The answer heleplloolrkdkrkrkkfhrbebehhrehhdhf

a = 85°

Step-by-step explanation:

Method 1

5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)

3x = 57°

x = 57/3 = 19°

a = 180 - 57 - 2x

a = 180 - 57 -2(19)

a = 85°

Method 2

2x + a + 57° = 180°

2x + a = 123° ==> 1

5x + a = 180°

x = (180° - a)/5 ==> 2

By substitution

2((180° - a)/5) + a = 123°

(360° - 2a)/5 + a = 123°

(360° - 2a)/5 = 123° - a

360° - 2a = 5(123° - a)

360° - 2a = 615° - 5a

-2a + 5a = 615° - 360°

3a = 255°

a = 85°

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

Answer:

x = 8 degree

Step-by-step explanation:

8x - 4 = 60 degree (being alternate interior angle)

8x = 60 + 4

8x = 64

x = 64/8

x = 8 degree

Answer:

[tex] both \: are \: alternate \: interior \: angle \\ \\ = > both \: are \: equal \: \: \: \: \: \: \: \: \: \: \: \\ \\ = > (8x - 4) = 60 \: \: \: \: \: \: \\ \\ = > 8x \: = \: 60 + 4 \\ \\ = > 8x = 64 \\ \\ = > x = 64 \div 8 \\ \\ = > x = 8 \: \\ \\ hope \: it \: is \: helpful \: to \: you[/tex]

Answer:

5^-4

Step-by-step explanation:

5^3/5^7=5^(3-7)=5^-4

Answer:

probably D po

Step-by-step explanation:

sana maka help po

Answer:

c=√a²+b²

Step-by-step explanation:

You can use this equation to solve it.

Answer:

PV= $73,201.14

Step-by-step explanation:

Giving the following information:

Future value (FV)= $85,000

Number of periods (n)= 20 months

Interest rate (i)= 0.03/4= 0.0075

To calculate the lump-sum required to reach the objective, we need to use the following formula:

PV= FV / (1 + i)^n

PV= 85,000 / (1.0075^20)

PV= $73,201.14

I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.

However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.

In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.

Answer:

A line with a slope of – that passes through the point (–14, 4)

Step-by-step explanation:

The equation of a line is typically written as y= mx+b where m is the slope and b is the y- intercept.

Answer:

Marked price = Rs 800

Step-by-step explanation:

Let the marked price of the cap be Rs.“x”.

Discount = 20%

VAT = 13%

VAT amount = Rs. 83.20

We know,

      Discount = Marked price – Selling Price

        ⇒ Selling price = Marked price – discount

The price after giving a discount or Selling price:

                                                                          [tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]

VAT amount = VAT% of Selling Price

       [tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]

Thus, the marked price of the cap is Rs. 800.

Answer:

4. 6 cups

6. 50 dollars

7. 27000 words

8. 300 dollars

Step-by-step explanation:

4.

2 cups           x cups

-------------- = -----------

6 people         18 people

Using cross products

2 * 18 = 6x

Divide by 6

36/6 =6x/6

6 =x

6.

12 cans           30 cans

-------------- = -----------

20 dollars         x dollars

Using cross products

12x = 20*30

12x = 600

Divide by 12

12x/12 =600/12

x = 50

7.

3 hours = 3*60 minutes/hour = 180 minutes

30 minutes           180 minutes

--------------        = -----------

4500 words         x words

Using cross products

30x = 4500*180

Divide by 30

x = 4500*180/30

x=27000

8.

45 dollars           x dollars

-------------- = -----------

15 burgers        100 burgers

Using cross products

45*100 = 15x

Divide by 15

45*100/15 = x

300 =x

Answer:

98.97

Step-by-step explanation:

I used my notes on page 34

Answer:

11/20

Step-by-step explanation:

9514 1404 393

Answer:

  x = 1, x = 2

Step-by-step explanation:

A graphing calculator shows the graphs cross at x=1 and x=2.

__

There is no algebraic method of solving an equation like this. Trial and error is another method that works.

Answer:

U.S. Treasury Bond

Step-by-step explanation:

A bond is a debt instrument.

the US government cannot default on a bond. thus government bonds are considered riskless. this is because the government can print money with the central bank to pay debt obligations

other debt issuers cannot print money to pay debt obligations. thus, they are not riskless

Given:

You move down 2 units and up 8 units.

You end at (0, 4).

To find:

The starting point.

Solution:

Let the starting point be [tex](x,y)[/tex].

You move down 2 units and up 8 units. So, the rule of translation is:

[tex](x,y-2+8)=(x,y+6)[/tex]

You end at (0, 4).

[tex](x,y+6)=(0,4)[/tex]

On comparing both sides, we get

[tex]x=0[/tex]

[tex]y+6=0[/tex]

[tex]y=4-6[/tex]

[tex]y=-2[/tex]

Therefore, the starting point is (0,-2).

Step-by-step explanation:

the diagonals are congruent

Answer:

b

Step-by-step explanation:

==========================================

Work Shown:

x = original cost (in dollars)

1.40x = increasing the cost by 40%

0.85*1.40x = decreasing the previous cost (1.40x) by 15%

Notice how a decrease of 15% means you pay the remaining 85% of the price, which is where the 0.85 comes from.

The expression 0.85*1.40x simplifies to 1.19x after multiplying the 0.85 and 1.40

-------------------------

The expression 1.19x is the final cost after the increase of 40% and the decrease of 15%

Set this equal to 8.65 and solve for x

1.19x = 8.65

x = 8.65/1.19

x = 7.2689075630252  which is approximate

x = 7.27 dollars

-------------------------

Let's check the answer

x = 7.27

1.40x = 1.40*7.27 = 10.178 = 10.18

After an increase of 40%, the cost is now $10.18

Now decrease it by 15%

discount = 15% of 10.18 = 0.15*10.18 = 1.527 = 1.53

The customer saves $1.53 and the final price is 10.18-1.53 = 8.65

So everything works out as we expect. The answer is confirmed.

Answer:

Step-by-step explanation:

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .

Answer:

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.

Answer:

-4 =x

Step-by-step explanation:

2x + 9(x – 1) = 8(2x + 2) – 5

Distribute

2x +9x -9 = 16x+16 -5

Combine like terms

11x-9 = 16x +11

Subtract 11x from each side

11x-9-11x = 16x-11x+11

-9 = 5x+11

Subtract 11 from each side

-9-11 = 5x+11-11

-20 = 5x

Divide by 5

-20/5 = 5x/5

-4 =x

Answer:

so 6+30=36

we can use the distributive property

36-6=30

36-30=6

Hope This Helps!!!

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The sum of angles in a triangle is 180°. The measure of the third angle is ...

  180° -20° -50° = 110° . . . third angle

Answer:

The measurement of third angles of triangle is 110°.

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both side from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, measurement of third angie of triangle is 110°.

Step-by-step explanation:

It is known that area of a circular is calculated as follows.

[tex]Area = \pi \times r^{2}[/tex]

So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to  calculate the radius it is required to divide the diameter by 2.

Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.

Answer: $7.25 per pound

Step-by-step explanation:

3x3.5 + 5x = 46.75

5x+10.5 = 46.75

5x = 36.25

x = 7.25

Answer:

the price per pound for the turkey would be 7.25

Step-by-step explanation:

first you would do 3x3.50 to find the total cost for the cheese

now you subtract that from 46.75

once you have that answer you divide by 5 :)

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cuz i did the test