One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?

Answers

Answer 1

Answer:

[tex]x=43[/tex]

Step-by-step explanation:

Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.

Therefore, we can set both equations equal to each other:

[tex]2x-5=81^{\circ}[/tex]

Add 5 to both sides:

[tex]2x=86[/tex]

Divide both sides by 2:

[tex]x=\frac{86}{2}=\boxed{43}[/tex]


Related Questions

someone help me please with this algebra problem

Answers

Answer:

7 in.

Step-by-step explanation:

2L + 2W = 16

Try L = 7

2(7) + 2W = 16

14 + 2W = 16

2W = 2

W = 1

If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.

Try L = 8

2(8) + 2W = 16

16 + 2W = 16

2W = 0

W = 0

A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.

When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.

Answer: 7 in.

2/3 ÷ 8/9 with explanation and steps... ​

Answers

Answer:

2/3 ÷ 8/9

[tex] \frac{2}{3} \div \frac{8}{9} [/tex]

[tex] \frac{2}{3} \times \frac{9}{8} [/tex]

[tex] \frac{1}{1} \times \frac{3}{4} [/tex]

[tex] \frac{3}{4} [/tex]

hope this will help you more

WORTH 25 POINTS!!!!!! PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....


B) (3x+.....)^2=....*x^2+.....+49y^2

Answers

Answer:

(3x + 7y)^2 =  9 x^2 + 42xy + 49y^2

Step-by-step explanation:

3( − 3) − 5 >− 3 − 6
(show your work)

Answers

Answer:

x > 3

Step-by-step explanation:

3x-9-5x > -3x - 6

3x-5x+3x > -6+9

x > 3


Solve each equation. Round to four decimal places.
e^x=8

Answers

Answer:

x ≈ 2.0794

Step-by-step explanation:

Given

[tex]e^{x}[/tex] = 8 ( take ln of both sides )

ln [tex]e^{x}[/tex] = ln 8

x lne = ln 8 [ lne = 1 ]

x = ln 8 ≈ 2.0794 ( to 4 dec. places )

Answer:

x ≈ 2.0794

Step-by-step explanation:

[tex] \small \sf \: e {}^{x} = 8[/tex]

Take the natural logarithm of both side of equation

[tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex]

[tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]

x = In( 8 )

Write the number in exponential form.

x = In(2³)

Use In(aⁿ) = n × In ( a ) to transform the expression.

x = 3In( 2 ) ≈ 2.07944

Round to four decimal places = 2.0794

find the size of each of the unknown angles
plz give me solution​

Answers

Answer:

80°

Step-by-step explanation:

See the picture

It should be self-explanatory

The top part of the angle a is:

35° + 165° - 180° = 20°

The bottom part of the angle a is:

180° - 120° = 60°

The measure of angle a is:

20° + 60° = 80°

Firstly, draw a line parallel to UT

Something like in the picture

Now,

a = BNU

Also,

BNU + BNM = 165°

Given: ABCD is a parallelogram.

Prove: ∠A and ∠D are supplementary.

Parallelogram A B C D is shown.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)

The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total of $480. How much money did they have after they subtracted the amount they spent for the trash cans and plastic bags? What other information is needed to solve this problem? 1. The number of yards they cleaned up 2. The cost of the trash cans and plastic bags 3. The number of people who were working 4. The cost of cleaning up one yard

Answers

Answer:

2). The cost of the trash cans and plastic bags.

Step-by-step explanation:

As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.

Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?

Answers

Answer:

El área es 2 veces el cuadrado del ancho del rectángulo.

Step-by-step explanation:

El área de un rectángulo viene dado por:

[tex] A = a*l [/tex]

En donde:

a: es el ancho

l: es el largo

Si el largo es el doble del ancho:

[tex] l = 2a [/tex]

Entonces el área es:

[tex] A = a*l = a*(2a) = 2a^{2} [/tex]

Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.

Espero que te sea de utilidad!  

resolve the factors ( xy+z)^2 (y-xz)^2​

Answers

Answer:

=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2

Make me brainliest

Answer:

x2y-x2z-xy2+xz2+y2z-yz2

step by step

step.1

Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)

step2

Equation at the end of step2

(((x2)•(yz))+yz•(z-x))+z2•(x-y)

step.3

equation at the end of step 3.

(x2•(y-z)+y2•(z-x))+z2•(x-y)

step4

trying to factor by pulling out:

factoring: x2y-x2z-xy2+xz2+y2z-yz2

thought fully split the expression at hand into groups,each group having two terms:

group1: y2z-yz2

group 2: x2y-x2z

group 3: xz2-yz2

pull out from each groups separately:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:(x-y)•(z2)

looking for common sub-expressions:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:( x-y)•(z2)

bad news !! factoring by pulling out fails:

The groups have no common factor and cannot be added up to form a multiplication.

final result:

x2y-x2z-xy2+xz2+y2z-yz2

The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit

Answers

Answer: [tex]4[/tex] pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]

Find the derivative of the function to find out the critical points

[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]

Thus, for 4 pair of shoes profit is maximize.

Answer:

4 pairs of shoes.

Step-by-step explanation:

The two triangles below are congruent. Which of the following are congruent by CPCTC?

Answers

Answer:

B.

Step-by-step explanation:

If you put the second triangle upright then turn it over (as if you were flipping a pancake). That would make B equal to R.

C would equal S

A would equal T

and

B would equal R

Answer:

b = R,  mark me brainiest cause we besties

Step-by-step explanation:

Someone help me?????

Answers

Answer:

A. y = | x - 6 | - 3

Step-by-step explanation:

Hope this is helpful

Answer:

D

Step-by-step explanation:

when you look at the graph you can notice a kind of a curve at that point x is -6 and Y is -3 so what u have to do is replace -6 in position of x in the 4 answers and the one who's Y = -3 is your answer

Please answer this, I need help

Answers

Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

Is (-4, 2) a solution of 4x + 5y <_-7?
Choose 1 answer:
Yes or No

Answers

Answer:

no

Step-by-step explanation:

substitute the (x,y) values into the inequality.

4(-4)+5(2) less than or equal to -7

-16+10≤-7

-6≤-7 not a valid answer so ((-4,2) is not a solution

The white triangle drawn on the road sign in the picture has a helght of 8" and a base of 5". The red rim around the edge adds another Inch to each dimension making the base of the larger triangle 12 inches. Ignoring the white edge around the very outside, what is the area of the red border? (Hint: find the area of the whole triangle and subtract the area of the smaller triangle inside it.​

Answers

Answer:

The answer would be

Step-by-step explanation:

you multiple 8 and 5 then you multiple 12 (inches) then subtract the inch that makes up 12 let me know if you need help

PLEASE I NEED THIS NOW 50 POINTS
Write your answer as a function
Andy is wrapping gifts for his family. He ties 25 inches of ribbon around each gift. Which function gives the relationship between the number of
gifts (g) and the length of ribbon used (9)?
The function representing the relationship between the length of ribbon and the number of gifts is ?

Answers

25g = r , i think.

I would give an explanation but you seem in a hurry! Have a good day and good luck!

Find the angle marked with the ? mark

Answers

Answer:

53 degrees

Step-by-step explanation:

Angle N = angle E

because angle made by joining end points of same chord on circumference are always equal.

so angle E = 37

Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)

Now in Triangle DEC. Sum if all the angles of triangle us 180

Angle D + angle E + ? = 180

37 + 90 + ? = 180

127 + ? = 180

? = 180 - 127

? = 53 degrees

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)? ​

Answers

Answer:

The answer is B

B) x>3

Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation

Answers

Answer:

Step-by-step explanation:

Second hand on a clock rotates at rate 360 degrees per 60 seconds.

360 degrees - 60 sec

x degrees - 15 sec

90 clockwise rotation (none hand of a clock rotates counter-clockwise :))

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Evaluate the expression, m" ifm = 8 and n = 3.

Answers

Answer:

512

Step-by-step explanation:

8^3 = 512

.................

Answer:

512

Step-by-step explanation:

Given

[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression

= 8³

= 8 × 8 × 8

= 64 × 8 = 512

a. 65
b. 67
c. 43
d. 23

Answers

The answer for this problem is a A.65

Write the expression as an exponent:

5^8 x 25
6^15 x 36

Answers

Answer:

a.) 5¹⁰

b.) 6¹⁷

Step-by-step explanation:

a.) 5⁸ × 25

Write 25 in the exponential form with the base of 5.

5⁸ × 5²

To calculate product use exponent rule

5⁸+²5¹⁰

b.) 6¹⁵ × 36

Similarly, 6¹⁵ × 36

Write 25 in the exponential form with the base of 6.

6¹⁵ × 6²

To calculate product use exponent rule.

6¹⁵ + ²6¹⁷

Answer:

[tex] \displaystyle {5}^{10} [/tex]

[tex] \displaystyle {6}^{17} [/tex]

Step-by-step explanation:

Question-1:

we want to rewrite the following expression as an exponent

[tex] \displaystyle {5}^{8} \times {25}[/tex]

remember that 25 is the square of 5 therefore

[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]

recall that,

[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

with that law we obtain:

[tex] \displaystyle {5}^{8 + 2} [/tex]

simplify addition:

[tex] \displaystyle {5}^{10} [/tex]

Question-2:

likewise Question-1 36 is the square of 6 Thus,

[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]

similarly apply law of exponent:

[tex] \displaystyle {6}^{15 + 2} [/tex]

simplify addition:

[tex] \displaystyle {6}^{17} [/tex]

hence,

we have written the expression as an exponent

20 POINTS
Find the volume of the prism.

Answers

Answer:

v=1/2(13.1+25.4)(17)(15)

v=1/2(38.5)(255)

v=4,908.7 ft³

OAmalOHopeO

Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?

Answers

Answer:

$20

Step-by-step explanation:

5 copies cost $1.

25 copies cost $5.

So you have to do 100/5=$20 for 100 copies.

Answer:The answer is 20

Step-by-step explanation:

Il y a 5ans Thomas avait 5 fois l'âge de benoit aujourd'hui Thomas a 3 fois l âge de Benoît quel est l'âge de benoit

Answers

Répondre:

Benoit a 10 ans

Explication étape par étape :

Laisser :

Âge de Thomas = x

Benoit age = y

il y a 5 ans :

x - 5 = 5 (y - 5)

x - 5 = 5y - 25 - - (1)

Aujourd'hui :

x = 3y - - (2)

Mettez x = 3y dans (1)

3 ans - 5 = 5 ans - 25

Recueillir des termes similaires

3 ans - 5 ans = - 25 + 5

-2a = - 20

Diviser les deux côtés par - 2

y = 10

Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.

Answers

Step-by-step explanation:

here is the answer to thy question. Feel free to ask for more

Can someone help me?

Answers

Answer:

C

Step-by-step explanation:

its asking for y, on the graph, the line is placed on point 4

Solve for x.
3х - 4 = 13

Answers

[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x - 4 = 13[/tex]

[tex]➺ \: 3x = 13 + 4[/tex]

[tex]➺ \: 3x = 17[/tex]

[tex]➺ \: x = \frac{ 17}{3} [/tex]

[tex]➺ \: x = 5 \frac{2}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]➺ \: 3x - 4 = 13[/tex]

[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]

[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]

[tex]➺ \: 17 - 4 = 13[/tex]

[tex]➺ \: 13 = 13[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer: X = 6
Hope it helps:)

Please help


[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]

Answers

Answer:

a²+b²-18greaterthan or equal to 6a-6b
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