Prove that the diagonals of rhombus are perpendicular to each other.​

Answer:

143 Gallons

Step-by-step explanation:

miles/gallon per 26 miles= amount of gallons.

3718/26= 143 gallons of gas.

Answer:

1. Addition

sum

2. Subtraction

difference

deduct

3. Multiplication

product

of (I'm not sure about this one, though)

4. Division

divided by

quotient

5. Equals

is

Step-by-step explanation:

The graph of the function y = sin (0.25x) is attached.

       (+) for addition (−) for subtraction (×) for multiplication (÷) for division.

Given are the mathematical operations.

We can match the operations as -

Therefore, the mathematical operations are matched with their equivalent names.

To solve more questions on mathematical operations, visit the link below -

https://brainly.com/question/20628271

#SPJ2

Answer:

68,443,507,502

Step-by-step explanation:

Answer:

68,443,507,502

Step-by-step explanation:

Hope this helps

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = [tex]\frac{27-3}{9-1}[/tex] = [tex]\frac{24}{8}[/tex] = 3

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf\:Slope=3}}[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{27-3}{9-1}[/tex]

[tex]\displaystyle\frac{24}{8}[/tex]

The fraction can be reduced:

[tex]\displaystyle\frac{3}{1}[/tex]

which is the same as

[tex]3[/tex]

Hope you could understand everything.

#CarryOnLearning

Answer:

∡CFE and ∡BFD, ∡AFB and ∡BFD

Step-by-step explanation:

It is because supplementary angle is straight lines which add ups to 180°

Therefore, ∡CFE and ∡BFD, ∡AFB and ∡BFD are supplementary angles

Explanation:

Can we rotate the figure some angle smaller than 360 degrees and have it match up with its original image? The answer to that is "no". Any such rotation will change the image to something else. Therefore, this figure does not have any point symmetry (aka rotational symmetry).

Can we reflect one half of the figure over some line to get the other half? The answer here is also "no". The diagram has no reflectional symmetry either.

Plane symmetry is ruled out because that only applies to 3D settings.

Answer:

X = 2

Step-by-step explanation:

7 X 2 = 14

HOPE THIS HELPS!

Answer:

6:41

Step-by-step explanation:

We know that the number of students going on the field trip is 6.

To find the total number of students, add the number of students going on the trip and the number of students staying at the school: 6 + 35 = 41

So the ratio of the number of students going on the field trip to the total number of students is 6:41

Step-by-step explanation:

whole numbers are the numbers Start from 0.

century means hundred

16-8=8

hexagon has six sides

91÷7=13

Lets set the two numbers as 'a' and 'b'

Now let us set up some equations based on the information:

Equations

 a + b = 49 -- equation 1

 a - b = 15 -- equation 2

Solve:

 (equation 1) + (equation 2)

    2a = 64

      a = 32 -- equation 3

 (equation 3)'s value of a into (equation 2)

  32 - b = 15

    b = 17

The products of 'a' and 'b' is 544

Hope that helps!

Not letting me add answer mentioned forbidden words

Refer to the attachment

Step-by-step explanation:

AB = sqrt((4-0)^2 + (6-(-1))^2) = sqrt(16+49)=sqrt(65)

CD=sqrt((-8-(-4))^2 + (0-7)^2) = sqrt(49+16)=sqrt(65)

Therefore, sides AB and CD are congruent because they have the same measure.

BC = sqrt((4-(-4)^2 + (-1-0)^2) = sqrt(64+1)=sqrt(65)

AD=sqrt((0-(-8))^2 + (7-6)^2) = sqrt(64+1)=sqrt(65)

Therefore, sides BC and AD were congruent because they have the same measure.

This means ABCD is a parallelogram because there are two pairs of opposite congruent sides.

Now, notice that AB=BC, meaning sides AB and BC are congruent.

This means that parallelogram ABCD has one pair of consecutive congruent sides, and is thus a rhombus.

Answer:

9 sq.un.

Step-by-step explanation:

The polygon it is surrounded by an imaginary square of 4 X 4 units per side

To their area we subtract the areas of the imaginary triangles in white.

Results the area of the shaded polygon:

[tex]A=4^{2} -\frac{(2)(3)}{2} -2(\frac{(1)(3)}{2} )-\frac{(1)(2)}{2} =16-3-3-1=16-7=9sq.un.[/tex]

Hope this helps

Answer:

9 sq. un

Step-by-step explanation:

Your question is...?

Answer:

Refer to the pic

Step-by-step explanation:

I don't know what you think about it

The area for both polygons are:

Green polygon: 8

Red polyogon: 9

hope this helps

Answer: Train A weighs 418 tons and Train B weighs 61 tons

Step-by-step explanation:

Let a represent the weight of Train A, and let b represent the weight of Train B.

We can set up a system of equations.

a + b = 479

a - b = 357 ( as we are given that a is heavier than b )

We can add the two equations:

a + b + a - b = 479 + 357

Combine like terms (which cancels out the b):

2a = 836

Divide both sides by 2:

a = 418

We can plug this back into the first equation:

418 + b = 479

Subtract 418 from both sides:

b = 61

Answer:

88$

Step-by-step explanation:

The approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches

Lateral area of the cone is the area bounded by the surface of the cone, and this Lateral area of the cone can be found out using the following formula.

[tex]A=\pi r\sqrt{h^2+r^2}[/tex]

here. (h) is the height of the cone and (r) is the radius of the cone.

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.

Put these values in the above formula as,

[tex]A=(3.14) (9)\sqrt{40^2+9^2}\\A\approx1159\rm \; in^2[/tex]

Hence, the approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches

Learn more about the lateral area of the cone here:

https://brainly.com/question/858717

Answer:

3,2 i think but I could be wrong

Step-by-step explanation:

Answer:

[tex] \frac{10}{100} \times 88 = 8.8 [/tex]

Step-by-step explanation:

you divide the 10 percent by 100 percent

because parentage is always out of 100 percent

And multiply buy the amount given

Answer:

10°

Step-by-step explanation:

Since 90° makes a right angle, you do 90-80, to get 10.

Answer/Step-by-step explanation:

The exponential function modeling the number of lions ⇒  the years passed since 2010 is appointed as

[tex]f(x)=2^1^+^2^x[/tex]

Well, If you have an question like what is exponential function?

Let's me tell you:

exponential functions which are expressed as some constant raised to the power of the argument called exponential function.

You might be asking how to find which function can model the given question..

[tex]\mathrm{Since \;2012 - 2010 = 2 \;and\; the\; number \;of\;lions = 32 =2^5}[/tex]

[tex]\mathrm{and \;2013 -2010 = 3\; and\; the\; number \;of\; lions\; =128 = 2^7}[/tex]

Hence, there is increment of 2 exponent as 1 year was changed.

Now, we have:

[tex]f(x)=2^2^x^+^a[/tex]

[tex]\mathrm{Thus,\; it\; increases \;every \;year \;by\; a \;ratio \;of \;2^(^2^)}[/tex]

[tex]\mathrm{Thus, \;in \;2011, \;it \;was \;2^(^5^) - 2^(^2^) = 2^(^3^)\; lions}[/tex]

[tex]\mathrm{In\; 2010, it\; was 2^(^3^) - 2^(^2^) = 2}[/tex]

Since Lions were introduced in the park in 2010, using f(x), it means;

[tex]x = 0, f(x) = 2[/tex]

[tex]x = 1, f(x) = 2^(^3^)[/tex]

[tex]x = 2, f(x) = 2^(^5^)[/tex]

[tex]x = 3, f(x) = 2^(^7^)[/tex]

Let's use the generic formula: y = ab^(x)

At x = 0 and y = 2, we have:

[tex]2 = a * b^(^0^)[/tex]

Thus,a = 2

At x = 1, y = 2^3

b = 8/2

b = 4

So the exponential equation is;

[tex]y = 2(4^(^x^))[/tex]

~Learn with Lenvy~