The measure of ∠1 =

a. 110
b. 62.5
c. 55

Given the biconditional statement: "It is a leap year if and only if the year has 366 days.", the converse to form it is "If the year has 366 days, then this is a leap year". (Right choice: C)

According to logics, propostions are truth bearers that makes sentences true or false. In linguistics, propositions are the meaning of declarative sentences. There are simple and composite propositions, the latter are formed by one simple proposition at least and logic connectors. There are five logic connectors:

By logic rules we know that the double implication/biconditional is commutative operator:

(X ⇔ Y) ⇔ (Y ⇔ X)

In addition, a double implication/biconditional has the following equivalence:

(X ⇒ Y) ∧ (Y ⇒ X)

Where Y ⇒ X is the converse of X ⇒ Y.

Therefore, the converse to form the statement "It is a leap year if and only if the year has 366 days" is Y ⇒ X: "If the year has 366 days, then this is a leap year".

To learn more on propositions: https://brainly.com/question/14789062

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Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis

Answer:

y = 4x - 5

Step-by-step explanation:

for slope intercept form

y = mx + c

where m is the slop so

M = 4

point = (1, -1)

a point on the line must satisfy the equation so replacing y and x by -1 and 1 respectively to get to c.

-1 = 4 × 1 + c

-1 - 4 = c

-5 = c

placing these values in y = mx + c

y = 4x - 5

Answer:

y = 4x - 5.

Step-by-step explanation:

First write it in point-slope form:

y - y1 = m(x - x1)

y - (-1) = 4(x - 1)

y + 1 = 4x - 4

y = 4x - 4 - 1

y = 4x - 5.  <------- Slope-intercept.

Answer:

-1/5

Step-by-step explanation:

g(x) = x/(x-3)

Substituting x = 1/2 in g(x),

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

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

= 1/2/(-5/2)

= 1/2 ÷ - 5/2

= 1/2 x -2/5

= - 1/5

Step-by-step explanation:

here is your answer

here is your answer

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +  

Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +

V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +

V = 7.07 + 57.26

V = 64.33ft

9514 1404 393

Answer:

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

Answer:all of them

Step-by-step explanation:

Answer:

17 + 123 (4 - 1) + (36 / 18) 52 =

17 + 123 x 3 + 2 x 52 =

17 + 369 + 104 =

17 + 473 =

490

Step-by-step explanation:

hope this helps! i made up everything so i hope its okay!

Answer:

b+3 or 3+b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The product of the slopes of  and the line perpendicular to  through C is -1 in all cases. So, I can conclude that any two perpendicular lines have slopes that are negative reciprocals of each other.

Step-by-step explanation:

its correct

Answer:

The desired distance is √5

Step-by-step explanation:

Recall that the distance from a point to a line is measured along a path perpendicular to the line.  Thus, given the line y = -2x + 5, the slope of any line perpendicular to it is the negative reciprocal of -2:  +1/2.

The line perpendicular to y = -2x + 5 and passing through (4, 2) is

y - 2 = (1/2)(x - 4), or

2y - 4 = x - 4, or 2y = x, or y = (1/2)x.

Now our problem becomes "find the length of the line connecting (4, 2) and the intersection of y = -2x + 5 and y = (1/2)x."  

Equating these, we get (1/2)x = -2x + 5, which, if multiplied through by 2, becomes x = -4x + 10, or 5x = 10, or x = 2.  If x = 2, then y = (1/2)(2) = 1.

Finally, find the distance between (2, 1) and (4, 2):

Using the Pythagorean Theorem, d = √(2^2 + 1^2) = √5

The distance from (4, 2) to the line y = -2x + 5 is √5

Answer:

[tex]-3 < x[/tex]

Step-by-step explanation:

Given

[tex]-18 < 5x-3[/tex]

Required

The solution

[tex]-18 < 5x-3[/tex]

Add 3 to both sides

[tex]3-18 < 5x-3+3[/tex]

[tex]-15 < 5x[/tex]

Divide both sides by 5

[tex]-3 < x[/tex]

Answer:

[tex]4 \pi {?}^{2} [/tex]

hope it is helpful to you

Answer:3/6 in simplest fraction form is 1/2.

Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out

Answer:

CosC

Step-by-step explanation:

EDG

Answer: 81

Step-by-step explanation: 27 times 3 = 81

Answer: 81

Step-by-step explanation: 21 times 3

Answer:

4 liters of engine oil

Step-by-step explanation:

petrol : engine oil

        5:2

      10:?

we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.

Answer:

1850 cents or $18.50

Step-by-step explanation:

50*8=400

3*35=105

5*269=1345 ($2.69 can be converted to 269 cents)

400+105+1345=1850

Answer:

910,000 ÷ 2,000

Step-by-step explanation:

1 ton = 2000 pounds

therefor divide pounds by 2000 to get tons

910,000 ÷ 2,000

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation:

Answer:

[tex]x_1 = -t[/tex]

[tex]x_2 = s[/tex]

[tex]x_3 = 0[/tex]

[tex]x_4 = t[/tex]

Step-by-step explanation:

Given

[tex]\left[\begin{array}{cccc}1&0&0&1\\0&0&1&0\\0&0&0&0\end{array}\right][/tex]

Required

Determine x1 to x4

First, we write the augmented matrix

[tex]\left[\begin{array}{cccc}1&0&0&1\\0&0&1&0\\0&0&0&0\end{array}\right] = \left[\begin{array}{c}0&0&0\end{array}\right][/tex]

Taking the position of each column, we have:

[tex]x_1 + 0 + 0 +x_4 = 0[/tex]

[tex]0 + 0 + x_3 +0 = 0[/tex]

[tex]0 + 0 + 0 + 0 = 0[/tex]

There is no explicit equation for [tex]x_2[/tex]

So: [tex]x_2 = s[/tex] ----- arbitrary variable

[tex]x_1 + 0 + 0 +x_4 = 0[/tex] implies that:

[tex]x_1 + x_4 = 0[/tex]

[tex]0 + 0 + x_3 +0 = 0[/tex] implies that

[tex]x_3 = 0[/tex]

[tex]0 + 0 + 0 + 0 = 0[/tex] implies that

[tex]0 = 0[/tex]

So, we have:

[tex]x_1 + x_4 = 0[/tex]

[tex]x_3 = 0[/tex]

[tex]x_1 + x_4 = 0[/tex] becomes

[tex]x_1 = -x_4[/tex]

Let

[tex]x_4 = t[/tex]

So:

[tex]x_1 = -x_4[/tex]

[tex]x_1 = -t[/tex]

Where t , s are real numbers

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

y = 5x - 25 + 1

y = 5x - 24 = mx + c

Answer:

x is 37.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.

Answer:

x = 37

Step-by-step explanation:

Interior angles of a square is 90 each.

∠JKL = 90°

Given ∠JKL = 3x - 21

Therefore, 3x - 21 = 90

                    3x = 90 + 21

                    3x = 111

                      x =  37

Step-by-step explanation:

what are the given values of x ?

there is nothing visible.

and what is the function itself ? f(x) = 7x ?

it is not clear.

Answer:

g(-4) = 8

Step-by-step explanation:

g(-4) = - ( - 4 ) + 4

       = 8

If this helps you, please give brainliest!

Answer:

30 plus 70 equals 100

Step-by-step explanation:

it tells the gum explicit equation

Answer:

Negative. The answer gives - 5

Answer:

Negative

Step-by-step explanation:

-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.