Draw scalene triangle ABC and extend side BC to the right of vertex C.

1. If angle A measures 45 degrees and angle B measures 60 degrees, what is the measure of the exterior angle you drew?

2. Explain how you found the answer.

3. What do you observe?

Answer:

2806.72

Step-by-step explanation:

use the phythagrome theorm

Answer:

The lines are parallel because they have the same slope(5x)

Answer:

Since both terms are perfect squares, factor using the difference of squares formula.

(x+9y)(x−9y)

Answer:

Step-by-step explanation:

x^2-81y^2

=(x)^2-(9y)^2

=(x-9y)(x+9y)

Let's first take a look at our x here. --- (x + 2)^2

Because we are adding a two to our x, this means that we are shifting our graph 2 to the left. Remember that with functions, it's always the opposite!

There is nothing attached to the y, so we are not moving our function up or down.

And then the radius of our circle. Remember that the equation requires us to square this value (... = r^2), so we need to take the square root of 4. The square root of 4 is 2.

With this information, let's now look at our options.

Option A - INCORRECT, the radius is too large

Option B - INCORRECT, this was shifted 2 units to the right

Option C - INCORRECT, the radius is too large

Option D - CORRECT, the radius is 2 and the circle was shifted 2 units to the left

Hope this helps!! :)

Answer:

D

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x+2)^2 + (y)^2 = 4

Rewritng

(x- -2)^2 + (y-0)^2 = 2^2

The center is at ( -2,0) and the radius is 2

C and D are the only circles with a center at (-2,0)

B,D are the only circles with radius 2

Answer:

flutter, flap, beat, agitate, vibrate; tremble          could be one of these

Step-by-step explanation:

Answer: vibrate, tremble

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

3/4 · 12 = 9

hi I am sorry I wish I could help

Answer:

x ≈ 6.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 17.1² = 18.2²

x² + 292.41 = 331.24 ( subtract 292.41 from both sides )

x² = 38.83 ( take the square root of both sides )

x = [tex]\sqrt{38.83}[/tex] ≈ 6.2 ( to the nearest tenth )

Answer:

1,100 is your area

Step-by-step explanation:

First we cut the shape into three, two triangles and a square, the formula to find the area of a square is A=a^2 (a is the side)

A=25^2

A=625

now to find the triangles the formula to find the are we use the right angled triangle formula twice which is A=a*b/2

A=25*19/2

A=475/2

A=237.5

now add them all up

625+237.5+237.5=

1,100

Answer:

b < -2

Step-by-step explanation:

-5 - b < 3

-5 - b + -5 < 3 + -5

b < -2

Answer:

x =127

Step-by-step explanation:

Since this is a 6 sided figure, the sum of the interior angles is 720

128+133+112+x+120+100 = 720

Combine like terms

x+593=720

Subtract 593 from each side

x+593-593 = 720-593

x =127

Hint :

Sum of angles of the 6 sided figure = [tex] {720}^{o} [/tex]

Answer:

[tex] {x}^{o} = {127}^{o} [/tex]

Step-by-step explanation:

[tex] {x}^{o} + {112}^{o} + {133}^{o} + {128}^{o} + {100}^{o} + {120}^{o} = {720}^{o} \\ {x}^{o} + {593}^{o} = {720}^{o} \\ {x}^{o} = {720}^{o} - {593}^{o} \\ {x}^{o} = { 127}^{o} [/tex]

Answer:

x > -5

Step-by-step explanation:

[tex]-5(x+7)<-10\\x+7>2\\x>-5[/tex]

Answer:

x > -5

Step-by-step explanation:

-5 (x+7) < -10

The next step is to divide both sides by -5 and flip the sign

(x+7) > [(-10/(-5)]

x+7 > 2

Finally, subtract both sides by 7

x > 2-7

x > -5

Answer:

0.2 or less

Step-by-step explanation:

since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

✐ The probability that the sweet is orange flavored is 0.2

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

Step-by-step explanation:

First blank is 4

second blank is 2/4

third blank is 4

fourth blank is 9

Answer:

first blank : increase

second blank : +2

third blank : -1

fourth blank : 4

fifth blank : 5

Step-by-step explanation:

Answer:

Answer:so -7-5 is graeter than  - 1 /1/5 and it above 1/1/5

Step-by-step explanation:

Answer:

the circumference is 37.7 cm

Answer:

circumference = 37.7

Step-by-step explanation:

in the photo I explained the formula of how to find the circumference

Answer:

25

----

36

Step-by-step explanation:

Square both the numerator and the denominator of this fraction, 5/6:

25

----

36

The sqaure will be like this;

= 5/6 × 5/6

= 25/36

EASY!!

Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

[tex]\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right][/tex]

Is just completed as:

[tex]\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right][/tex]

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right][/tex]

Answer:

Step-by-step explanation:

take angle A as reference amgle

using cos rule

cos A=adjacent/hypotenuse

0.9659=c/25

0.9659*25=c

24.1475=c

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

The third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].

The sequence exists in a particular order in which connected things follow each other.

The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2

Second term b will be [tex]$-2*6+13=1$[/tex]

The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]

So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]

If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]

If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]

So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.

Therefore, the third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex]  exists reversed will be [tex]$\frac{a-13}{6}$[/tex].

To learn more about sequence

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Answer:

30m x 40m

Step-by-step explanation:

The diagram is 15cm x 20cm

since 1cm = 2m

the backyard measures

30m x 40m

Answer:  The backyard is 30 meters by 40 meters

30 meters = horizontal dimension

40 meters = vertical dimension

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

Explanation:

The pool on paper is 7.5 units across horizontally. Applying the scale factor, we can see that it corresponds to 7.5*2 = 15 meters

The 20 meter portion is vertical. On paper, we see that it's 10 units tall. So the "times 2" operation applies to jump from 10 cm to 20 meters

Or you could note that the ratio 1 cm : 2 m scales up to 10 cm : 20 m after multiplying both parts by 10.

-----------------

With that in mind, all we need to do really is count the number of squares across the top and along the left side. Across the top, we have 15 squares. That 15 cm corresponds to 15*2 = 30 meters in length.

Along the left side, the figure is 20 cm tall. So that corresponds to 20*2 = 40 meters.

The backyard is 30 meters by 40 meters. This includes the backyard, shed, and other features in the diagram. The entire backyard is 30*20 = 600 square meters. If you wanted to know the area of the grass only, then you'd subtract off the areas of the pool, shed, etc.

-----------------

Your teacher mentions that the pool is similar to the backyard overall. Since we're in a geometry setting, the word "similar" is very specific of course.

We can match up the corresponding lengths to form a proportion like so

(large horizontal)/(small horizontal) = (large vertical)/(small vertical)

30/15 = 40/20

2 = 2

So that confirms we have similar figures, at least in terms of the sides being proportional. Everything being a rectangle helps show that all angles are the same.

Answer:

[tex]{ \boxed{ \tt{height = \sqrt{ {(hypotenuse)}^{2} - {(adjacent)}^{2} } }}} \\ h = \sqrt{ {(12)}^{2} - {( \frac{6}{2} )}^{2} } \\ h = \sqrt{135} \: cm \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]

The height of the cone is 11.6 centimeters.

'A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has the measured value of radius. And the length of the cone from the vertex to any point on the circumference of the base is the slant height.'

According to the given problem.

Given,

Diameter = 6 cm

Radius = 6/2 cm

            = 3 cm

Slant height (l) = [tex]\sqrt{r^{2} + h^{2} }[/tex]

                 ⇒ l² = r² + h²

                 ⇒ l² - r² = h²

                 ⇒ 12² - 3² = h²

                 ⇒ 144 - 9 = h²

                 ⇒ h² = 135

                 ⇒ h = √135

                 ⇒ h = 11.6 cm

Hence, the height of the cone is 11.6 centimeters.

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Answer:

7

Step-by-step explanation:

Answer:

money earned = 110

Step-by-step explanation:

Money earned * percent saved = money saved

money earned * 30% = 33

Change to decimal form

money earned * .30 = 33

Divide each side by .3

money earned = 33/.3

money earned = 110

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer:

ummmmm i think apple?

Step-by-step explanation:

because if 4 equals green and you put the square root of branch in there you will get branch×apple tree+water=apple my bad its green apple

i did it wrong i just redid the question and found the right answer. so if you put branch×square root of 9 apples+apple tree=9 apples right? well yes but if you add branch+square root of 4 more apples you will get in total 13 apples.

Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.

The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.

The tables that could be used to verify inverse functions are tables C and D

The inverse of a function are the opposites of the function

From the list of options, we can see that:

The x values of table C are the y values of table D

Also, the x values of table D are the y values of table C

This means that tables C and D are inverse functions

Hence, the tables that could be used to verify inverse functions are tables C and D

Read more about inverse functions at:

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Answer:D.5

Step-by-step explanation:

The reflection of M(-5, -6) across the y-axis is point R (5,-6)

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!