f(1).

$f(1)=\log_3(4 \cdot 1 + 5)-6 =\log_3(9)-6=2-6=-4$

Now put -4 into the inverse function.

$f^{-1}(-4)=\frac{3^{-4+6}-5}{4}=\frac{3^2-5}{4}=\frac{9-5}{4}=\frac{4}{4} =1$

The final result is the number we started with when we put 1 into f(x).

Finding an inverse is reversing the action of the function f by doing inverse operations in "backwards" order.

A lot of authors have you do this by switching x and y in the formula for a function, then solving for x.

$y = \log_3(4x+5)-6\text{ switch x and y}\\\\x = \log_3(4y+5)-6\\\\x+6 = \log_3(4y+5)\\\\3^{x+6}=4y+5\\\\3^{x+6}-5=4y\\\\\frac{3^{x+6}-5}{4}=y$

Answer:

B-

Step-by-step explanation:

I took the test

Determine the inverse of the function f(x) = log3(4x + 5) 6. f inverse of x is equal to 3 to the power

0.47 as a percent 6th grade

Answers

Answer:

47%

Step-by-step explanation:

Answer:

0.47 = 47%

Hope this helps!

Solve the compound inequality.
8xGT-64 and 10x <60

-8GTxLT6
-8 -8LT x<6
-8

Answers

Answer:

-8<x < 6

Step-by-step explanation:

Given the inequality

8x > -64

x > -64/8

x > -8

-8 <x

If 10x<60

10x/10 < 60/10

x < 6

Combine both

-8<x < 6

This gives the solution

one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?

Answers

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Daniela is making bracelets and has 30 purple beads and 18 blue beads. She wants to make identical bracelets. What is the greatest number of bracelets she can make?

Answers

Answer:

I think its 12.

Step-by-step explanation:

Answer:

4 braclets

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

Since mAB = mCD

3x+9 = 11x-71

9+71 = 11x-3x

80 = 8x

x = 10

Now

Arc AB = 3x+9

= 3(10)+9

= 39°

Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point

Answers

Answer:

A = 414.69 km^2

Step-by-step explanation:

A = 2 π r h + 2 π r^2

A = 2(30)(pi) + 2(36)(pi)

A = 132pi

A = 414.69 km^2

Morganton Company makes one product and it provided the following information to help prepare the master budget:

The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.

5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?

Answers

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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What is the area of the parallelogram?

Answers

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6

(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)

Please provide the work and the answer! :)

Answers

x = 301/56

Algebraic expressions

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

$3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} $

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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[(5^2)^2]^2
how to do this

Answers

Really simple 5^2^2 is equal to 5^4 because a power raised to a power multiple
Your answer is 5^8

Step-by-step explanation:

{(5^2)^2}^2(5^4)^25^8

What is the point in the solution set?

Answers

The point in the solution set from the graph is (0, 0)

Solving the systems of inequalities graphically

From the question, we have the following parameters that can be used in our computation:

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)