the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

The Measure Of ABD Is (0.18x+54) And The Measure Of CBD Is (0.07x+39). Find The Value Of X.

Answers

Answer 1

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

Don't know what supplementary angle is?

Supplementary angle are angles that :

Equal 180 °

Solve:  

Since,

∠ABD is (0.18x+54)°

∠CBD is (0.07x+39)°

Thus,

(0.18x+54) + 0.07x + 39 = 180

Group likes terms:

0.25x + 54 + 39 = 180

0.25 + 93 = 180

Subtract 93 from both sides

0.25x = 87

x = 348

Check Answer:

0.18(348) + 54 + 0.07(348) + 39

= 180


Related Questions


12 ft
10 ft
Enter the volume of the cylinder, in cubic feet. Round your answer to the nearest hundredth.



Answers

Answer:

942.48

Step-by-step explanation:

hope this helps

The length of a rectangle is "a" inches and the width is 3 inches more than its length. find the perimeter and the area

Answers

Answer:

Step-by-step explanation:

Givens

Length = a

Width = a + 3

Formulas

P = 2L + 2w

Area = L * w

Solution

Perimeter

P = 2L +  2w

P = 2*a + 2(a + 3)             Remove the Brackets

p = 2a + 2a + 6                Combine

P = 4a + 6

Area

Area = L * w

Area = a (a + 3)

Area = a^2 + 3a

Which angle in this quadrilateral is an obtuse angle?

Angle J

Angle K

Angle L


Angle M

Answers

Answer:

Where is the quadrilateral? You haven't inserted a picture.

How much of your lawn can you mow with
one gallon of gas, if you maintain the rate
of ⅕ gallon of gas per ⅛ of a lawn?

Answers

Answer:

5/8

Step-by-step explanation:

1/5 x 5

1

1/8 x 5

5/8

a square pyramid measuring 7 in along each edge of the base with a height of 12 in​

Answers

Answer:

196 in^3

Step-by-step explanation:

Volume of pyramid = 1/3 base * height

                = 1/3  (7x7) (12) = 196  in^3

which fraction is equal to 5

Answers

5/1 mark as brainliest

Jada's property has a shape of a parallelogram with the
dimensions shown. If the perimeter of the property is 300
feet, what is the value of x?
x + 75
X +45


Answers

(X+75)+(X+45)

2x+120=300
-120 -120
2x=180
/2 /2
X=90

Shane and Abha earned a team badge that required their team to collect no less than 200020002000 cans for recycling. Abha collected 178178178 more cans than Shane did.

What is the solution set of the inequality?

Answers

The solution set of the inequality is represented as [911,∞)

How to find the solution set of the inequality?

let

x be the number of cans collected by Shane.

Therefore,

Since,  Abha collected 178 more cans than Shane did.

Therefore,

Abha  = 178 + x

Hence,

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

Therefore,

x + 178 + x ≥ 2000

2x + 178 ≥ 2000

2x ≥ 2000 - 178

2x ≥ 1822

x ≥ 1822 / 2

x ≥ 911

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Calculate the value of A please ?

Answers

A=7d+13
A=7(4)+13
A= 28+13
A=41

what’s the reason? help

Answers

Answer:

adjacent exterior angles

x equals 80

Please help this assignment is due in 20 mins!

Jayvalyn is buying milk. She needs 4 liters. A​ half-liter of milk costs ​$2.86. A ​200-milliliter container of milk costs ​$1.19. What should Jayvalyn buy so she gets 4 liters at the lowest​ price?

Answers

Answer:

the half liter

Step-by-step explanation:

200 mL :

4,000 mL in 4 liters.

4,000/200=20

20x1.19=23.8

half liter :

4x2=8

8x2.86=22.88

The half liter go go go

Are the circles tangent, concentric, or congruent?

Answers

Congruent maybe because r1=r2
Congruent because of the lines and it has the same size

HELP, I WILL GIVE YOU MANY POINTS (60)!
While using a skipping rope, Emily jumps 52 times in 60 seconds. Jumping at this
same rate, how many times does Emily jump in 75 seconds?

Answers

Answer:

65 times in 75 seconds

Step-by-step explanation:

52 × 75 = 3,900

3,900 ÷ 60 = 65

1. The mark up price of a pair of shoes which costs $125. 00 is 8. 35%. A)What is the final price? If the tax is 6 1/2% How much will be paid for that pair of shoes?

Answers

Answer:

Step-by-step explanation:

Remark

The wholesale price of the shoes is 125 dollars

The retailer marks it uu to 35% more to the wholesale price.

So the price is now 125 + 35% * 125 dollars

That amount is 125 + 35/100 * 125 = 125 + 43.75 = 168.75

The government wants its cut of 6.5% of the selling price

So the final price is 168.75 + 168.75 * 6.5/100

The final price is 168.75 + 10.97 = 179.72

Answer: A customer pays 179.72 dollars.

Can a right triangle have the side lengths 4 mm, 13 mm, and 10 mm?

Justify your reasoning.

Answers

Answer: No

Step-by-Step Explanation:

Using Pythagoras Theorem,
Hypotenuse^2 = 1st Side^2 + 2nd Side^2

Consider the longest number, ie. 13mm as the Hypotenuse.

=> 13^2 = 4^2 + 10^2
=> 169 = 116
LHS is not Equal to RHS

Therefore, this denies the Pythagoras Theorem. Hence, a Right triangle cannot have these side lengths.

Answer:

No, because the given values do not produce a correct equation when plugged into the Pythagorean Theorem.

Step-by-step explanation:

To solve this question, we can use the Pythagorean Theorem. (Also called Pythagoras Theorem)

The Pythagorean Theorem is true for ALL right triangles, meaning that if the side lengths don't work for it, the given triangle can not be a right triangle.

The theorem simply states that the sum of the squares of the two legs must add up to the square of the hypotenuse.

Note that the hypotenuse of a triangle is the side opposite to the right angle.

The Pythagorean Theorem can be easily written as the following expression:

a^2+b^2=c^2

This is where a and b are the legs and c is the hypotenuse.

We can plug our given values in to see if it's correct.

If it is a right triangle, the longest side will always be the hypotenuse, so we can safely set c as 13.

4^2+10^2=13^2

Simplify to see if it's true

16+100=169

116≠169

Therefore, a right triangle can not have these given side lengths.

Hope that helps, please let me know if you have any further questions!

4.5x67=
6/5x78=?
20-100=+3,000

Answers

4.5x67=301.7
6/5x78=63.6
20-100+3000=2920

Solve the following system of equations. Show all work and solutions.

y = 3x^2 + 6x + 4
y = −3x^2 + 4

Answers

Answer:

y = 4, x = 0

y = 1, x = -1

Step-by-step explanation:

[tex]y = 3 {x}^{2} + 6x + 4[/tex]

[tex]y = - 3 {x}^{2} + 4[/tex]

[tex] \: [/tex]

Since both of them are equal to y, we can just equate them and solve.

[tex] \: [/tex]

[tex]3 {x}^{2} + 6x + 4 = - 3 {x}^{2} + 4[/tex]

[tex]3 {x}^{2} + 6x + 4 + 3 {x}^{2} - 4 = 0[/tex]

[tex]6 {x}^{2} + 6x = 0[/tex]

[tex]6x(x + 1) = 0[/tex]

[tex]6x = 0[/tex]

[tex]x = 0[/tex]

[tex] \: [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

[tex] \: [/tex]

[tex]for \: x = 0[/tex]

[tex]y = 3( {0})^{2} + 6(0) + 4[/tex]

[tex]y = 4[/tex]

[tex] \: [/tex]

[tex]for \: x = - 1[/tex]

[tex]y = 3( { - 1})^{2} + 6( - 1) + 4[/tex]

[tex]y = 1[/tex]

[tex] \: [/tex]

[tex]values \: of \: x \: and \: y \: for \: the \: system \: of \: equations \: are[/tex]

y = 4, x = 0

y = 1, x = -1

The system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

What is a system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given as,

y = 3x² + 6x + 4

The second equation given as,

y = -3x² + 4

Equate the value of y from both equation as,

3x² + 6x + 4=-3x²+4

3x²+3x²+6x+4-4=0

6x²+6x=0

6x(x+1)=0

x=0:x=-1

Put these values of x, in first equation,

y = 3(-1)^2 + 6(-1) + 4

y = 3 - 6 + 4

y=1

Put 0 on the place of x,

y = 3(0)^2 + 6(0) + 4

y = 0 +0+ 4

y=4

Thus, the system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

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Please help quickly! Will give points to 1st right answer!

the table below represents a logarithmic function f(x)

Answers

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

What are domain and range?

The domain means all the possible values of the x and the range means all the possible values of the y.

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

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8 tenths + 34 hundredths =
A 42 tenths
B 42 hundredths
c 114 tenths
D 114 hundredths

Answers

Answer:

D

Step-by-step explanation:

114 hundredths

Answer:

42 hundredths

Step-by-step explanation

Normally do 34+8 then add the hundredths since 34 hundredths is the bigger value

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Part (a)

From inspection of the diagram, the pattern is:

Step 1:      1² + 1

Step 2:    2² + 2

Step 3:    3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:  

y = x² + x

Part (b)

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

The pattern is

1+14+29+3

More simply

1²+12²+23²+3

So for an integer n

y=n²+n

#b

n² is pair of boxes at top side

n is boxes underneath

Put the following equation of a line into slope-intercept form, simplifying all fractions.
12y−15x=84

Answers

First, you need to add 15x to both sides in order to get y by itself. Then, you need to divide all the numbers by 12. Your answer should be Y=1.25x+7. I hope this helps!

The equation in slope-intercept form is y = (5/4)x + 7.

We have,

The slope-intercept form of a linear equation is given by y = mx + b, where "m" is the slope and "b" is the y-intercept.

To write the equation 12y - 15x = 84 in slope-intercept form, simplify the fractions and solve for y:

12y = 15x + 84

y = (15x + 84) / 12

y = (5x + 28) / 4

y = (5/4)x + 28/4

y = (5/4)x + 7

Thus,

The equation in slope-intercept form is y = (5/4)x + 7.

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A line passes through two sides of a rectangle.
12
34
56
78
The measure of Z1 is 50 degrees. What is the measure of 26?
O 50 degrees
80 degrees
130 degrees
O 150 degrees

Answers

Answer:

34

80 degrees

Step-by-step explanation:

I RELLAY HOPES THIS HELPS YOU PLEASE

Find the solution set of the inequality: 8x+2 > 34
x > or < or >= or =

Answers

Inequality are expressions that are not separated by an equal sign. The solution to the given system of equation is x > 4

Inequality function

Inequality are expressions that are not separated by an equal sign.

Given the inequality

8x+2 > 34

Subtract 2 from both sides

8x + 2 - 2 > 34 - 2

8x > 32

Divide both sides by 8

8x/8 = 32/8
x > 4

Hence the solution to the given system of equation is x > 4

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Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 24x – 35? 2x – 7 2x 7 3x – 7 3x 7

Answers

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

What is an equation?

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

Given the polynomial:

f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35

The polynomial can be further simplified to:

f(x) = (2x - 7)(3x³ - 2x + 5)

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

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Answer:

2x-7

Step-by-step explanation:

TLDR verified answer, correct on edge 2023

Pleease help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

ANSWER: The answer is 9

SOLUTION: sqrt(8^2+4^2)=8,9 and rounds up to 9

The price of a visit to the dentist is $25. If the dentist fills any cavities, an additional charge of $75 per cavity gets added to the bill. If the dentist finds x cavities, what will the cost of the visit be? Write your answer as an expression.​

Answers

c = cost of visit

c = 75x + 25

Can a prism have the same volume and surface area EXPLAIN PLEASE URGENTLY ANSWER PLEASE

Answers

Answer:

Two figures can have the same volume but different surface areas. For example: A rectangular prism with side lengths of 1 cm, 2 cm, and 2 cm has a volume of 4 cu cm and a surface area of 16 sq cm. A rectangular prism with side lengths of 1 cm, 1 cm, and 4 cm has the same volume but a surface area of 18 sq cm.

Which graph represents the function?
f(x)=x(x+2)

Answers

Answer:

The bottom graph on the right, check the image below:

Explanation:

Substitute the x value with 1,

f(1)=1(1+2)=3

f(2)=2(2+2)=8

f(-1)=-1(-1+2)=-1

f(-2)=-2(-2+2)=0

casey sight the top of an 84 foot tall lighthouse at an angle of elevation of 58. if casey is 6 feet tall how far is he standing from the base of the lighthouse

Answers

Do u have a pic pls that might help
Answer: Casey is standing 52.5 feet from the
lighthouse
Step-by-step explanation:
A right angle triangle is formed. The height of
the lighthouse represents the opposite side
of the right angle triangle. The distance, h
from the lighthouse to where Casey is
standing represents the adjacent side of the
right angle triangle. Casey's line of sight
along the angle of elevation represents the
hypotenuse.
To determine h, we would apply
the tangent trigonometric ratio.
Tan 0, =opposite side/adjacent side.
Therefore,
Tan 58 = 84/h
h = 84/tan 58 = 84/1.6
h= 52.5 feet

Solve by taking a square root: (x + 7)2 - 10

Answers

Answer:

2x+4

Step-by-step explanation:

Trust me

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