can someone please help me out asap? thank you

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

To learn more about inequality equations click :

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Answer:

Pedro made 54 ounces of coffee in total.

Step-by-step explanation:

Identify what you know:

1) Pedro gave his friend 34 ounces of coffee.

2) There was 20 ounces of coffee left over after!

So, we need to add the amount of coffee that his friend had, to the amount that's left, to get the total amount that he made.

Let's make an equation, where x equals the total amount!

34 + 20 = x

OR

x - 34 - 20 = 0

Hope this helps!

Answer:

54

Step-by-step explanation:

34+20= 54 ounces of coffee

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.

Answer

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Explanation

These questions are all about writing down mathematically what they are saying in words. Use variables whenever there is an unknown, and try to write equalities based on what is said.

So, taking it one step at a time:

Eva is working two summer jobs,

Cool.

making $16 per hour and $8 per hour clearing tables.

I'm guessing this is $16/hr for tutoring, and $8/hr for clearing tables?

Last week Eva worked 3 times as many hours clearing tables as she worked tutoring hours

Let C = the number of hours Eva worked at clearing tables

Let T = the number of hours Eva worked at tutoring

Last week Eva worked C = 3 * T

and earned a total of $80.

The amount she earned at each place is:

8*C = money from clearing tables

16*T = money from tutoring

8*C + 16*T = 80

Solve a system of equations in order to determine the number of hours Eva worked tutoring last week, X, and the number of hours Eva worked clearing tables last week, Y,

Welp, I guess they wanted X and Y but it doesn't matter. From the equations above we can say:

8*C + 16*T = 80

C = 3*T

That should be enough to solve for:

C = ?

T = ?

Let x = # of hrs spent tutoring, y = # of hrs spent cleaning tables

We know she worked 3 times as many hours cleaning tables as she did tutoring, which implies:

3x = y

Also, her total earnings add up to $80, which implies:

16x + 8y = 80

This gives us the following system of equations:

3x = y

16x + 8y = 80

Let's make the substitution y = 3x into the 2nd equation:

16x + 8(3x) = 80

16x + 24x = 80

40x = 80

x = 2.

Next, plug in x = 2 into the first equation:

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Answer:

This net could form a Pyramid

will have 5 faces 5 points and 5 vertices

Step-by-step explanation:

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

Answer:90

Step-by-step explanation:

Trust me bro

The degrees of rotation that will carry the regular pentagon onto itself is 72,144,216,288

In geometry, a pentagon is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

Given here: A regular pentagon is rotated clockwise about center P.

Now  Since you have 5 vertices, your starting vertex can land in 5 different starting places and still come up with the same figure. So if you take 360/5 you get 72 degree rotations to each consecutive vertex.

or more specifically 360/5=72

Again therefore the pentagon will coincide itself after every integral multiple of 72

Thus 72, 144,216,288 are the required angles of rotation.

Learn more about  a pentagon here:

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Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

According to angles rule,

100° + x = 180° [linear pair]

=> x = 180°-100°

=> x = 80°(Ans)

Answer:

B

Step-by-step explanation:

Because I multiplied 4 times 3.

Answer:

1/12

Step-by-step explanation:

3 / 1/4=1/12 another way to find the answer is to do 3/1 x4/1 u will get the same answer :)

and part b is b

Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

Answer:

v = 10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Answer:

v = 10

Step-by-step explanation:

8(v +1) = 88

8v + 8 = 88 (Distribute)

   - 8     - 8   (Subtract)

8v = 80  (Divide)

v = 10

Hope this helps :)

Answer:

c = -8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = -8

Step-by-step explanation:

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

Step-by-step explanation:

h = 20                         h = 3/2                        h = 12

1/2 * h = 10                 h+5/2 = 4                     5h = 60

                                                                        120/h = 10

                                                                        h-3 = 9

Answer:

Step-by-step explanation:

b

Answer:

C

Step-by-step explanation:

A shows the range of numbers greater than 1, not including 1 (the circle on the number 1 is empty, meaning 1 isn't included - when it's filled in then 1 is included).

B shows the range of numbers less than 1, not including 1.

C shows the range of numbers less than and including 1.

D shows the range of numbers greater than and including 1.

'≤' means 'less than or equal to'

We're looking for the range of numbers less than and including 1: C

There are two ways to do this, the one that makes more logical sense and the faster one

You can first calculate how much is 25%. You do this by $24.99 × 25 ÷ 100

Since you know how much is "discounted", just minus the answer you get above with the original price ($24.99 - $6.2475)

The quicker way is to recognise that "original price" is always 100%. In other words, you can just do 100% - 25% and get 75%. Then, $24.99×75÷100 is your answer.

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Answer:

13/72

Step-by-step explanation:

Step-by-step explanation:

13/72

Answer:

9g -5h - 8

Step-by-step explanation:

We first have to get everything out of the parentheses, so we take the negative that is surrounding the parentheses and apply it to the equation inside of it, giving us this: 5g - 2h - 3h - 8 + 4g

Then, all we need to do is simplify it into this expression: 9g -5h - 8

Answer:

9g-5h-8

Step-by-step explanation:

(5g-2h)-(3h+8-4g)

Opening the brackets

5g-2h-3h-8+4g

9g-5h-8

Answer:

The multiples of 5 are (b.10,25,45,60)

Answer:

[tex]3\sqrt{2}[/tex]/2

Step-by-step explanation:

first we take the square root of the top and bottom:

[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]

The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.

72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]

We know that the square root of 9 is 3, so now we have

[tex]\frac{3\sqrt{8} }{4}[/tex]

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

[tex]\frac{3*2*\sqrt{2}}{4}[/tex]

last, we simplify and get

[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

x=10

Step-by-step explanation:

Answer:

30% i think so yea......

Answer:

68

Step-by-step explanation:

130% × Y = 88.40

Y = 88.40 ÷ 130%

Y = 68

Checking...

68 × 130% = 88.40

Sorry it so long to respond. I just learned how to calculate it myself.

Answer:

150

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with bob first - this is the easiest. Let x = bob

To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126

3              3

x    =   42

Now that you have solved for x, you know the amount that bob has... $42

With this information you can substitute 42 for x in the equation that was created for susie

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that bob has is $42 and susie has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!