ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
D
126%
AK
> C
B
Angles are not drawn to scale.
Enter

Step-by-step explanation:

Let x be the number of 10 cent coins

Let y be the number of 20 cent coins

given

[tex]x = y + 12 \\ x - y = 12[/tex]

as equation 1

and

[tex]0.1x + 0.2y = 5.4[/tex]

as equation 2.

Now we will use elimination method to solve simultaneous equations.

Now we multiply equation 1 by 0.2 to eliminate y and solve for x first.

[tex]0.2 \times x - 0.2 \times y = 12 \times 0.2 \\ 0.2x - 0.2y = 2.4[/tex]

Let this new equation be equation 3.

Now use equation 2 + equation 3.

[tex]0.1x + 0.2x + (0.2y + ( - 0.2y)) = 5.4 + 2.4 \\ 0.3x = 7.8 \\ x = 7.8 \div 0.3 \\ = 26[/tex]

Substitute x into equation 1,

[tex]x = y + 12 \\ y + 12 = x \\ y = x - 12 \\ = 26 - 12 \\ = 14[/tex]

Therefore total number of coins = x + y = 26 + 14 = 40

Answer:

in total he has 62 cents

Step-by-step explanation:

I hope it's the correct answer if I'm wrong tell me right away.

Answer:

yes ofc  boiiiiii 3 tens=30 ones boiiii and 25 ones=2 tens and 5 ones boiiiii

Step-by-step explanation:

Answer:

0%

Step-by-step explanation:

there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card

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A).28n rad/sec

Answer:

9 OR 1

Step-by-step explanation:

Let the number be x

x² - 10x = -9

x² - 10x + 9=0

a=1

b=-10

c=9

Solve using the quadratic formula

x =9 or 1

Answer:

D,

Step-by-step explanation:

the is the value of b in ax -by =-5

D , cant isolate b

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

simplify

x = 35/11

Answer:

By examining the line plot, we find the number with the maximum number of crosses or occurrences. This gives the mode of the data set. We find the smallest and the largest number from the data set and find their difference and this difference is the range of the given data set.

Step-by-step explanation:

Answer:

So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.

I got 9216 mm I wasn't sure if you need them converted to any other measurement.

Answer:

it depends on the larger number

Step-by-step explanation:

A positive and a negative is the same as subtracting

ex: 7 + (-2) = 7 -2 = 5

ex: -7 + 2 = 2-7 = -5

Answer:

-5 + 6=1

but

-6+5=. -1

Step-by-step explanation:

it depends , if the negative number is lesser than the positive then the answer will be in the positive, but if the negative number is greater than the positive it is a negative

9.5 ft

Step-by-step explanation:

trust in me pls I am serious this is the right answer

Sure, what do you need help with?

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).

HOPE THIS HELPS

Answer:

To convert miles to cm, multiply the mile value by 160934.4. For example, to find out how many centimeters there are in 2 miles, multiply 2 by 160934.4, that makes 321868.8 cm in 2 miles.

multiply 2 by 160934.4, which is

321868.8 cm in 2 miles.

To convert a mile to a centimeter, multiply the length by the conversion ratio. The length in centimeters is equal to the miles multiplied by 160,934.4.

The distance in km is equal to the distance in miles multiplied by 1.609344. Since 1 mile is equal to 1.609344 km, that's the conversion ratio used in the formula.

Learn more about distance conversion here

https://brainly.com/question/2695274

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Answer:

71

Step-by-step explanation:)

Answer:

A. 10 is less than or equal to 1.75+0.65m

B. D

Step-by-step explanation:

Answer:

$6,447.60

Step-by-step explanation:

Since Jennifer's monthly payment was $303.73 and she paid this amount each month for 10 years, multiply the monthly payment by the number of months in 10 years, 120, to determine the total amount that she paid.

$303.73×120=$36,447.60

Now, subtract the stated amount of the loan from the total amount paid to find the amount of interest that was paid.

$36,447.60−$30,000=$6,447.60

Therefore, Jennifer paid $6,447.60 in interest through the duration of the loan.

The total amount of interest of loan paid by Jennifer is $ 6447.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of interest of loan paid by Jennifer be = A

So , the equation will be

Now , the amount she took as loan on fixed rate = $ 30,000

The amount of money Jennifer paid per month = $ 303.73

The total duration of time Jennifer paid off the loan = 10 years

10 years = 10 x 12 months

10 years = 120 months

So , the total amount paid back by Jennifer = Amount of money she paid per month x 120 months

Substituting the values in the equation , we get

The total amount paid back by Jennifer = 303.73 x 120

The total amount paid back by Jennifer = $ 36,447.6

Now , the loan interest amount paid by Jennifer A = total amount paid back by Jennifer - amount she took as loan on fixed rate

Substituting the values in the equation , we get

The loan interest amount paid by Jennifer A = $ 36,447.60 - $ 30,000

The loan interest amount paid by Jennifer A = $ 6447.60

Therefore , the value of A is $ 6447.60

Hence , The total amount of interest of loan paid by Jennifer is $ 6447.60

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

30 degrees,30 degrees120, degrees

Step-by-step explanation:

The ratio of the angles is 1:1:4.

Let’s represent the angles by 1x, 1x, and 4x.

The sum of the interior angles of a triangle is 180°.

1x + 1x +4x = 180    Combine like terms.

           6 x = 180    Divide each side by 6

               x = 30°

1x=1*30=30 degrees

1x=1*30=30 degrees

4x=4*30=120 desgrees

Answer:

30, 30, 120

Step-by-step explanation:

Basic properties of a triangle:

The problem:

To solve:

Answer:

hope it helps...

Step-by-step explanation:

Answer:

She is not correct because trapezoid and parallelogram are not the only type of Quadrilaterals.

Step-by-step explanation:

Quadrilaterals are basically 4 sided shapes. Examples include Square, rectangle, rhombus, parallelogram, trapezoid, kite e.t.c.

Now, Harriet is saying that it

is not possible to draw a quadrilateral that is not a trapezoid and not a parallelogram. This statement is wrong because aside trapezoid and parallelogram, I have listed other types of Quadrilaterals above that can be drawn.

Answer:

D

Step-by-step explanation:

It cant be a because theres also dots in the right too

it cant be b because they are not far from the median and not skewed right

it cant be c because no way in HELL THAT LOOKS SYMMETRICAL

so its d cause they are literally all over the place

Answer:

$41, 863. 50

Step-by-step explanation:

$2000 - 6.5% = $1,993.50

$1,993.50 x 21 = $41, 863. 50

Answer:

C

Step-by-step explanation:

1. The third term has an exponent of 1.

2. A constant is the number with no variable.

I hope this helps ^-^

Answer:

Umm, it test to go into high school is pretty simple

Step-by-step explanation:

Just go with your gut, because its very simple, believe in your self and don't double guess yourself! I believe in you, and Good Luck!

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Answer:

1) A

2) A

3) D

4) B

5) D

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

If any 2 parallel lines are cut by a transversal line , then :-

__________________________________________________________

Q1)

According to the figure on the right side of the question paper ,

So,

∠7 + ∠8 = 180°

⇒ ∠2 + ∠8 = 180°    (∵ ∠2 = ∠7)

Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.

Q2)

According to the figure on the question paper ,

So ,

∠1 + ∠3 = 180°

⇒ ∠5 + ∠3 = 180°  (∵ ∠1 = ∠5)

Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.

Q3)

According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.

Q4)

According to the figure , m∠1 = 129°.

Also , ∠1 & ∠7 are interior angles on the same side.

⇒ They are supplementary angles.

⇒ ∠1 + ∠7 = 180°

⇒ ∠7 = 180° - 129° = 51°

So , the correct option is B.

Q5)

According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20

Also , ∠2 = ∠6 (∵ Corresponding angles are equal)

⇒ 3x - 10 = 2x + 20

⇒ 3x - 2x = 20 + 10

⇒ x = 30

So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)

Hence , the correct option is D.

Answer: 12 students

Step-by-step explanation:

1/6 of 900 is 30 kids. and 2/5 of the 30 kids is 12