Please help:)))))))))))

Answer:

m∠1 = 103

m∠2 = 103

Step-by-step explanation:

by definition, the opposite angles of a kite are congruent.

we know that a quadrilateral's angles add up to 360.

117 º+ 37º + 2xº = 360º

2xº = 206º

xº=103º

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

Let the scale factor be K, then the image of point A is:

[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]

[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]

From the given figure it is clear that the image of point A is A'(-4,-4).

[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]

On comparing both sides, we get

[tex]-2k=-4[/tex]

[tex]k=\dfrac{-4}{-2}[/tex]

[tex]k=2[/tex]

Therefore, the dilation scale factor is 2.

PT is 8 because since P is the incenter it's equidistant from all sides.

Answer:

11

Step-by-step explanation:

Vicky used 462 beads to make 11 necklaces, she would have left 38 beads.

Answer:

He make seven necklaces

Answer: 1⅓ batch of cookies

Step-by-step explanation:

From the question, we are given the information that a cook has 4 cups of raisins to make oatmeal cookies and that the recipe requires 3 cup of raisins for each batch of cookies.

Therefore, the number of batches of cookies that the cook can make will be the number of cups of rasins that the cook has divided by the number of reasons needed for each cookie. This will then be:

= 4/3

= 1⅓ batch of cookies

Answer:

[tex]x(qr + pr + pq) > pqr \: \: \: by \: dividing \: both \: sides \: by \: (qr + pr + pq)[/tex]

we get that

Step-by-step explanation:

[tex]x > \frac{qr + pr + pq}{pqr} [/tex]

Answer:

32.61° is the answer

Step-by-step explanation:

Tanx=17.6/27.5

Answer:

[tex]3\frac{5}{7}[/tex]

Step-by-step explanation:

13 ÷ 3.5

[tex]3.5=3\frac{5}{10}[/tex]

The increase in the amount of wages of Gabriela is $ 41,400

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 after increase in wages be = A

Now , the initial amount of Gabriela be = $ 36,000

And , the percentage increase in the wages = 15 %

So , the equation will be

Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )

Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )

Total amount after increase in wages A = 36000 + ( 15 x 360 )

Total amount after increase in wages A = 36000 + 5400

Total amount after increase in wages A = $ 41,400

Therefore , the value of A is $ 41,400

Hence , The increase in the amount of wages of Gabriela is $ 41,400

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the total orders is not given.

To solve this question, I will assume a value for the total number of order.

Let

[tex]x \to 12-cup[/tex]

[tex]n_x = 18[/tex] ---- number of 12-cup

[tex]y \to 36-cup[/tex]

[tex]n_y = ??[/tex] ---- number of 36-cup

[tex]n \to[/tex] Total order

Required

Calculate [tex]n_y[/tex]

To do this, we make use of the following equation:

[tex]n_x * x + n_y * y = n[/tex]

Substitute known values

[tex]18 * 12 + n_y * 36 = n[/tex]

[tex]216 + 36n_y= n[/tex]

Collect like terms

[tex]36n_y= n - 216[/tex]

Divide both sides by 36

[tex]n_y= \frac{n - 216}{36}[/tex]

Assume the number of orders is: 540 cups

The equation becomes

[tex]n_y= \frac{540 - 216}{36}[/tex]

[tex]n_y= \frac{324}{36}[/tex]

[tex]n_y= 9[/tex]

9514 1404 393

Answer:

  (b) 82.9253

Step-by-step explanation:

The first attachment shows the rectangles. The second shows the sum of their areas.

Answer:

what the product of 2 and 3

Answer:

50.7

Step-by-step explanation:

38+1.3+90 from the right angle=129.3

180-129.3=50.7

Answer:

Step-by-step explanation:

Patrick thinks that when 'a' is a negative integer and 'b' is a positive,

Let "a = -2" and "b = 3"

a). a - b is positive.

a - b = -2 - 3

            = -5 {negative]

Therefore, statement is False.

(a - b) is negative.

b). b - a is positive.

b - a = 3 - (-2)

       = 3 + 2

       = 5 [Positive]

Statement is True.

c). a - (-b) is negative.

a - (-b) = a + b

          = -2 + 3

          = 1 [Positive]

False.

But it's true when a = -5 and b = 3

a - (-b) = -5 - 3

           = -8 [Negative]

Answer:

7. 35-(2*3+5*4.5)

8. 6.5

Answer:

[tex] MN= \boxed{15}[/tex]

Step-by-step explanation:

refer the attachment

therefore Let,

according to the question

[tex] \displaystyle (x - 3 ) (x + 13) =( x + 3 {)}^{2} [/tex]

simplify square and Multiplication:

[tex] \displaystyle {x}^{2} + 10x - 39 = {x}^{2} + 6x + 9[/tex]

cancel x² from both sides:

[tex] \displaystyle 10x - 39 = 6x + 9[/tex]

cancel 6x from both sides:

[tex] \displaystyle 4x - 39 = 9[/tex]

add 39 to both sides:

[tex] \displaystyle 4x = 48[/tex]

divide both sides by 4:

[tex] \displaystyle \boxed{x = 12}[/tex]

given that,

[tex] MN= x + 3[/tex]

substitute the got value of x:

[tex] MN= 12 + 3[/tex]

simplify addition hence,

[tex] MN= \boxed{15}[/tex]

Answer:

acute triangle

Step-by-step explanation:

We have 3 angles that are not equal to each other

They are all smaller than 90 degrees which means they are acute angles

Answer:

Acute

Step-by-step explanation:

Acute=less than 90 degrees

Obtuse=more than 90 degrees

Right=1 side has 90 degrees

Equiangular=every side has the same degree

Therefore, it would be Acute

Answer:

the answer is c

Step-by-step explanation:

when solving for theta, we are given the side length adjacent to it (5) and the length of the hypotenuse ( 14).

the trigonometric function that deals with adjacent and hypotenuse values is cosine.

you can use SOH CAH TOA

stands for :

sin = opposite/hypotenuse

cos = adjacent/ hypotenuse

tan = opposite/adjacent

we dont know theta so :

cos(theta) = 5/14

cos = about 69

check :

cos(69) = 5/14

                   cos(69) = 0.35836794954

                   5/14 = 0.35714285714

Answer:

30 words per minute

Step-by-step explanation:

Take the number of words and divide by the number of minutes

150/5 = 30

300/10 =30

450/15 = 30

600/20 = 30

30 words per minute

Answer:

janae types 30 words each minutes.

Step-by-step explanation:

if 5minutes = 150 words

[tex]1 \: minute = \frac{150words}{5minutes} [/tex]

[tex] = \: 30words[/tex]

Answer:

it will be the correct answer..

because

The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.

Answer:

Yes

Step-by-step explanation:

Statistics can perdict cyclones for example lets say that somewhere a cyclone happens almost every February then its statistically likely to happen this February too.

Answer:

for 3644 produced books the costs will be the same.

Step-by-step explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

34618 = 9.5x

x = 34618 / 9.5 = 3644

Answer:

x = 30

Step-by-step explanation:

If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then

2x + 50 + 5x - 80 = 180

7x - 30 = 180 ( add 30 to both sides )

7x = 210 ( divide both sides by 7 )

x = 30

Answer:

Using a calculator;

A is approximately 51.34°

G is approximately 28.36°

Step-by-step explanation:

Part 1

The given trigonometric ratio is presented as follows;

tan A = 5/4

Therefore, the angle, A = arctan(5/4)

Using a calculator,  the value of A is found as follows;

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Entering 5/4 into the calculator, using the keypad

3 . Selecting the arctan button to give, A ≈ 51.34°

Part 2

The given trigonometric ratio is cos G = 0.88

Therefore, G = arccos(0.88)

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Enter 0.88 into the calculator by typing

3. Select arccos from the function menu, to give

arcos(0.88) = G ≈ 28.36°.