What is this called ........................

Answer:

Step-by-step explanation:

(1). m∠5 = 40° → (a) Given

m∠2 = 140° → (b) Given

∠5 and ∠2 are supplementary angles → (c) Interior angles on the same side of the transversal.

∠5 and ∠2 are the same side interior angles → (d) Both angles are supplementary

a║b → (e) By interior angles theorem of the parallel lines.

(2).            Statements                 Reasons

   1.     l║n                               1. Given

   2.    ∠2 ≅ ∠6                      2. Corresponding angles  

   3.    ∠4 ≅ ∠2                      3. Vertical angles

   4.    ∠6 ≅ ∠4                      4. Transitive property of equality

(3).         Statements                Reasons

     1.       ∠1 ≅ ∠5                   1. Given

    2.       ∠4 ≅ ∠1                  2. Vertical angles

    3.       ∠4 ≅ ∠5                 3. Alternate interior angles

    4.       p║r                         4. Definition of parallel lines

Answer:

(-9,10),(-7,0)(0,-35)(5,-60)

Step-by-step explanation:

Answer:

-7/4x-68

Step-by-step explanation:

Answer:

Change in temperature is +23 degrees.

Answer:

Step-by-step explanation:

To solve this, we set up an equation:

T = 7 - -16

This can be rewritten as:

T = 7 + 16

T = 23

Answer:

B) (-∞,∞)

Step-by-step explanation:

The domain is the x-values, so it’s all real numbers in this graph.  

I would use interval notation and choose B) (-∞,∞)

The range is the y-values, so it’s (2,-1), if that’s the next question.

Answer:

Step-by-step explanation:

The givens form a right triangle. The operational definition is The opposite over the hypotenuse, where the hypotenuse is the unknown.

sin(x) = 21000/hypotenuse

sin(55) = 21000 / hypotenuse

hypotenuse * sin(55) = 21000

hypotenuse = 21000/sin(55)

hypotenuse = 25636 feet.= 26000 feet rounded.

The answer does make sense. The hypotenuse is larger than the given height.

Given :

Two equation [tex]x_1 +5x_2 =7[/tex] and [tex]x_1 - 2x_2 = -2[/tex] .

To Find :

The point of intersection of these lines .

Solution :

We will use elimination method :

From equation 1 :

[tex]x_1=7-5x_2[/tex]

Putting value of [tex]x_1[/tex] in equation 2 we get :

[tex](7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}[/tex]

Putting value of [tex]x_2[/tex] in equation 1 we get :

[tex]x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}[/tex]

Therefore , point of interaction is [tex](\dfrac{4}{7},\dfrac{9}{7})[/tex] .

Hence , this is the required solution .

The point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]

We will solve the given system of equations.

Subtract the second equation from the first one:

[tex]\left(x_{1}+5x_{2}\right)-\left(x_{1}-2x_{2}\right)=7-\left(-2\right)\\x_{1}+5x_{2}-x_{1}+2x_{2}=7+2\\7x_{2}=9\\x_{2}=\frac{9}{7}[/tex]

Then we plug [tex]x_{2}=\frac{9}{7}[/tex] in the given first equation.

[tex]x_{1}+5x_{2}=7\\x_{1}+5\left(\frac{9}{7}\right)=7\\x_{1}+\frac{45}{7}=7\\x_{1}=7-\frac{45}{7}\\x_{1}=\frac{4}{7}[/tex]

So the point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]

Learn more: https://brainly.com/question/16236436

Answer:

reject the null hypothesis

Step-by-step explanation:

Total observation = 27+49+24 = 100

Expected Frequency :

Half Pint = 100 × 0.4 = 40

XXX = 100 × 0.4 = 40

Dark night = 100 × 0.2 = 20

The Chi-square goodness-of-fit test can be computed as follows:

             Observed              Expected                  [tex]X^2 = \dfrac{(O- E)^2}{E}[/tex]

            Frequency(O)         Frequency (E)

Half-       27                            40                                 4.225      

Pint

XXX       29                           40                                  3.025

Dark-       24                          20                                  0.8

night

Total      100                         100                                 8.05

The test statistics [tex]X^2[/tex] = 8.05

8.05

degree of freedom = n -1

degree of freedom =  3 - 1

degree of freedom =  2

The p-value can be computed by using the EXCEL FORMULA (=CHIDIST(8.05,2)

p-value = 0.01786

Since the p-value is less than the level of significance, we reject the null hypothesis

Also using the critical value approach from the EXCEL FUNCTION;

critical chi-square  (=CHIINV(0.05,2) = 5.99

[tex]X^2 > 5.99[/tex], therefore, we reject the null hypothesis

Answer:

The answer is 234

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

The distance between Brookline(8, 2) and Davenport(5, 10) can be calculated using the distance formula given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y1)^2} [/tex].

Let,

[tex] Brookline(8, 2) = (x_1, y_1) [/tex]

[tex] Davenport(5, 10) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(5 - 8)^2 + (10 - 2)^2} [/tex]

[tex] d = \sqrt{(-3)^2 + (8)^2} [/tex]

[tex] d = \sqrt{9 + 64} = \sqrt{73} [/tex]

[tex] d = 8.5 [/tex] (nearest tenth)

Steps to solve:

15 = x + 13

~Subtract 13 to both sides

2 = x

Best of Luck!

Answer:

106

Step-by-step explanation:

Answer:

X=2.5 (btw im a rising 5th grader just saying) i hope i helped u

Step-by-step explanation:

3x+3=-2x+2-4      (get rid of the parenthesis)

+2x      +2x             (get rid of 2x)

5x+3=2-4

+4       +4                (get rid of 4)

5x+7=2

-7    -7                      (get rid of 7)

5x=2

5/2=2.5                   (solve)

Answer:

See below

Step-by-step explanation:

2......................

∠PQR and ∠RQS are supplementary, which add up 180°

Sum:

3......................

4......................

From the picture and the value of x we got above:

QT bisects ∠RQS and we get two equal angles

Each will measure:

5......................

LM = 5, LN = 17, MN = ?

If L is between M and N, then

M is between L and N, then

5......................

Ray BD bisects ∠ABC, then formed angles are equal:

m∠DBC = m∠ABD

37/56 is the answer

you can cross multiply

Answer:

37/56

Step-by-step explanation:

Find the least common multiple of the denominators (56).

7x8=56

8x7=56

2x8=16

3x7=21

16+21=37

37/56

Answer:

=

Step-by-step explanation:

0.01 is = to 0.01

Answer:a lot

Step-by-step explanation:

Answer:

The farmers in regions II, IV, and VI had exactly two of the three Summing the numbers in these regions 25 + 15 + 10 we find the that 50 farmers grew exactly two of the three.

Answer:

i- isnt it 2-

Step-by-step explanation:

1 + 1 is 2

i hope this helped?

We just need to solve for y when x = -2

Solution:

y = 2|-2 + 1|

y = 2|-1|

y = 2(1)

y = 2

Therefore, the answer is Option 3

Best of Luck!

Answer:

C

Step-by-step explanation:

Given :

A point U located at (1,-4) on the coordinate plane.

To Find :

The reflection of point U on x-axis.

Solution :

Reflection of any point ( h , k ) on x-axis is ( h , - k ) .

So , the reflection of point U i.e ( 1 , -4 ) is ( 1 , 4 ) .

Therefore , the ordered pair describes the location of U' is ( 1 , 4 ).

Hence , this is the required solution .

Answer:

F

Step-by-step explanation:

Answer:

Historians label an event as a turning point when it​ marks the beginning of a distant historical period

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The area for a parallelogram is given by the formula:

[tex]A=bh[/tex]

Where b is the base length and h is the vertical height.

The base length is 6 and the height is 10 (if you flip the figure 90 degrees). So:

[tex]A=6(10)[/tex]

Multiply:

[tex]A=60\text{ units}^2[/tex]

Our answer is A.

And we're done!

Answer:

C

Step-by-step explanation:

4x-5+x=180. Add 5 to both sides

5x=185. Divide by 6

X=37

180-37=143

143