1) work out the size of angle x

2) give reasons for your answer

Answer:

The fourth one is correct.

Step-by-step explanation:

To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.

Find the length of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=02+(−4)2‾‾‾‾‾‾‾‾‾‾√

=8‾√

Find the length of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−4)2+02‾‾‾‾‾‾‾‾‾‾√

=8‾√

Since LN=MO, by the definition of congruent line segments, LN=MO.

To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.

Find the slope of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

m1=−2−20−0=−40⇒m1 cannot be defined.

Find the slope of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

m2=0−0−2−2

=0−4

=0

The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.

The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.

To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).

Find the midpoint of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

P1(0+02,2+(−2)2)=(0, 0)

Find the midpoint of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

P2(2+(−2)2,0+02)=(0, 0)

Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.

The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.

Therefore, the diagonals are congruent perpendicular bisectors of each other.

Answer:

Here Is Your Answer Less Than 0 But Greater Than 10

Answer:

m = -3/5

Step-by-step explanation:

Since the line is going downwards towards the right, it is a negative slope.

We can use the points to solve for the slope.

m = -2 - 1 / 2 - (-3)

m = -2 - 1 / 2 + 3

m = -3/5

Therefore, the slope is -3/5.

Answer:

x = 4

Step-by-step explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values

[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 12 ( divide both sides by 3 )

x = 4

a)200

b)120

c)410

d)37.3

The approximate change in the value of the function will be 10. Then the correct option is C.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = x² + 4x - 1

The average rate is calculated as,

Average rate = [f(3.1) - f(3)] / [3.1 - 3]

Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1

Average rate = (21.01 - 20) / (0.10)

Average rate = 1.01 / 0.10

Average rate = 10.1

Average rate ≈ 10

The approximate change in the value of the function will be 10. Then the correct option is C.

More about the average rate change of a function link is given below.

https://brainly.com/question/23715190

#SPJ5

Answer:

x=\frac{y-15}{50}+3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]x58 \frac{.225 {.39 < }^{?} }{?} [/tex]

[tex].555121213 \frac{ = < < \sqrt{ { \frac{?}{?} }^{?} } }{?} [/tex]

Answer:

x=39

Step-by-step explanation:

The sum of the measure of all of the interior angles of a triangle is equal to 180 degrees. If a triangle has angle measures known to be 102 and 39 degrees, in order to find the last angle measure an equation can be used such as [tex]x=180-102-39[/tex]. When solving this equation the third angle measure is x, which is revealed to be 39 degrees.

9514 1404 393

Answer:

  Y = (-1, 5)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...

  (M +R)/2 = (A +Y)/2

  Y = M + R - A . . . . . . multiply by 2 and subtract A

  Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates

  Y = (-1, 5)

Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.

_____

Your teacher may expect the "proof" to be either or both of ...

Given the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.

Slope and Length of MA

  slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3

  length = √(2²+6²) = √40

Slope and Length of AR

  slope = (7 -3)/(5 -3) = 4/2 = 2

  length = √(4² +2²) = √20

Slope and Length of RY

  slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA

  length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA

Slope and Length of YM

  slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR

  length = √((-4)² +(-2)²) = √20 . . . . . .  same as opposite side AR

Opposite sides have the same slopes, so the figure is a parallelogram.

Opposite sides have the same lengths, so the figure is a parallelogram.

Answer:

112°

Step-by-step explanation:

according to the question

34°+34°+x=180°

68°+x=180°

x=112°

Answer:

1.=scalene+acute . 2. equilateral .  3. obtuse+scalene .  4. isosceles+right .  5. scalene+acute(cant tell exactly)  6. acute+isosceles .  7. right+isosceles . 8. isosceles + obtuse

Step-by-step explanation:

look at pictures

Answer: N

Step-by-step explanation:

Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5

Answer: The answer is 20in

Answer:

20 inch

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

The possible lengths of the third side would be:

✓hypotenuse = (✓5² + 8²)

= ✓(25 + 64)

= ✓89

= 9.4

OR

8² - 5² = side²

side² = 64 - 25

side² = 39

Side = ✓39

Side = 6.24

Answer:

$15 an hour

Step-by-step explanation:

If we want to find the pay per hour, we divide the pay by the hour

[tex]\frac{22.5}{1.5} = 15\\[/tex]

63.75/4.25 =15

108.75/7.25 = 15

191.25/12.75= 15

Our answer is $15 an hour

Our answer is $15 an hour, or B.

Answer:

x=7

Step-by-step explanation:

Using parallel lines, cut off by a transversal, we can do this (see image):

Using the image, we can say that 94 = c = a= f, and 13x-5 = b = d =g

Since angles on a straight line add to 180, we can say that

13x-5+94 = 180

13x + 89 = 180

subtract 89 from both sides

13x = 91

x = 7

Answer: 16 fl oz

Step-by-step explanation:

Answer:

1 quart sorry if I'm wrong

Step-by-step explanation:

Step-by-step explanation:

You can use web browser to type your answer into  mathspace. The following browsers supports mathspace.

Chrome, MacOS safari, Microsoft edge .

Answer:

175 miles

Step-by-step explanation:

35 times 5 = 175

Step-by-step explanation:

Add the whole numbers

13 +5 = 18

Add the fractions

4/5 +1/3

The LCD is 15

12/15 + 5/15

17/15

Simplify

17/15 = 1 2/15

1 is a while number so, add it to the other whole number

18 +1 = 19

Your final answer will be 19 2/15

Please gimme brainliest

Answer: 4

Step-by-step explanation:

3 - - 1 = 4

three is less than means 3 minus whatever the number is, in this case the number is -1.

Answer:

22

Step-by-step explanation:

Answer: 2+2=4

Step-by-step explanation: Thanks for the points kiddo :)

Anyways if you had 2 dogs and got 2 more you would have 4 dogs in all

Answer:

It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true

Answer:

20, 29, 30, 31, 32, 33, 34, 37

~ the median is: 31 +32 / 2 = 31.5

Step-by-step explanation: