∠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

Look at the photo HELPPPP I NEED IT RNN!!!

Answers

Answer:

-150

Step-by-step explanation:

What is the subsets of 10

Answers

Answer:hi

Step-by-step explanation:

Corporate bonds from Dagofi Radar are selling at 88.354, bonds from Chambers Translation are selling at 112.894,
and bonds from Essentia Inc. are selling at 96.262. If Roger wants to buy two bonds with a par value of $1,000 each
from Dagofi Radar, five bonds with a par value of $500 each from Chambers Translation, and four bonds with a par
value of $1,000 each from Essentia Inc., how much can he expect to spend?
a. $8,439.91
b. $8,500.00
C. $2,975.10
d. $9,343.97

Answers

Answer:

(A) $8,439.91

Step-by-step explanation:

Just took test

please help me im confused​

Answers

Answer:

it a d) option i.e d) AAS test

make me as brilliest and follow me....m

The double number line shows that
4
44 pounds of almonds cost
$
34
$34dollar sign, 34.

Answers

Answer:

round them up

Step-by-step explanation:

Point L is on line segment km. Given km =5x+10, LM=4x, and KL=3x, determine the numerical length of kL

Answers

Answer:

KM= KL+LM

5x+10=3x+4x

5x+10=7x

2x=10

x=5

now

kl=3x=3*5=15

Solve for x: 3.8x − 2(x − 9) = 4.4x + 5

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3.8x-2(x-9)=4.4x+5[/tex]

Distribute the -2:

[tex]3.8x+(-2x+18)=4.4x+5[/tex]

Combine like terms on the left:

[tex]1.8x+18=4.4x+5[/tex]

Subtract 1.8x from both sides. The left cancels:

[tex]18=2.6x+5[/tex]

Subtract 5 from both sides. The right cancels:

[tex]13=2.6x[/tex]

Divide both sides by 2.6:

[tex]x=13/2.6[/tex]

Simplify (multiply both layers by 10 to get rid of the decimal):

[tex]x=130/26[/tex]

Reduce (divide both layers by 26):

[tex]x=5[/tex]

So, the value of x is 5.

Answer:

5

Step-by-step explanation:

Step 1:

3.8x - 2 ( x - 9 ) = 4.4x + 5

Step 2:

3.8x - 2x + 18 = 4.4x + 5

Step 3:

1.8x + 18 = 4.4x + 5

Step 4:

18 = 2.6x + 5

Step 5:

13 = 2.6x

Answer:

5 = x

Hope This Helps :)

If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?

Answers

Answer:

12

Step-by-step explanation:

UV + VW = UW

[tex]5+(4x-1)=5x+2[/tex]

Remove brackets:

[tex]5+4x-1=5x+2[/tex]

Solve [tex]5-1=4:[/tex]

[tex]4x+4=5x+2[/tex]

Subtract 4 from both sides:

[tex]4x+4-4=5x+2-4[/tex]

[tex]4x=5x-2[/tex]

Subtract 5x from both sides:

[tex]4x-5x=5x-2-5x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

[tex]UW=5x+2=5(2)+2=10+2=12[/tex]

Which set of ordered pairs represents a function?
O {(2,-2), (1,5), (-2, 2), (1, -3), (8, -1)}
O {(3,-1), (7, 1), (-6, -1), (9, 1), (2, -1)}
O {(6, 8), (5, 2), (-2,-5), (1, -3), (-2, 9)}
O {(-3, 1), (6, 3), (-3, 2), (-3,-3), (1, -1)}
pls I need help

Answers

The second one because the x can’t be repeated but the y can be repeated.

HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved?

Answers

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]

Start by adding 1/4 to both sides.

[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]

Multiple to get the common denomiators

[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]

Now we can add the fractions.

[tex]\frac{2}{3}x = \frac{5}{12}[/tex]

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]

The left side will become x as 3/2 and 2/3 cancel each other out

[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]

Multiple the right side to get a value for x

[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]

If you notice we can simplfy the fraction to 5/8

What is the distance from the origin to point A graphed on the complex plane below?

Answers

Answer: B

Step-by-step explanation:

Answer:

option B, square root of 13

Step-by-step explanation:

i took the quiz on edge and got it right. :,)

Write each number as a product of primes 1. 120 2. 160

Answers

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

When x is decreased by 2 and then that number is divided by 2, the result is 2. What is the value of x?

Answers

Answer:

x=6

Step-by-step explanation:

6 minus 2 is 4 and 4 divided by two is 2

Three students have proposed these ways to describe when two lines l and m are perpendicular: Read screenshot for info. Explain why each of these definitions is correct. What are some of the advantages and disadvantages with each?

Answers

Answer:

a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle

The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other

The advantage of the above definition are;

1) It is simply stated and therefore, will be easier to understand

2) It can be easily used to test the perpendicular relationship between two objects

Disadvantages

1) It gives limited description of the other characteristics of the line

2) It does not state if the lines extend past each other after the point at which they cross

b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles

The above definition is correct as it meets the condition of two lines to be perpendicular to each other

Advantages

1) It clearly describes the relationship between the lines and their appearance

2) It indicates that the sun of angles at the point of intersection is 360°

Disadvantage

1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point

c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself

The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line

Advantages

1) It defines the condition of perpendicularity without the requirement for measuring the angles

2) It states the symmetrical condition of perpendicular lines about the vertical axis

Disadvantages

1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.

Step-by-step explanation:

use the point slope form to find the linear equation of a line that passes through the points 2,-1 and 10,7

Answers

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

Determine whether the underlined numerical value is a parameter or statistics.

The average annual salary of 50 of a company's 800 employees is $54,000.

Answers

Answer:

The numeric value is a statistic because the data set of salaries of 50 employees is a sample

Step-by-step explanation:

50 of a company's 800 employees is $54,000.

800 is the population, of all the employees of the company

$54,000 is the value of 50 employees which sample or subset is of 800 employees

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.

Answers

1.40 x 21 passes = 29.40 for passes.

38.40 - 29.40 = 9.00

He spent $9.00 on the card

Find the prime factorization of the following number. 110

Answers

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly's current age in terms of Nancy's? Which expression represents Molly's current age in terms of Zander's? Nancy is currently 10 years old, and Zander is 14. How old is Molly?​

Answers

Answer: 1.) 2n 2.) z+6 3.) 20 years old

Step-by-step explanation:

Answer:

answer one: 2n

answer two: z + 6

answer three: 20 years old

Step-by-step explanation:

edge 2020

If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.

Answers

Given :

m1 = ( 7x - 19 )° .

m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle m1 and m2 is not given .

Let , us assume that sum of m1 and m2 is 180° .

So ,

[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]

Angle m2 = (24.25  + 5 )° = 29.25° .

Therefore , m2 = 29.25° .

Hence , this is the required solution .

Answer:

Given :

∠m1 = ( 7x - 19 )° .

∠m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle ∠m1 and ∠m2 is not given .

Let , us assume that sum of ∠m1 and ∠m2 is 180° .

So ,

Angle ∠m2 = (24.25  + 5 )° = 29.25° .

Therefore , ∠m2 = 29.25° .

Hence , this is the required solution .

Step-by-step explanation:

Find the value 10 4 exponent

Answers

Answer:
=10^4

=10×10×10×10
=
10
×
10
×
10
×
10

=10000

One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a single remote valley in northern Peru (see photo below). In this valley the mean density is 3 spatuletails per 100-hectare quadrat. (a) What is the probability a random quadrat contains less than 3 spatuletails

Answers

Answer:

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density [tex]\lambda =[/tex] 3

Let x be the random variable that follows a Poisson distribution.

Therefore:

[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex]     for x =1, 2, 3...

However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:

[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]

P(x < 3) = 0.42319

scientific notation

Answers

Answer:

1.45

Step-by-step explanation:

not sure but trying to help :)

Find surface area of the regular pyramid plz help ASAP

Answers

Answer:

B.  3,157 in^2

Step-by-step explanation:

surface area of a pyramid shown = 3x lateral area + base area

given:

s1 = s2 = s3 = 42 in

L = 38 in

lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in

base area = √3 * s^2

                          4

                 = √3 * 42^2

                             4

                 = 763.834 sq. in

therefore,

surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2

Answer:

= 3,157 in^2

Step-by-step explanation:

surface area  = 3x lateral area + base area

given:

side lengths area s1 = s2 = s3 = 42 in

slant height = 38 in

lateral area = ( 1/2 * 42 * 38 )

                   = 798 sq. in

base area = (√3 * s^2 ) / 4

                  = (√3 * 42^2 ) / 4

                 = 763.83 sq. in

surface area = 3x 798 + 763.834

                     = 3,157 in^2

Is this correct as well?

Answers

Answer:

yes it is

Step-by-step explanation:

which equation is equivalent to the given expression

[tex]x {}^{2} - 6x = 8[/tex]
A.
[tex](x - 3) {}^{2} = 17[/tex]
B.
[tex](x - 6) {}^{2} = 20[/tex]
C.
[tex](x - 3) {}^{2} = 14[/tex]
D.
[tex](x - 6) {}^{2} = 44[/tex]

Answers

Answer:

[tex](x - 3)^{2} = 17[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 6x = 8 \\ {x}^{2} - 6x + 9 = 8 + 9 \\ (x - 3)^{2} = 17[/tex]

Solve for x.
-3(2x – 1) – 3x – 4 = 17

Answers

The Answer Is x=-2

Hope This Help's

Answer:

[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]

Step-by-step explanation:

[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]

[tex]: \implies{ - 9x - 1 = 17}[/tex]

[tex]: \implies{ - 9x = 17 + 1}[/tex]

[tex]: \implies{ - 9x = 18}[/tex]

[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]

Incorrect answers will be reported, first correct answer will get brainiest.

Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?

They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because flg(x)) and g(f(x) are not equal.

Answers

Answer:

  They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

In order for the composition of the functions to be commutative, we must have ...

  f(g(x)) ≡ g(f(x))

for all values of x.

Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.

Answer:

D. edg 2022

Step-by-step explanation:

Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?​

Answers

Answer:

50.75

Step-by-step explanation:

253.75/5

State the horizontal asymptote of the rational function.
f(x) = quantity x plus nine divided by quantity x squared plus four x plus two

Answers

Answer:

there is no meme

Step-by-step explanation:

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