50 points!!!!!!


Match the vocabulary word with the correct definition.
1. one-to-one correspondence
2. included side
3. corresponding angles
4. congruent figures
5. corresponding sides
6. included angle

Sides paired with one another in a
one-to-one correspondence between
figures.
If a one-to-one correspondence
between the parts of two figures is such
that the corresponding parts are equal,
then the figures are congruent.
The side of a triangle that is formed
by the common side of two angles.
A situation for which each member
of a set, such as angles of a triangle, can
be paired with one and only one
member of another set. The angle formed by two sides of a
triangle
Angles paired with one another in a
one-to-one correspondence between
geometric figures.

Answer:

tan (θ+x)= -33/56

sin (θ+x)=33/65

Step-by-step explanation:

cosθ= -4/5 , sin x = -12/13

cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)

sinθ=- √(1-16/25)=- √(9/25)=-3/5

sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)

cosx=√(1-144/169)= √(25/169)=5/13

tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4

tgx= sinx/cosx=(-12/13)/(5/13)= -12/5

tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)

tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56

sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65

Step-by-step explanation:

i dont know one. but number to is 14. hope it helps

Answer:

see below

Step-by-step explanation:

19-3 will be greater

We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1

18-3 = 16

1/2 * (19-3)

Using PEMDAS

We do parentheses first

1/2 ( 16)

Then multiply

8

Answer:

40 and 50,20 and 70

Step-by-step explanation:

complementary angles are angles that  added equal to an angle of 90 degrees and it says they are not congruent so the two angles are diferent

the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.

The given statement is "Two complementary angles are not congruent."

Two angles are Complementary when they add up to 90°.

Now, if we add 45°+45°=90°

Therefore, the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.

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Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

Answer:

5x^5

Step-by-step explanation:

45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5

The right answer is 5x^5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

x = 5,  x = 2

Step-by-step explanation:

substitute what y equals in the second equation into the first equation.

x²-6x+13-3=x

x²-7x+10 = 0

(x-5)(x-2) = 0

x = 5, x = 2

Answer:

It's C my man

Step-by-step explanation:

Answer:

A = $ 34,162.89

Step-by-step explanation:

A = $ 34,162.89

A = P + I where

P (principal) = $ 20,000.00

I (interest) = $ 14,162.89

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

34,162.89

Step-by-step explanation:

Answer:

Step-by-step explanation:

it  is symmetric about y-axis and its axis is x=0

and vertex is (0,2)

so parabola is y=a(x-0)²+2

(2,4) lies on it.

4=a(2)²+2

4a=2

a=1/2

so y=1/2 x²+2

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

Answer:

The answer would be the last one

_________________________________

Solution

(5r+2)(3r-4)

=5r(3r-4)+2(3r-4)

=15r^2-20r+6r-8

=15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8.

Hope it helps

Good luck on your assignment

______________________________

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

Answer:

5/12

Step-by-step explanation:

If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.

Answer:

5 to 12

Step-by-step explanation:

Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.

Hope this helped!

Answer:

49.28.

Step-by-step explanation:

11% = 10% + 1%

So 11% of 448 = 44.8 + 4.48

= 49.28.

The best estimate of 11% of 448 is 49.28.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

11% of 448 = 11 / 100 × 448 = 0.11 × 448

= 49.28

Hence, the best estimate of 11% of 448 is 49.28.

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Answer:

The mean is 7.5

Step-by-step explanation:

1.add all of the numbers together

2.Divide by 10 since you have 10 numbers to add

Hope this Helps!

Answer:

-3k +10

Step-by-step explanation:

-3k - (-8) +2

Subtracting a negative is like adding

-3k +8+2

Combine like terms

-3k +10

Answer:

Its actually not. So first the -3k is already simplified. The --8 becomes +8

its -3k+8+2 =

-3k+10

At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer

Answer:

f(x)=√x f ( x ) = x is x≥0 x ≥ 0

Step-by-step explanation:

The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

Answer:

11

Step-by-step explanation:

Given Fraction

Let the denominator = x

The numerator is 2x + 1

2x + 1

=====

x

The new fraction

2x + 1 + 4

=========

x + 4

Equation

2x + 5               5

======    =     ====

x + 4                 3

Solution

Cross Multiply

3(2x + 5) = 5(x + 4)  

Remove the  brackets

6x + 15 = 5x + 20

Subtract 5x from both sides

6x - 5x + 15 = 20  

Subtract 15 from both sides

x = 20 - 15

x = 5

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

Answer

2(5) + 1 = 11

The original numerator is 11

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180   {supplementary}

3x  - 17  + 5x + 21 = 180    

Add the like terms

8x  + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Answer:

x = 22

Step-by-step explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

Answer:

The final answer is [tex]n > -1[/tex], which would be the first choice.

Step-by-step explanation:

-Solve the inequality:

[tex]-6n + 5 < 11[/tex]

-Subtract both sides by [tex]5[/tex]:

[tex]-6n + 5 - 5 < 11 - 5[/tex]

[tex]-6n < 6[/tex]

-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:

[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]

[tex]n > -1[/tex]

So, the final answer would be [tex]n > -1[/tex].

Answer:

A. 1.0

B. 1.3

C. 2.2

D. 13.0

Answer:

B.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

√(-2 - -2)² + (6 - -3)² = 9 = radius

diameter = 2r = 18

Answer:

2968

Step-by-step explanation:

First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters

Answer:

725 + 579 + 696 = 2000 (What a coincidence)

112% = 112 / 100 = 1.12

Multiply the increase

2000 x 1.12 = 2240

2240 is the amount of scooters sold.

Step-by-step explanation:

Answer:

g(p)= -p^2+4p+4

Step-by-step explanation:

g(x)= -x^2+4x+4

Replace x with p

g(p)= -p^2+4p+4

Answer:

Range = 3

Step-by-step explanation:

First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.

Hope this helps! :D

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

We have the equation

[tex]10-(x+2)=7x[/tex]

The first thing we need to do is distribute the negative throughout the parenthesis

[tex]10-x-2=7x[/tex]

Now, we can combine like terms

[tex]8-x=7x[/tex]

Now we can add x to each side

[tex]8x=8[/tex]

And lastly, we can divide each side by 8

[tex]x=1[/tex]

Our last step is to check our answer

[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]

Answer:

1

Step-by-step explanation:

1) 10-x-2=7x

2) -x + 8 = 7x

3) 8x=8

4) x=1