The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answer:

See below.

Step-by-step explanation:

To simplify a long algebraic expression, you could use many methods. My personal choice is to use distribution in order to follow PEMDAS and eliminate any parenthesis within my equation. I also like to combine like terms to shorten the equation as much as possible.

Inverse operations are extremely helpful in isolating variables and simplifying equations. They can be used in many scenarios from finding the length of an object with only a formula and one side (ex. a triangle with only b and A given) to having distance and speed to figure out the time it will take to get to your destination.

Answer:

[tex]log_372 = 3.8928[/tex]

Step-by-step explanation:

Given

[tex]log_38 = 1.8928[/tex]

Required

Evaluate [tex]log_372[/tex]

We have:

[tex]log_372 = log_3(8 *9)[/tex]

Apply law of logarithm

[tex]log_372 = log_38 +log_39[/tex]

Express 9 as 3^2

[tex]log_372 = log_38 +log_33^2[/tex]

Evaluate the exponents

[tex]log_372 = log_38 +2log_33[/tex]

[tex]log_33 = 1[/tex].

So:

[tex]log_372 = log_38 + 2 * 1[/tex]

[tex]log_372 = log_38 + 2[/tex]

Substitute [tex]log_38 = 1.8928[/tex]

[tex]log_372 = 1.8928 + 2[/tex]

[tex]log_372 = 3.8928[/tex]

Answer:

-2

Step-by-step explanation:

y=k/x

Replace y with 7 and x with -2

7=k/-2 gives you -14

Then you can replace k with -14 and x with 7

y=-14/7 gives you -2

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

9x - 3x - 40 = 3x - 3x + 20

6x - 40 = 20

6x - 40 + 40 = 20 + 40

6x = 60

6x / 6 = 60 / 6

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

9(10) - 40

90 - 40

50

3x + 20

3(10) + 20

30 + 20

50

Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer: 10

Step-by-step explanation:

least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.

Answer:

12

Step-by-step explanation:

Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers

:)

Answer:

B is the answer that is incorrect and must be rejected.

Step-by-step explanation:

A trapezoidal shape need not have a line of symmetry to be a trapezoid.

Answer:The answer is c

Step-by-step explanation:

The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.

Volume is the three-dimensional space enclosed by a three-dimensional object.

We have to find the volume of the box and the volume of the storage space.

Volume = length × breadth × height

= 24 × 18× 16 in³

=6912 in³

Volume = length × breadth × height

= 400 × 240 × 60 ft³

= 5760000 ft³

Therefore, 5760000 ft³ = 5760000 × (12)³ in³

Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³

= 1440000 boxes.

Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.

Learn more about volume here-https://brainly.com/question/25736513

#SPJ2

Answer:

PC = 4 cm

Step-by-step explanation:

AP = 4 cm

Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.

PC = AP because corresponding parts of congruent triangles are congruent.

Answer: $150

Step-by-step explanation:

$3,000 x 5% = 150

Answer:

33 + 56 + 65 = 154

Answer:

133

Step-by-step explanation:

180 - 47 = 133

Answer:

133°

Step-by-step explanation:

If we assume the the given to adjacent lines to be parallel then ,

Therefore :-

=> x = 180° - 47°

=> x = 133° .

Answer:

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

[tex]3\frac{1}{6}=\frac{19}{6}[/tex]

Step-by-step explanation:

In [tex]2\frac{2}{5}[/tex] you multiply 2x5 which equals 10 and then you add 10+2=12

2x5=10

10+2=12

=[tex]\frac{12}{5}[/tex]

You do the same thing multiply the denominator by the whole number and whatever you get when you multiply add it with the numerator.

3x6=18

18+1=19

=[tex]\frac{19}{6}[/tex]

Answer: the answer is A

Step-by-step explanation:

Answer:

7.823 8.019

Step-by-step explanation:

Those two both will round up to 20 in the hundredths place and both round to 8.

Answer:

40%

Step-by-step explanation:

it ads up to 90, so 50+x=90   x=40

Answer:

40° as it is a right angle

then 90 - 50= 40

Answer:

Step-by-step explanation:

Answer:

length=22

width=21

Step-by-step explanation:

let, length be x and width be y.

x=2y-20

2(x+y)=86

or, 2(2y-20+y)=86

or, 2(3y-20)=86

or, 6y-40=86

or, 6y= 126

or, y= 126/6

y= 21

x= 2×21-20 = 42-20 =22

Answer:

option c

x + 4 = 64

and

option e

x = 60  

Step-by-step explanation:

Given in the question an expression

3∛x+4 = 12

∛x + 4 = 12/3

∛x + 4 = 4

Take cube on both sides of the equation

∛(x + 4)³ = 4³

x + 4 = 64

x = 64 - 4

x = 60  

Answer:

42

Step-by-step explanation:

divide the total by the cost of each invite

Answer:

f

(

x

)

=

2

, means, whatever be the value of

x

, f(x)=2#.

∴

f

(

−

4

)

=

2

.

Answer:

The terms in #4 are 2500, 11t, and -3w

The terms in #5 are 17 and 4d

Answer:

B) x + 3, x > -3

Step-by-step explanation:

I just took a test with this question on it and got it right.

Hope this helps! :)

If function f is written as a piecewise function, it will include x + 3, x > -3

The absolute value function is given as:

f(x) = | x + 3 |

Given that the function is an absolute value function, this means that:

|x + 3| > 0

Remove the absolute sign

x + 3 > 0

Subtract 3 from both sides

x > -3

Hence, if function f is written as a piecewise function, it will include x + 3, x > -3

Read more about absolute value functions at:

https://brainly.com/question/10538556

Answer: 1245 :)

Step-by-step explanation:

Answer:

la respuesta es 1245

567+678=1245

a) SR

b) QR

c) RW and RV

RT and RS

RU and RQ

Answer:

x=26.44

rounded to the nearest hundredth.

Step-by-step explanation:

Soh Cah Toa

We need opposite for x and adjacent for 44

Length × Tan (Angle)

44 × Tan (31)=26.43786724

Answer:

A

Step-by-step explanation:

Answer:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Step-by-step explanation:

hi

Answer:

9,18,27,36,45,54,63,72,81,90

Step-by-step explanation:

Answer:

I believe the answer is B