Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Find X. Give Reasons To Justify Your Solution. B Lines AB And CD Are Straight Lines.

Answers

Answer 1

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28


Related Questions

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

19.04

Step-by-step explanation:

convert 170% into decimal form number:

1.7

Then multiply by 11.2:

1.7 × 11.2 = 19.04

Pls consider marking my answer as Brainliest! It would mean a lot!

Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°

Answers

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is ​

Answers

Given:

Four years ago average age of A , B & C was 25 years.

Find:

A's present age

Solution:

Let the ages of A , B , C be A , B , C years.

Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

20 POINTS!!!! Help please

Answers

Answer:its c

Step-by-step explanation:

what is the area of a semicircle with a diameter of 12.5 ft

Answers

radius = 12.5/2 = 6.25 feet

area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet

HELP ME, PLEASE.

find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

Answers

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

x=2to understand thisyou need to know about:equationgiven:

[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]

to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

[tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]

[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex]

[tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]

The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.

Plsss help I put 15 points

Answers

Hope it helps man .....

2 1/7+3/7(3x−5)=−4
A) x= -5 1/7

B) x= -3 1/9

C) x= -1 23/49
D) x= - 8/9

Answers

The answer fam is...........B) x= -3 1/9

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Answer:

y=4, y =16, x=10, x=15

Step-by-step explanation:

Plug the x values in the x place and then solve from there and for y values plug em in and easy answer

sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps

Answers

Answer:

Step-by-step explanation:

If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.

25 baskets = 35 days

To find how long one basket takes, divide 35 by 25

1 basket = 35/25 = 1.4 days

Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.

110 baskets = 1.4 times 110 = 154 days.

Remember the Great Toilet Paper Shortage of 2020? Most stores have
finally restocked. Charmin makes a pack of TP with 2^4 rolls in it. Each roll
has 2^10 individual sheets. Wegman's has a shelf with 2^6 packages on it.
How many sheets are there on that shelf? Final answer must be left in
exponential form. Show the process but not the calculations - unless you
want to but sometimes less is more

Answers

Answer:

2^16 or 65,536

Step-by-step explanation:

First, you'll find the answers to 2^6 and 2^10

2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.

**or, the easier way is to just add the two exponents together since you see that the bases are the same.

What are the y-intercepts to graph the equation -4x – 3y = 36?

Answers

4x-3y =36

Move the constant to the left by adding its opposite to both sides

4x-3y-36=36-36

The sum of two opposites equals 0

Answer: 4x-3y-36=0

PLEASE MARK ME AS BRAINLIEST

The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.

Answers

Answer:

$8.31

Step-by-step explanation:

you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.

Can you explain pls

Answers

Answer:

d

Step-by-step explanation:

If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.

The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the slope of the line represented by the given equation?

Answers

Answer:

The slope of the line is 0.1.

Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?

Answers

Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8

What is 7 + 6x for x = -3?

Answers

Answer:

-11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

putting the value of x in the equation:-

7+6(-3)

7+(-18)

7-18

-11

What Is The Slope Of the Line

Answers

Answer:

2/2.5 or 3/4 I pretty sure that's right

Please select the word from the list that best fits the definition

comes from a specific place

Answers

Point-source pollution, I took the test.

Answer:

Point-source pollution

Step-by-step explanation:

HELP PLEASE THIS IS DUE IN FIVE MINUTES

Answers

Answer: 0, 50

Step-by-step explanation: (h=0), 0=2t+100

2t=100

t=50

hopefully this helps

Answer: 0, 50
Explanation:

Solve for x.

3y = x + 8

Answers

X=3y-8 thats the answer I think
Answer: x-3y=-8

This is how far the problem can simply

A chef earns $27 per year. She is paid every 2 weeks.
These are 26 pay periods per week?

How much does the chef
earns pay period.

Round to the neared cent

Answers

Answer:

1

Step-by-step explanation:

27 divided by 26.

How did you find each square root? ​

Answers

Answer:

......

Step-by-step explanation:

join on zoom meeting now I'd 4989249097 and password MsS8pt join now for fun only girls

What is 2+2? I think the answer is 6 :)

Answers

Answer: wut yea i think it's six too.

The answer is 4 because look at this: ♥ ♥

That's 2 hearts

If you add 2 more:

♥ ♥ ♥ ♥

1  2  3  4 --> 4 hearts!

♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥

So, 2 + 2 = 4.

Ok :

NEED HELP ASAP!
p:Memorial Day is in July q:Parallel lines never
intersect

Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”



Answers

Answer:

Option (C)

Step-by-step explanation:

Two statements given in the question are,

p: Memorial Day is in July

q: Parallel lines never intersect

We have to tell the represent the symbolic notation of the compound statement,

"Memorial Day is in July or parallel lines intersect"

Here word 'Or' is combining these statements.

We know word 'Or' means Disjunction which is denoted by the symbol (∨).

So the compound statement will be denoted by p ∨ q.

Option (C) will be the answer.

0.0000123 written in standard form is__

Answers

Answer:

1.23 × [tex]10^{-5}[/tex]

Step-by-step explanation:

A number expressed in standard form has the form

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

Express the number given as a number between 1 and 10, that ia

1.23 × [tex]10^{n}[/tex]

We require to obtain the original number by moving the decimal point by moving the decimal point back 5 places to the left.

Move to the right then n > 0

Move to the left then n < 0

Thus

0.0000123 = 1.23 × [tex]10^{-5}[/tex]

The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $32 for each room. (a) How many rooms can a hotel pay the company to clean for $500? Write and solve an equation.

Answers

Answer:

15 rooms.

Step-by-step explanation:

32x=500

x=15.625

Rounding down (since you can't get a fraction of a room), you get 15 rooms.

The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?

Answers

Answer: 61cm

Step-by-step explanation:

So to work out this question you do 5734÷94 which would work out the with which is 61

61×94=5734

2( y+2) = 6x-7
please help​

Answers

Answer:

2y + 4 = 6x - 7

2y = 6x - 11

2y + 6x = -11

Answer:

2y+4=6x-7

take 4 from both sides

2y=6x-3

divide each side by 2

y=6x-3

how do I do slope? i know nothing about it and i need to learn it.

Answers

Answer:

slope is easy it is rise over run.

Step-by-step explanation:

rise/run

rise means up

run means move sideways.

Answer: what do you mean by slope?

Step-by-step explanation:

the game that you have to control a ball and you have power-ups and you have to stay on platforms and you have to avoid the red rectangles?

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