The exterior angles of a quadrilateral have measures of 90°, 38°, 3x°, and x°. Find the value of x.
x=?

Answer:

$770.60

Step-by-step explanation:

Simple interest is the same amount every year.

So first you work out 10%, then 5%, and then 1% which then you x3 to get 3%

10% = 72

5% = 36

1% = 7.2

3% = 14. 6

you then add together the 5% and the 3% to get the simple interest, which is

50.6

then you add the simple interest and the money she borrowed and that is your answer

720 + 50.6 = 770.60

Answer:

$900

Step-by-step explanation:

Answer:

[tex]\$675[/tex]

Step-by-step explanation:

Remember that

[tex]100\%-35\%=65\%=65/100=0.65[/tex]

Let

x ----> the total cost of the books

we know that

The total cost of the book multiplied by 0.65 must be equal to $438.75

so

The linear equation that represent this situation is

[tex]0.65x=438.75[/tex]

solve for x

[tex]x=438.75/0.65\\x=\$675[/tex]

For the given figure;

Perimeter = 41 cm and

Area = 49.5 cm².

Step-by-step explanation:

Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.

Step 2; The figure's area = The rectangle's area + The triangle's area.

The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².

The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².

The figure's area = 42 + 7.5 = 49.5 cm².

Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.

The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.

The perimeter of a triangle is the sum of all the three side lengths.

The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.

The perimeter of the figure = 26 + 15 = 41 cm.

Answer:

7/1 - 1/8= 6[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Answer:

6.87500

Step-by-step explanation:

The adjacent angles in the diagram are 112° and 68°.

Step-by-step explanation:

The measure of angle in a straight line is 180°.

Therefore, the sum of the two angles is equal to 180°.

⇒ 2x + 68 = 180

The equation formed to solve for x value is 2x+68 = 180

⇒ 2x = 180 - 68

⇒ 2x = 112

⇒ x = 112/2

⇒ x = 56

∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°

Answer:

Enlargement

Factor 2

Step-by-step explanation:

X'Y'/XY = 10/5 = 2

First, lets subtract the amount he has after the transaction and the amount he had before the transaction.

249 - 18 = 231

Second, divide by the amount of books Dan bought.

231 / 7 = $33 per book.

Best of Luck!

Step-by-step explanation:

trust me its b i got it right

Answer: Account might need to be reactivated since it is an old account and the sum on the cheque is larger than usual deposit

2) since it is a cheque deposit and the amount is larger than usual deposit, the bank teller will need to make neccessary confirmation from the cheque owner.

Step-by-step explanation:

Funds from a deposited check may not be available on the day of deposit due to processing times for verifying funds, anti-fraud measures for large or irregular deposits, and the clearing process required for checks drawn on different banks.

Funds from a deposited check may not be available on the day of deposit for a number of reasons. One common reason is due to the processing time that is required for the bank to verify the funds from the issuing account. When an individual makes a deposit, the bank needs to ensure that the payer's account has sufficient funds to cover the check. This process can take several business days, especially if the check is drawn on a different bank or financial institution.

Another reason why funds might not be immediately available is due to anti-fraud measures. Banks often hold larger than usual deposits or checks from new accounts for additional scrutiny to prevent fraud. This hold allows the bank to time to confirm the legitimacy of the check before making the funds available to the depositor.

Finally, if both the issuing and receiving account are at the same bank, a simple internal account transfer can occur with no need for an actual movement of physical funds. However, if the banks are different, checks typically go through a clearing process, which might involve an intermediary such as a Clearing House, where the checks are offset against each other and only the net balances are settled. This systematic arrangement usually results in a delay before the deposited funds are available to the account holder.

Answer:

The student is wrong, the total area = 16 ft² + 20 ft²

Step-by-step explanation:

See the attached figure.

The shown figure is a composite area of:

1) A rectangle with length of 8 ft and width of 4 ft

2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)

The area of the rectangle = length x width = 8 * 4 = 32 ft²

The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²

So, the total area = 32 + 4 = 36 ft²

OR

The figure can be consists of :

1) A square of side length of 4 ft

2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)

So,

The area of the square = 4 * 4 = 16 ft²

The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²

So ,the total area = 16 + 20 = 36 ft²

So,

The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft

So, the student is wrong

At 1 pm the ocean was at a hight tide but at 7pm it was at a low tide this means the tide has been decreasex by 2.6 feet

Step-by-step explanation:

Answer:

y = -3x²

Is a concave down with a maximum turning point at (0,0)

y = ⅓(x²)

Is a concave up with a minimum turning point at (0,0)

Answer:

Both are parabolas but one is concave up,while the other is concave down as you can see fro the graphs.They also both intersect at the origin

The length of each side is 50 inch/ 600 ft

Step-by-step explanation:

Given,

The perimeter of the square park = 12 inches

1 inch = 200 ft

12 inches = 12×200 ft = 2400 ft

To find each side of the park.

Let, each side be 'a' inches

Formula

The perimeter of a square = 4a

According to the problem,

4a = 2400

or, a = 600 ft

= 50 inch

Answer:

2400 feet

Step-by-step explanation:

1 : 200

12 : X

X = 12 × 200 = 2400 feet

Answer:32

Step-by-step explanation:

add 10 + 10 + 6 + 6 = 32

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

Answer:$3912.81

Step-by-step explanation:

You can calculate this by finding the cost ofn1 training session and then multiplying by the 167 training sessions

If 86 training sessions =$2015

Then 1training session=2015/86 =$23.43

167 training sessions =$23.43×167= $3912.81

Answers:

1. 1/12

2. 1/15

3. 16 feet

4. 222 inches

5. 27 feet

hope it helps :0

Answer:

-2 + sqrt(2)

-2 - sqrt(2)

Step-by-step explanation:

3x² + 12x + 6 = 0

x² + 4x + 2 = 0

Use the quadratic formula:

[-4 + sqrt(4² - 4(1)(2))]/2

-2 + sqrt(2)

[-4 + sqrt(4² - 4(1)(2))]/2

-2 - sqrt(2)

sqrt: square root

The formula for the area of triangles is lwh × 1/2.

Multiply the length by the width, height, and then by 1/2.

1.1 × 3.8 × 0.5 = 2.09

Since both triangles are equal, both triangles area will be the same, 2.09.

Now multiply the are by 2.

2.09 × 2 = 4.18

The area of the shaded areas equals 4.18in.

Answer:

x

Step-by-step explanation:

x

Answer:

-6

Step-by-step explanation:

khan academy

Alexa has 5 grapes. She went to the store and bought 4 times a number. When she counted the grapes, she had 37 grapes in total.

When you make a word problem with this, you will get 4x+5=37

Answer:

To the nearest cent, Christopher will earn $ 0.13 in 3 years

Step-by-step explanation:

Let's recall that the formula of the compounded interest is:

A = P * (1 + r/n)^nt, where

A = Future value

P = Initial deposit

r = Interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Replacing with the values we know:

A = P * (1 + r/n)^n

A = 1 * (1 + 0.1/1) ³°¹

A = 1 * 1.1³

A = 1 * 1.1331

A = 1.13

Interest = Future value - Initial deposit

Interest = 1.13 - 1

Interest = 0.13

Answer:

A) 40

B) 10

Step-by-step explanation:

A) ⅓×pi×2.5²×8 = 50/3 pi

660pi ÷ 50pi/3 = 39.6

So 40 scoops

B) ⅓×pi×5²×8 = 200pi/3

660pi ÷ 200pi/3 = 9.9

So 10 scoops

Answer:

  41

Step-by-step explanation:

If your equation is what it appears, we can put 3 where x is and do the arithmetic:

  12·3 +5 = 36 +5 = 41

The family spent 41 to attend the game.

Answer:

Step-by-step explanation:

Your answer is correct except for the intercepts.

The x-intercepts are where the graph crosses the x-axis. Those points are (-3, 0) and (3, 0). They can be identified in a list of points by the fact that the y-coordinate is zero (corresponding to the x-axis).

The y-intercepts are where the graph crosses the y-axis. Those points are (0, -5) and (0, 5). They can be identified in a list of points by the fact that the x-coordinate is zero (corresponding to the y-axis).

Answer:

p-3

Step-by-step explanation:

3 fewer would be -3

So it would be p-3

Answer: 3<p

Step-by-step explanation:

3 is fewer than (<) p

hope it helps please give brainliest!

Answer:

This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.

Step-by-step explanation:

Answer:

3m

Step-by-step explanation:

You can check

3m(4+x)

12m+3mx

see

and its gcf because inside () has no common factors

Answer:

3m(4+x)

Step-by-step explanation:

Answer:

6< 5+x

Step-by-step explanation:

sum = addition

sum of 5 and x= add 5 and x

5+x

less than: "<" and it means that the number on the left is less than the number on the right

6 less than= 6 < 5x

The phrase "6 less than the sum of 5 and x" can be represented by the expression:

(5 + x) - 6

Let's break it down to understand how this expression represents the given phrase:

First, we have the sum of 5 and x, which is represented by (5 + x). This part of the expression calculates the sum of 5 and the variable x.

Then, we have "6 less than" which implies subtracting 6 from the sum. This is represented by - 6.

Finally, we combine these two components: (5 + x) - 6.

In this expression, the sum of 5 and x is calculated first, and then 6 is subtracted from that sum, representing the idea of "6 less than the sum of 5 and x."

To simplify further, we can combine the terms:

(5 + x) - 6 = 5 + x - 6 = x - 1

Therefore, the expression "6 less than the sum of 5 and x" can be represented as x - 1.

To learn more about the expression;

brainly.com/question/24242989

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