Write the polynomial

Answer:

LM = 22

Step-by-step explanation:

Tangents to a circle from an external point to the circle are congruent , that is

ML = JL , substitute values

7x - 6 = 3x + 10 ( subtract 3x from both sides )

4x - 6 = 10 ( add 6 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Then

LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22

Answer:

14.) DC

community property

15.) 13+x

community property

12.) 6x-12

distributive property

Answer:

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.

Furthermore, all sides of the triangle measure 2a.

We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.

Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.

Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.

Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

a is DC, b is AD, and c is AC.

Substitute in appropriate values:

[tex]a^2+(AD)^2=(2a)^2[/tex]

Solve for AD:

[tex]\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}[/tex]

Sine is the ratio of the opposite to the hypotenuse:

[tex]\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Substitute:

[tex]\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}[/tex]

Simplify. Hence, regardless of the value of a:

[tex]\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}[/tex]

Answer:

no y intercept

x=-4 is the x intercept

slope is undefined

Step-by-step explanation:

for the intercepts: x=-4. will be clear through a graph

NO Y INTERCEPTS since x=-4 is a vertical line.

slope: the slope is undefined.

Step-by-step explanation:

[tex] \frac{ \frac{1}{5} }{2} = \frac{ \frac{1}{5} }{ \frac{2}{1} } [/tex]

Multiply means by means and extremes by extremes to get;

[tex] \frac{1}{10} \: \: \: meters[/tex]

Let's divide

Answer:

-7n - 3

Step-by-step explanation:

5n-3(4n+1) =

5n -12n -3= 0

-7n - 3

Answer: -7n-3

Step-by-step explanation: first bring the 5n down then multiply -3x4n gives you -12 and multiply 5x1 that gives you 5 so you would write (5n−12n)−3

then remove the parentheses combine like terms like 5 and 12 are alike because of the n's that means subtract because of the - sign 5-12 which gives you -7 and then you bring down -3 because it's outside the parentheses and that's the answer.

Answer:

Width = 3.75 feet

Length = 9.75 feet

Step-by-step explanation:

Given:

Length of fencing = 27 feet

Find:

Dimensions of the garden

Computation:

Assume

Width = x

So,

Length = x + 6

2(L+B) = Perimeter

2(x + x + 6) = 27

2(2x + 6) = 27

4x + 12 = 27

4x = 15

x = 3.75

Width = 3.75 feet

Length = 3.75 + 6 = 9.75 feet

Answer:

Answer is in the picture bro.

Step-by-step explanation:

Answer:

300lb, 250lb, 200lb

Step-by-step explanation:

156kg=343.9lb

Answer:

I'd rather use an explicit rule for bigger values of n

Step-by-step explanation:

Suppose we have a sequence like:

6,14,22,30,..

And we wanted to calculate the 200th term. The recursive rule is:

[tex]a_n=a_{n-1}+8[/tex]

Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.

The explicit rule is:

[tex]a_n=6+8(n-1)[/tex]

To find the term for n=200, just substitute into the rule:

[tex]a_{200}=6+8(200-1)=1598[/tex]

Thus, I'd rather use an explicit rule for bigger values of n

Answer:

There will be 25 baskets each container 4 rolls and 1 pumpkin

Step-by-step explanation:

Rolls = 100

Pumpkins = 25

To make every basket to be exactly the same number of rolls and pumpkins,

Find the highest common factor of 100 and 25

100 = 1, 2, 4, 5, 10, 25, 50, 100

25 = 1, 5, 25

The highest common factor of 100 and 25 is 25

Rolls = 100

= 100/25

= 4

Pumpkins = 25

= 25/25

= 1

Therefore,

There will be 25 baskets each container 4 rolls and 1 pumpkin

Answer:

41.2

Step-by-step explanation:

By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.

This means that tan(27)=21/x.

x(tan 27)=21

x=21/(tan 27), which is about 41.2

I'm not sure if this is how you want it to be done.

Answer:

I have no idea

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is hard that I will say

Answer:

C. Lily worked day and night doing laundry

Step-by-step explanation:

Edge 2022

Answer:

c

Step-by-step explanation:

Answer:

The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.

Answer:

26x - 14

Step-by-step explanation:

3x - 5 + 23x - 9

26x - 5 - 9

26x - 14

Answer:

26x - 14

Step-by-step explanation:

3x - 5 + 23x -9

3x +23x - 9 - 5

26x - 14

Answer:

( 1, -2)

step-by-step explanation:

if reflected over y-axis: use the formula: (x,y) → (-x,y)

then if translated 5 units horizontally, there will be change in x axis:

Answer:

74g:148g

Step-by-step explanation:

If the yogurt portion is 3, then your answer is 148g.

You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.

Answer:

hope it helps

good afternoon

Answer:

He has four outfits if he switches shirts once.

Answer:

84

Step-by-step explanation:

70% of 120= 84