In this picture, m∠XOZ = 77° and m∠YOZ = 40°. If m∠XOY = (5x + 16)°, what is the value of x?

A. 20.2
B. 37
C. 4.2
D. 2.1

PLSSSS HELP!!

Answer:

x= -4

Step-by-step explanation:

adding the two equations,

x+x+y-y=-10+2

2x= -8

x=-4

Answer:

x = 11°

Step-by-step explanation:

Linear Pair

Two angles adjacent to each other that form a straight line.

The sum of angles of a linear pair is always equal to 180°.

⇒ m∠C = 180° - 33° = 147°

Alternate Interior Angle Theorem

When two parallel lines are cut by a transversal, the alternate interior angles are congruent.

From inspection of the diagram, we can see that AB ║ DC.

Therefore, AE is the transversal.

So m∠A = 33°

Sum of interior angles of a triangle is 180°

Therefore, the top angle of the triangle = 180° - m∠A - 2x

                                                                  = 180° - 33° - 2x              

                                                                   = 147° - 2x

Angles around a point add up to 360°

⇒ 33° + m∠C + 5x + (147° - 2x) = 360°

⇒ 33° + 147° + 5x + 147° - 2x = 360°

⇒ 327° + 3x = 360°

⇒ 3x = 33°

⇒ x = 11°

Answer:

x = 11°

Explanation:

============                       [ total interior angle in a triangle is 180° ]

solve for x

Finding the complex numbers and subtracting them, it is found that z2 - z1 = (0, -4).

They are in the format:

z = a + bi.

In which:

In a graph, the real part is the horizontal axis, while the imaginary part is the vertical axis. Hence, the numbers are given by:

To find the result of the subtraction, we subtract each part, hence:

z2 - z1 = (2,1) - (2,5) = (2 - 2, 1 - 5) = (0, -4).

More can be learned about complex numbers at https://brainly.com/question/25572463

Answer:

Step-by-step explanation:

Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².

Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.

[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]

[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]

Hence,

[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.

Answer:

1/7

Step-by-step explanation:

hope this helps x have a great day

Answer:

1/6

Step-by-step explanation:

Check the attachment.

Explanation:

[tex]\dashrightarrow \sf \ \ 2t-t-t+5t+6t+10t[/tex]

combine similar terms

[tex]\dashrightarrow \sf \ \ 5t+6t+10t[/tex]

addition

[tex]\dashrightarrow \sf \ \ 21t[/tex]

Answer:

21t

Step-by-step explanation:

2t-t-t+5t+6t+10t

=2t-t-t=0

Then,

         5t+6t+10t = 21t ans.

Why do the leaves drop:

Hope that helps!

Answer: a=4

b=1600x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The simplest fraction is 11/20

Step-by-step explanation:

Given that,

Guests order the signature dish is 55%.

We need to find simplest fraction of guests who order signature dish.

Let the fraction be X.

According to above information, calculation of data are as follows,

x=55/100

x=11/20

So, the simplest fraction of guests is 11/20

Learn more : brainly.com/question/13173500

Answer:

17,060$

Step-by-step explanation:

#CarryOnLearning Free to ask

Answer:

5/28

Step-by-step explanation:

1/1 represents the whole amount of tickets.

4/7 are sold on Thursday.

an additional 1/4 are did on Friday.

fraction of available tickets on Saturday are therefore

1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1

that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.

so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.

we could have also tried to bring both fractions to the same denominator, and found that this is 28.

and then

4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =

= 16/28 + 7/28 = 23/28

and the whole is 28/28.

so we have 28/27 - 23/28 = 5/28 left.

surprise, surprise, it is the same result ...

The number of lines and triangles illustrates combination

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated  using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated  using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points

Read more about combination at:

https://brainly.com/question/11732255

Answer:

Step-by-step explanation:

Answer:

4x+7=3x+7

Step-by-step explanation:

-3(2x-5)=15-6x is infinite solution

top left is x=-3

top right is x=5 5x

Answer:

» 15

Step-by-step explanation:

» 5*3=15

hope this helps.

Answer:

19.6

Step-by-step explanation:

According to the

Cosine Theorem

e² = d² + f² - 2dfcos /_E

°Cos 13° = 0.974

e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974

=752.66 - 366.516

= 386.14

e = 386.14 = 19.6

Answer:

Answer is {C}

Step-by-step explanation:

Answer: y=6

Explanation:

Answer:

i think its 1.7 if this is correct can u mark me brainliest

Step-by-step explanation:

Using separation of variables, it is found that the expression for the mass, M, at any time t, is given by:

[tex]M(t) = 150e^{-kt}[/tex]

In separation of variables, supposing a differential equation in the format [tex]\frac{dy}{dx}[/tex], we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is:

[tex]\frac{dM}{dt} = -kM[/tex]

Then, applying separation of variables:

[tex]\frac{dM}{M} = -k dt[/tex]

[tex]\int \frac{dM}{M} = \int -k dt[/tex]

[tex]\ln{M} = -kt + C[/tex]

[tex]M(t) = M(0)e^{-kt}[/tex]

The initial mass is of M(0) = 150, hence:

[tex]M(t) = 150e^{-kt}[/tex]

More can be learned about separation of variables at https://brainly.com/question/14318343