You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can

represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to

find the measures of the angles described.

The measure of an angle increased by 24° is equal to the measure of its complement.

The measure of the angle is

Jº and the measure of its complement is

Answer:

Andrea has 83 cherries in stock at the end of the day.

Step-by-step explanation:

starts with 20 cherries

sold 17 cherries

3 cherries remain

get 4 times as many she starts with 20×4= 80

80 + the 3 that remained

Answer:

x = 5

Step-by-step explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values

[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

hey

Step-by-step explanation:

how r u?

wyd?

u from?

u r girl or boy??

Answer:

7.

Step-by-step explanation:

Hey there!

p(x) = 3x + 1

y = 3x + 1

y = 3(-1/3) + 1

y = -1 + 1

y = 0

Therefore, your answer SHOULD be: y = 0

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

-1/8

Step-by-step explanation:

the slope would be the opposite reciprocal of 8, which would be -1/8

Answer:

Y=-1/8x-5

Step-by-step explanation:

Perpendicular lines are negative reciprocals to each other

Answer:

1. L = 3D +59

2. 158 miles

Step-by-step explanation:

For the second part:

Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.

Answer:

The answer is B

Step-by-step explanation:

Answer:          

asd

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.

It is important to get a leaking faucet fixed because of the following reasons;

1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.

2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.

3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.

4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.

Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.

Learn more about Water waste here;

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Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

Answer:

$9.16

Step-by-step explanation:

55/6=9.16

[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]

True-... i think because like i am not sure-

Answer:

62

Because u do 180-90-28=62

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

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

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Answer:

GE = 8 inches

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

GE = 2 × GH = 2 × 4 = 8 inches

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

Answer:

2.829

Step-by-step explanation:

ita the closest to 2.83

The most accurate measure is 2.829 cm.

To change a number into an approximation having fewer significant digits.

Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.

a) 2.812 =

Rounding off to the 10th place = 2.81 cm

b) 2.837 =

Rounding off to the 10th place = 2.84 cm

c) 2.805 =

Rounding off to the 10th place = 2.8 cm

d) 2.829 =

Rounding off to the 10th place = 2.83 cm

Hence, the correct answer is 2.829 cm

For more references on rounding off a number, click;

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Answer:

X = The number of hours Joey worked (C)

Step-by-step explanation:

$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.

Answer:

the answer is 6

Step-by-step explanation:

Answer:

(6x-8)+(3x)+x=180 - the equation that would be used to find x

Step-by-step explanation:

(6x-8)+(3x)+x=180

I´m not sure what the answer of the equation is but this is the equation. im sorry :(

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

3x + x + 6x - 8 = 180 , that is

10x - 8 = 180 ( add 8 to both sides )

10x = 188 ( divide both sides by 10 )

x = 18.8

3x = 3 × 18.8 = 56.4

6x - 8 = 6(18.8) - 8 = 112.8 - 8 = 104.8

Then the 3 angle measures are

18.8° , 56.4° , 104.8°

Answer:

x+43⁰+52⁰=180⁰ [being triangle]

x⁰+95⁰=180⁰

x⁰=180⁰-95⁰

x⁰=85⁰

Step-by-step explanation:

do you mean

7×10⁵ × 3×10²

as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :

7×3 × 10⁵×10² = 21 × 10⁷

in what format do you need the result ?

21 × 10⁷

2.1 × 10⁸ (standard format)

210,000,000

Answer: 115,324 m^2

Step-by-step explanation:

To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).

In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)

Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.

1/2 (220)(152) = 16,720 m^2

Since there are four triangle faces, we need to multiply this number by four.

16,720(4) = 66880 m^2.

Now we just have to add this to the area of the square base which is:

(220)(220) = 48400 m^2

66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)

Answer:

5 cups

Step-by-step explanation: