Two triangles both have angles that measure 30º, 60º, and 90º. Two quadrilaterals both have angles that measure 60º, 90º, 90º, and 120º.
Which statements must be true? I. The two triangles are congruent. II.
The two triangles are similar.
III. The two quadrilaterals are congruent
. IV. The two quadrilaterals are similar.

A Statements I, II, III, and IV
B Statements I, II, and IV
C Statements II and IV
D Statement II only

Answer:

(2 1/2, 0)

Step-by-step explanation:

In the picture attached, the complete question is shown.

f(x) = 2 1/2 - 3 1/3 * x

or

f(x) = 5/2 - (10/3)*x

f^-1(x) is the inverse of f(x), which is obtained replacing f(x) by x, and x by y, and solving for y, as follows:

x = 5/2 - (10/3)*y

(10/3)*y = 5/2 - x

y = (5/2)*(3/10) - x*(3/10)

y = (3/4) - (3/10)*x

f^-1(x) = (3/4) - (3/10)*x

at x-intercept, f^-1(x) = 0,

(3/4) - (3/10)*x = 0

(3/4) = (3/10)*x

x = (3/4)*(10/3)

x = 5/2 or 2 1/2

Answer:

d - (2 1/2,0)

Step-by-step explanation:

got it right on edge

Answer:

Here is the graph:

Hope it helps......!

Answer:

each coat $15

Step-by-step explanation:

$78-$18 divided by 4 =15

hope this helps :)

Answer:

The answer is that each shirt and pair of pants costs 15$

Step-by-step explanation:

So you have 78$, and you already need to buy a backpack so then you have 60$ dollars because the backpack is 18$, and 2 shirts and 2 pairs of pants is 4 pieces of clothing in all, 60$ divided by 4 pieces of clothing equals 15$ per piece of clothing (78 - 18 = 60 divided by 4 = 15)

Answer:

Which questions are statistical questions?

what is the number of students what is the height of each in my class?

how many servings of fruit did eat each day this month?

what is my height?

what is the highest temprature

of each month this year?

how many students from each school in this city love football?

Step-by-step explanation:

Need to include numerical values

Answer:

How many servings of fruit did I eat each day this month?

What is the height of each student in my class?

What was the highest temperature of each month of 2020?

How many students from each school in this county love basketball?

Step-by-step explanation:

Answer: i say B is correct

Answer:

i think it's C i may be wrong

Step-by-step explanation:

Steps:

12* 8 = 96 + two side of triangle (32 when combined) is 128.

Description:

We get 12 inches the top side and the length, then we times it by 8 inches that was the height. Answer will equal as 96. Plus the two side for the triangle and when combined 32 answer will equal as 128. So the correct answer for this question is 128 inches squared.

Answer: The area is 128 inches squared.

Please mark brainliest

Hope this helps.

Answer:

3:8=x:32

Step-by-step explanation:

3:8=x:32, x=12

but in x:8=3:32 x=0.75

Answer:

640

Step-by-step explanation:

160=25%

25 times 4=100

therefore 160 times 4=100%

Answer:

25x +3

Step-by-step explanation:

Answer:

x^3 + y^3

Step-by-step explanation:

Hope this helps.

Answer:

$9

Step-by-step explanation:

Given  I owe my friend $16 and my mom owes me $25

step 1-->take back money from mom

Mom gives back you $25

Now you have $25

Step 2: return the money you owe to friend

you owe $16

You have $25 and return $16

Thus , money you will have = money you have - money you return

money you have = $25 - $16 = $9

Thus, you will have $9 , after all is settled.

Answer:

  C(3, −3), D(−2, −3)

Step-by-step explanation:

The given segment is 5 units long. (You can subtract the coordinates or count the grid squares to see this.)

In order for the area to be 30 square units, the product of length and width must be 30.

  30 = 5×width

  30/5 = width = 6

The horizontal line that is 6 units below the one shown is at y = -3. That is, the coordinates of C and D will have y-values of -3. Only one answer choice matches.

Answer:

C(3, −3), D(−2, −3)

Step-by-step explanation:

Answer:

The answers to the blanks are:

The “?” in the table represents the number 38 because the average rate of change on every interval of the function is 1/3.

Step-by-step explanation:

How you can see in the table, after the first values [x=-2, f(x)=5], each time that x add 1, f(x) add 3, (that is the reason why the average rate is 1/3), how you can see below:

2. x = 2 (were added 4 to the first number -2)

   f(x) = 17 (were added 12 to the first number 5)

3. x = 5 (were added 3 to the second number 2)

   f(x) = 26 (were added 9 to the second number 17)

4. x = 9 (were added 4 to the third number 5)

How in the last column were added 4, you must multiply this value by 3 (remember the average rate), so 4*3 = 12, now:

  f(x) = 38 (were added 12 to the third number 26)

Answer:

s = -3

Step-by-step explanation:

13s - 8s - -19 = 4

Combine like terms

5s +19 = 4

Subtract 19 from each side

5s +19-19 = 4-19

5s = -15

Divide by 5

5s/5 = -15/5

s = -3

Answer:

-3

Step-by-step explanation:

1) combine like terms:

5s--19=4

5s+19=4

subtract 19 from both sides:

5s=-15

s=-3

Hope this helps!

Answer:

[tex]a_{n}[/tex] = 20n + 12

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 52 - 32 = 72 - 52 = 92 - 72 = 20

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 32 and d = 20, thus

[tex]a_{n}[/tex] = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12

Answer:

-2g+3

Step-by-step explanation:

-4g + 8 - 5 + 2g

= (-4g+2g) +(8-5)

= (2-4)g + 3

= -2g +3

This equation is simplified as you can't solve it further

Answer:

-2g + 3

Step-by-step explanation:

Add like terms (-4g and 2g, 8 and -5), like so:

-4g + 2g = -2g

8 - 5 = 3

Put it all together:

-2g + 3

Answer:

(-4,-8)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The formulas we need are below:

C=dπ

A=r²π

d=2r

Plug in the values.

d=12

C=12π

A=36π

C=12(3.14)=37.68

A=36(3.14)=113.04

B matches

Answer: a. 43.443 km

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

27 miles to kilometers

Since 1 mile = 1.609344 km

We simply have to multiply the number of miles by 1.609344.

Mathematically speaking:

27 x 1.609344 = 43.4522 km

The closest result is option a. 43.443 km.

Feel free to ask for more if needed or if you did not understand something.

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

[tex]\frac{15}{100}=0.15[/tex]

Now, take the total amount of the sales and multiply it by this decimal.

[tex]59,500*0.15=8925[/tex]

Step-by-step explanation:

I think writing the given out helps a bit.

x = small angle

2x+3 = large angle <-- it's 2x since it's twice the small angle and +3 because it's 3 degrees more than the small angle.

small angle + large angle = 180

Now just substitute!

[tex]x+(2x+3)=180\\3x=177\\x=\frac{177}{3} \\x=59[/tex]

Now that you know what x equals (aka the smaller angle) now you can find the larger angle.

[tex]2(59)+3\\118+3\\121[/tex]

Answer:

The smaller angle equals 59°

The larger angle equals 121°

Good luck!

Answer:

C = 14pi

Step-by-step explanation:

C = pi d

The radius is 7 so the diameter is

d = 2r

d = 2*7

=14

C = pi *14

C = 14pi

Answer:

Step-by-step explanation:

we know circumference of a circle = [tex]\pi[/tex]d

here radius = 7 mm

diameter = 2*7= 14mm

therfore circumference = [tex]\pi[/tex] * 14

ie C = 14[tex]\pi[/tex]

therefore 2nd  option is the answer

[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]

F x [tex]d^{2}[/tex] = G[tex]m_{1}m_{2}[/tex]

[tex]d^{2}[/tex] = [tex]\frac{Gm_{1}m_{2}}{F}[/tex]

d = ±[tex]\sqrt{\frac{Gm_{1}m_{2}}{F} }[/tex]

Since "m1" and "m2" represent different masses, we can change them to different letters. This will make it easier to solve.

m1 = m

m2 = n

F = G*m1*m2/d^2 → F = Gmn/d^2

Steps to solve for d:

F = Gmn/d^2

~Multiply d^2 to both sides

d^2 * F = d^2 * Gmn/d^2

~Simplify

d^2 * F = Gmn

~Divide F to both sides

d^2*F/F= Gmn/F

~Simplify

d^2 = Gmn/F

~Take the square root of both sides

√d^2 = ±√Gmn/F

~Simplify

d = ±√Gmn/F

Since we are done solving for d, we can input "m1" and "m2" to replace "m" and "n".

d = ±√Gmn/F → d = ±√G*m1*m2/F

Therefore, the answer is [ d = ±√G*m1*m2/F ]

Best of Luck!

Answer:

729x^12

Step-by-step explanation:

3x^2*3x^2*3x^2*3x^2*3x^2*3x^2

Answer:

BC² = 10² + 30²

the answer is D

The length of BC can be founded by the equation (BC)² = 30² + 10².

Thus, option D is the correct option.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

A)  -2/3

Step-by-step explanation:

To find the answer look at what it's asking you to do.  (f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{2x}{x^2+2}[/tex]

Now you need to find (f/g)(-1).  Plug in -1 wherever there is an x and simplify.

[tex](f/g)(-1)=\frac{2*-1}{(-1)^2+2}\\ (f/g)(-1)=\frac{-2}{1+2}\\ (f/g)(-1)=\frac{-2}{3}[/tex]

Your answer is -2/3

Answer:

b=15

Step-by-step explanation:

360-90=270

270+60=330

360-330=30/2=15

Answer:

The measure of angle b is 15 degrees,

Step-by-step explanation:

Both triangles are isosceles. The inside one is also a right triangle. Since the big triangle is isosceles and the two angles add up to 120 degrees, they also have to be equal, meaning ∠P≅∠R=60 degrees. The inside triangle is also isosceles, meaning that m∠a=60°-b, which 60°-b representing the measure of the last angle in the smaller triangle. Since ∠a and the third angle are congruent, they each have to equal 45°. 60°-45°=15°. The measure of ∠b=15°.

Answer:

[tex] \boxed{A. \: 1} [/tex]

Step-by-step explanation:

[tex] = > x + \frac{1}{5} (x - 1) = 1 \\ \\ = > x + ( \frac{1}{5} \times x) - (\frac{1}{5} \times 1) = 1 \\ \\ = > x + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = >( x \times \frac{5}{5} ) + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = > \frac{5x}{5} + \frac{x}{5} = 1 + \frac{1}{5} \\ \\ = > \frac{5x + x}{5} = (1 \times \frac{5}{5} ) + \frac{1}{5} \\ \\ = > \frac{6x}{5} = \frac{5}{5} + \frac{1}{5} \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1[/tex]

The answer is 29

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

29

Step-by-step explanation:

3(10)-1

30-1

29