The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]ABD = 0.18x +67[/tex]

[tex]CBD = 0.07x + 48[/tex]

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

[tex]0.18x + 67 = 0.07x + 48[/tex]

Collect like terms

[tex]0.18x - 0.07x= - 67 + 48[/tex]

[tex]0.11x= -19[/tex]

Solve for x

[tex]x = -\frac{19}{0.11}[/tex]

[tex]x = -172.72[/tex]

Assume ABD and CBD are supplementary

The solution is:

[tex]ABD + CBD=180[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]

[tex]0.25x = 65[/tex]

Solve for x

[tex]x = \frac{65}{0.25}[/tex]

[tex]x = 260[/tex]

Assume ABD and CBD are complementary

The solution is:

[tex]ABD + CBD=90[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]

[tex]0.25x = -25[/tex]

Solve for x

[tex]x = \frac{-25}{0.25}[/tex]

[tex]x = -100[/tex]


Related Questions

Please help! 50 points,, I REALLY need someone to answer these correctly so dont just answer for points pleasseee,,.
Instructions
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet. (you can aslo make something up- as long as its an object that you can find in a house)

Complete ALL OF THESE. Show ALL work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10

Answers

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

I NEED HELP ITS DUE AT 9

Answers

120 for the first
30 for the second
so uhhh
150 in^3

You need to match it. 32 inches 2 yards 5 inches 77 inches 4 yards 144 inches 2 feet 8 inches 3 yards 9 inches

Answers

9514 1404 393

Answer:

32 inches = 2 feet 8 inches 2 yards 5 inches = 77 inches 4 yards = 144 inches 3 yards 9 inches = 117 inches

Step-by-step explanation:

Each yard is 36 inches; each foot is 12 inches.

32 inches = 2 feet 8 inches 2 yards 5 inches = 77 inches 4 yards = 144 inches 3 yards 9 inches = 117 inches

Could someone please me find this answer

Answers

Answer:

9/100

Step-by-step explanation:

a percent is 9 out of 100 so it is 9/100

What is the value of a in the equation 3a + 4 = 10

Answers

Answer:

2

Step-by-step explanation:

10- 4 is 6 and 6 / 3 is 2

Answer:

a = 2

Step-by-step explanation:

3 + 4 − 4 = 10 − 4= a= 2

Pls give brainlist if this was helpful

What is the perimeter of this parallelogram? ​

Answers

Answer:

24 mm

10 + 10 + 2 + 2

the answer is 24mm for the perimeter of the parallelogram

Simplify the expression.
1/2r – 2r + 6 – 3

Answers

Answer:

-3(r-2)/2

Step-by-step explanation:

r/ 2 − 2 r + 6 − 3

r /2 − 2 r⋅ 2/ 2+ 6 − 3

r/ 2 + − 2r ⋅ 2/ 2 + 6 − 3

r − 2 r ⋅ 2 /2 + 6 ⋅ 2/ 2 + − 3 ⋅ 2/ 2

r − 2 r ⋅2 + 6⋅ 2 − 3 ⋅ 2 /2

r − 4 r + 12 − 6 /2

−3 ( r − 2 ) /2

Hope that helps! Plz, mark brainiest! :D

Have a great day!

The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of \piπ.​

Answers

Answer:

A ≈ 3.9

Step-by-step explanation:

How to solve

Using the formulas

A=πr2

C=2πr

Solving for A

A=C2

4π=72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9

If f(x) = 3x-2 and g(x) = x^2 +1, find (f +9)(x).

Answers

Answer:

D

Step-by-step explanation:

(f + g) (x) = f(x) + g(x)

= 3x - 2 + x^2 + 1

= x^2 + 3x - 1.

HELPPPPP ASAP 10 POINTS

Answers

Answer:

area = 38.47 cm²

Step-by-step explanation:

area = 1/4(3.14)(7²) = 38.47 cm²

1
Jennifer writes the letters M-O-N-T-A-N-A on cards and then places the cards in a hat. What is
the probability of picking an N?

Answers

Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

[tex]\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}[/tex]

[tex]\text{Probability}=\dfrac{2}{7}[/tex]

Therefore, the probability of picking an N is [tex]\dfrac{2}{7}[/tex].

PLSSS HELP WITH THIS IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link just pls help.

Answers

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

The temperature on the moon can vary from -172 to -126 degrees celsius. Find the difference between the maximum and minimum temperatures. Write with explanation PLEASE!!!

Answers

Given:

The temperature on the moon can vary from -172 to -126 degrees Celsius.

To find:

The difference between the maximum and minimum temperatures.

Solution:

It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.

Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.

The difference between the maximum and minimum temperatures is:

Difference = Maximum temperature - Minimum temperature

[tex]\text{Difference}=-126-(-172)[/tex]

[tex]\text{Difference}=-126+172[/tex]

[tex]\text{Difference}=46[/tex]

Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.

can somebody please help me answer this question​

Answers

Answer:

the mean is 9

Step-by-step explanation:

add all the numbers then divide by 6

Answer:

The mean is 9.

Step-by-step explanation:

The mean of a data set is all of the numbers added together, divided by how many numbers are present.

For instance, 10+10+8+9+7+10 = 54.

Since there are 6 numbers in this data set, you divide 54 by 6 and get 9.

Therefore, the mean of this data set is 9.

GAAHHHHHHHHHHHHHH THis Homework hard THOSE 3 Over is bugging me

Answers

Answer:

8. X=33º

9. X=120º

10. X= 161º

Step-by-step explanation:

For all of the 3 questions, the sum of the interior angles is equal to the exterior angle.

Hope this helps! Have a great day!

HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!

Answers

Answer:

Step-by-step explanation:

A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises. a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. b) What might you do instead of weighing the nuts in or- der to use a test

Answers

Answer:

jhtbieugcn5guwnhhubymymuwihyehnmedmilgb,dhlhut,dybidbthi,yibtjd,njhsknhb

Step-by-step explanation:

Find m


A. 30°

B. 16.3°

C. 73.7°

D. 60°

Answers

I’m not sure but I think it’s D

Convert the number to standard notation.
3.8 x 10^-6

Answers

Answer:

3.8E-6

Step-by-step explanation:

Which graph repreWhich value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|?

–1

1
4sents the function f(x) = |x| – 4?

Answers

Answer:

the answer is -1

Step-by-step explanation:

I took the quiz


Maria adds 3 cards to her stack of 60. She says now there are only two ways to
arrange the cards into equal groups. Her reason is that 63 is an odd number. Is Maria's
reasoning correct? Explain why or why not.

Answers

Answer:

63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.

Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:

1 group of 63 cards

3 groups of 21 cards

7 groups of 9 cards

9 groups of 7 cards

21 groups of 3 cards

63 groups of 1 card

So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.

Learn more about the divide visit:

https://brainly.com/question/28119824

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What is the mean for the data set below

Answers

Answer:

B) 8.5

Step-by-step explanation:

[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]

Option B should be the correct answer.

Hope this helps.

PLEASE HELP IF YOU WANT BRIANLEIST TY!! ^ ^

Answers

i think it’s rhombus and isosceles trapezoid. i’m so sorry if it’s wrong!

What are the approximate values of the missing side lengths in the triangle below?

120 m

404

BC 136m, AB 89m

BC 89m. AB 136m

BC 105m, AB 162m

BC 162m, AB 106m

Answers

Answer:

BC 136m, AB 89m

Step-by-step explanation:

Find the diagram attached

According to sin rule;

a/sinA = b/sinB = c/sinC

From the diagram;

b = 120m

<B = 60degrees

<C = 40degrees

From the sine formula

b/sinB = c/sinC

120/sin60 = c/sin40

csin60 = 120sin40

c = 120sin40/sin60

c = 120(0.6428)/0.8660

c = 77.1345/0.8660

c = 89.06

c = AB = 89m

Get BC;

According to the sine rule

a/sinA = b/sinB

a/sin(180-100) = 120/sin60

a/sin80 = 120/sin60

asin60 = 120sin80

a = 120sin80/sin60

a = 120(0.9848)/0.8660

a = 118.177/0.8550

a = 136.46

Hence a = BC = 136m

Pyramid ABCDE is a square pyramid. What is the lateral area of pyramid ABCDE? 2563√ in² 3843√ in² 5123√ in² 10243√ in² Pyramid A B C D E with vertex A and base B C D E. Angle A C B measures 60 degrees and D C equals 16 inches.

Answers

Answer:

2563 (square root)in^2

Step-by-step explanation:

i took the test

Doug is in line at the store. He has three items that cost ​$4.50​, ​$3.05​, and ​$1.50. Explain how Doug can add the cost of the items mentally before he pays for them.

Answers

Answer:

He can add through calculater or by doing addition in his mind

You have some trading cards. You give 21 cards to a friend and have 9 left for yourself.
How many cards were in your original deck?

Answers

Answer:

30

Step-by-step explanation:

21 + 9 = 30

I NEED HELP ASAP! THIS IS TIMED! WILL MARK BRAINLIEST IF ANSWER RIGHT!
What is the slope. Give answer in Decimal and Fraction.

Answers

Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15

If JM = x + 17 and MK = 5x - 23 find JL

Answers

Answer: 54

Step-by-step explanation:

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of JL is 54 units.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For a rectangle the length of the diagonals is equal, also the diagonals bisect each other in equal parts, therefore, we can say,

HM = JM = MK = ML

Substitute the value of JM and ML,

JM = MK

x + 17 = 5x - 23

x - 5x = -23 - 17

-4x = -40

x = 10

The length of JM can be written as,

JM = x + 17 = 10 + 17 = 27

Since HM = JM = MK = ML, therefore,

JL = (JM + ML) = 27+27 = 54 units

Hence, the length of JL is 54 units.

Learn more about Rectangle:

https://brainly.com/question/15019502

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Can someone plz help me

Answers

Answer:

I would say 32 but I'm so sorry if it's wrong

32 I think! But I’m not sure! Have a good day!
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