∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)

Answers

Answer 1

Answer:

156

Step-by-step explanation:

Since, ∠CAT and ∠TAD is a linear pair.

Therefore,

∠CAT + ∠TAD = 180°

14° + (x + 10)° = 180°

(x + 24)° = 180°

x + 24 = 180

x = 180 - 24

x = 156


Related Questions

I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS

Answers

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]

Compare x and y coordinates

[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

round to 2 decimal 0.314

Answers

Answer:0.300

Step-by-step explanation:Just took something familiar

Answer:

0.31

Step-by-step explanation:

the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?

Answers

Answer:

9.

Step-by-step explanation:

I am assuming that the two numbers are positive.

Let the numbers be 3x and 7x.

Then 3x * 7x = 19

21x^2 = 189

x^2 = 9

x = 3.

So the smaller of these numbers is 3*3 = 9.

Answer:

9 if that does not work try - 21

Step-by-step explanation:

Let the two numbers be x and y

x/y = 3/7               which means that x is the smaller number.

x*y = 189

Cross multiply the top equation

7x = 3y      

Divide by 7

x = 3/7 ^ y

x*y = 189

(3/7  y) * y = 189

Multiply by 7

3y^2 = 189*7

3y^2 = 1323

Divide by 3

y^2 = 441

Take the square root of both sides

y = 21

The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.

x = 3/7 * 21

x = 3*3

x = 9

Check

x*y = 9 * 21 = 189

Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.

Answers

Answer:

y=2.5x+10

Step-by-step explanation:

The given line is y=2.5x+4.

Here, the slope of the line, [tex]m_0=2.5[/tex] and

the y-intercept of the line, [tex]C_0=4[/tex].

The graph of the line has been shown in the figure.

The parallel lines never intersect each-other and always have a fixed distance between then.

Mathematically, a line having the slope, m, and the y-intercept, C, i.e

y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].

So, the equation of the parallel line is

y=2.5x+C, where [tex]C\neq 4[/tex].

For example, take C=10 than the equation of a parallel line is

y=2.5x+10 has been shown in the graph.

Like this, there are infinitely many possible parallel lines to the given line.

3. Machine A packs 4, cartons in 5 hour.
Machine B packs 4 cartons in a hour.
Which machine packs faster? How
many cartons per hour can the faster
machine pack?
Machine:

Answers

Answer:

Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.

Step-by-step explanation:

What is the area of a section of pavement that is 20 ft wide and 50 yd​ long?

Answers

Answer:

3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2)    (yd^2)

Step-by-step explanation:

The answer is 3000 feet.

Find the inverse.
f(x) = 3x+28

Answers

Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]

Interchange the variables [tex]x[/tex] and [tex]y[/tex]

[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]

Please help with this

Answers

Answer:

x = 14.75

Step-by-step explanation:

I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.

Identities in maths 4sin30°cos45° What is the answer?

Answers

Answer:

[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]

Step-by-step explanation:

13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.

Answers

Answer: 35 minutes

Step-by-step explanation:

Since we are given the value of h, we can plug that into the equation and solve.

20+15     [add]

35

Now, we know that it is 35 minutes.

Which linear equation has no solution?

Answers

5x+12=5x-7 is the answer
because 0=-19 has no solution.

What number multiplied by itself 3 times equals 10

Answers

Answer:

2.1544

Step-by-step explanation:

[tex]\sqrt[3]{10}[/tex] = 2.1544

check: 2.1544^3

A negative number divided by a negative number will result in a _ Quotient

Answers

Answer:

Positive

Step-by-step explanation:

Two negatives make a positive.

Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?

Answers

Answer:

17

Step-by-step explanation:

Answer:

22-5=17 the answer is 17

HELP ME!!!!! Solve for X

Answers

Answer:

1. x=6, 2. x=14 3. x= -2, and 4. x=6.5

Step-by-step explanation:

1. 120=20x, x=6.

2. 47=2x+19, x=14

3. 4x+3=2x-1, x= -2

4. 3x+4+7x+11=180, x=6.5

Find the probability for one roll of a number cube.
P(number is not 5)

A. 0
B. 5/6
C. 1/6
D. 1

Answers

Answer:

for 5 probability is 1/6

for not a five = 1-1/6 = 5/6

Step-by-step explanation:

What is the greatest common factor of 80 and 16?

Answers

Answer:

16

Step-by-step explanation:

did the calculation

Answer:

Therefore the highest common factor of 80 and 16 = 8

F(x)=x2-2x find f(x2)

Answers

answer

0

Step-by-step explanation:

you plug in the 2 into every xbox value

Answer:

f(x)= x²-2x

For finding f(x²), replace x with x²

f(x²)= (x²)²-2x²

= x⁴-2x²

Hope it helps :-)

.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.

Answers

Answer: Please find the attached file for the graph and find the answer in the explanation

Step-by-step explanation:

Let first calculate the normal time each of them will reach the 92 feet distance.

For senn

Time = 92/5 = 18.4 minutes

That means in 18.4 minutes the two other friends must reach the point at 92 feet.

Calculate the distance at the time for each of the friends.

For Ms Lady

Time = 92/4 = 23 minutes

Distance = speed × time

Distance = 4 × 18.4 = 73.9

92 - 73.6 = 18.4 feet

For Ms Beetle

Time = 92/2.5 = 36.8 minutes

Distance = 2.5 × 18.4

Distance = 46 feet

92 - 46 = 48 feet

Therefore, Senn must give a head start of 18.4 feet for Ms Lady

And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).

Their equation will be

Ms Lady

Y = 4x + 18.4

Ms Beetle

Y = 2.5x + 48

Ms Senn

Y = 5x

Answer:

Chips are good!

Step-by-step explanation:

Solve the formula C = πd for d

Answers

Answer:

[tex]d = \frac{C}{\pi}[/tex]

Step-by-step explanation:

[tex]C= \pi d\\[/tex]

Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]

[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]

Simplify

[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]

Note; Another formula for d(diameter) =

[tex]2\times radius[/tex]

What is the degree of the polynomial −6x3y2+5x4−7z?

Answers

Answer:

4

Step-by-step explanation:

The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.

Best of Luck!

Which expression is equivalent to 9+9x+9y?

Answers

Answer:

9(1 + x + y)

Step-by-step explanation:

[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]

two angles of a triangle are 98 degrees and 50 degrees what is the third angle

Answers

Answer:

32 degrees.

Step-by-step explanation:

The three angles in a triangle always add up to 180 degrees.

To find the third angle, [tex]180-50-98=32[/tex].

Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)

Answers

Answer:

21:00 AST

Step-by-step explanation:

10:00 uk time

Australia time is 11 hours ahead of UK time then

10:00 + 11 hours

21:00 AUSTRALIA TIME

OR 9:00 PM Australia time

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next​ step?

Answers

Answer:

A

Step-by-step explanation:

Answer:

5.94 rounded up to the neares tenth is 10

Step-by-step explanation:

logic also I don't think there is a next step

Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Anthony made a total of $80 in commission and sold 5 more accessories than phones. Graphically solve a system of equations in order to determine the number of phones sold, x,x, and the number of accessories sold, yy.

Answers

Answer:

There were 5 phones sold and 10 accessories sold.

Step-by-step explanation:

Solve
- 2 + 3x + 24 = x

Answers

Answer:

x=-1

Step-by-step explanation:

thank me later it correct did the workhope this works

Click on the multiplication sentence that helps you solve this problem.
3/7 divided by 4/5

Answers

Answer:15/28

Step-by-step explanation:

3/7 divided 4/5

3/7x5/4=15/28

Answer: 3/7 x 5/4

Step-by-step explanation: 3/7 ➗ 4/5 = 15/28

3/7 x 5/4 = 15/28

Max has the 14 stickers shown
at the right. He wants to put an
equal number of stickers on each
of 2 posters. Draw circles in each
box to represent the stickers Max
puts on each poster.

Answers

Answer:

7 Stickers on Each Poster

Step-by-step explanation:

Max has 14 stickers, and 2 posters. You have to divide 14 by 2. Or, put one sticker in each box until you run out of stickers. Eventually, you'll end up with 7 stickers in each poster.

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?​

Answers

It is 28 feet far above form the ground.

1225=441+B^2

1225-441=B^2

784=B^2

√784=√B^2

28=B

B=28 feet

Other Questions
How would you classify an employee who is punctual, has respect for oneself and others, and takes initiative? A.Good academic skills B.Excellent technology skills C.Strong personal skills D.Superior athletic skills Part A: Predict the phenotype that will be expressed by a chicken that is heterozygous (IBIW) for feather color. Part B: Suppose a solid white hen (IWIW) mates with a solid black rooster (IBIB). Predict the percentage of their offspring that will express a co-dominant phenotype. In your answer, be sure to explain the reasoning behind your prediction. Part C: Describe how co-dominance is different from incomplete dominance. Type your responses to parts A, B, and C in the box below. an effect of the great peasants revolt was that X/5=15 Question 7 options: 20 3 75 10 if jessie had 3 feet of string and maxine had 34 inches of string, who had more string Crude oil imports to one country from another for 20092013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = 33t2 + 800t 3,000 thousand barrels per day (9 t 13) According to the model, approximately when were oil imports to the country greatest? what is f(0) ?12 only 2 and 3 only-2 , -1, 1 and 2 only -2,-1, 1, 2 and 12plzzzz help Why do you think it took until 1996 and 2002 for Henry Johnson to bedecorated for his bravery? 2. It takes 39,090 gallons of water to manufacture a new car. Sammy thinks that rounds up to about 40,000gallons. Susie thinks it is about 39,000 gallons. Who rounded to the nearest thousand, Sammy or Susie?Use pictures, numbers, or words to explain. Factor mn+7nm7 by grouping. Combine like terms in the following equation:18 5W + 7w - 4 = 28 the area of triangle LMN is 26 square units. the triangle is reflected across LM and then translated 3 units to the right and 4 units up. what is the area of the resulting triangle? 1. Reflection Question: What are some actions or activities that can affect your heart rate and respiratory rate and cause either or both of them to increase or decrease? This is my algebra I have a A+ but I wanna keep it up A purposeful systematic process for collecting information on the important work related aspects of a job is called job description. TURE OR FALSE why did people initially think it was a freak accident?on 9/11 a group of independent organism in a perticular environment Provider referral, self-referral, and contract referral are three strategies used to inform past partners of possible STI infection.Please select the best answer from the choices provided.TF what is (4x^2y^3)^2= Matt's cube, after 5 trial, had an average destiny of 7.40. g/cm what is it made of ?