These triangles are similar. Find the missing
length.

Answer:

14

Step-by-step explanation:

28 divided by 2 = 14

answer = 14

point A (-1-1) point B(-2-1)

Answer:

x = -4

Step-by-step explanation:

(x - 5) (x + 4) = x^2 + 4x

If you expand this, you get:

x^2 - x - 20 = x^2 + 4x

graph similar terms together, the x^2 disappears:

-20 = 5x

x = -20/5 = -4

Answer:

ITS A (i took the unit test)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1,2,4,5

The correct statements are,

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Here, RST is a triangle,

Therefore,  

m∠R + m∠S + m∠T = 180°

⇒ m∠S+m∠T = 180° - m∠R

Since, m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)

⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and  m∠R > m∠T

Thus, Option first second fourth and fifth are correct.

Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)

That is why m∠S = m∠T is not correct.

And, there are not enough information to prove m∠S > m∠T

That is why  m∠S > m∠T is also incorrect.

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[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto z = c\cos \alpha[/tex]

Therefore:

[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]

Now:

[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]

[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]

[tex] \rm = 1[/tex]

Therefore:

[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]

Answer:

7x=y

Step-by-step explanation:

7x=y

7 times x(#of weeks)= y (paper recycled)

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Franklin's office just started a new recycling program this year. They aim to recycle [tex]7[/tex] kilograms of paper each week.

So, it would be

[tex]7x=y[/tex]

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

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Answer:

F=86°

G=75°

H=19°.........

Answer:

2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6

Step-by-step explanation:

Answer:

thats a crazy question

Step-by-step explanation:

how the tables have turned

Answer:

8 + 4 = 12

Step-by-step explanation:

Brainyyyy

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.

4 cups of water would need 16 tablespoons of olive oil.

Each cup of water uses 2 2/3  cups of flour, while each cup of flour he uses, Amir needs to use 1 1/2  tablespoons of olive oil. Hence for 4 cups of water:

4 cups of water = 2 2/3  cups of flour × 4 cups = 32/3 cups of flour

32/3 cups of flour = 1 1/2  tablespoons of olive oil * 32/3 = 16 tablespoons of olive oil

4 cups of water would need 16 tablespoons of olive oil.

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Answer:

2... i think

step by set explanation:

Answer:

4 students to deliver magazines and 6 students to deliver newspaper

Step-by-step explanation:

The minimum number of students needed is 6.

Given that, in one day students can deliver 850 newspapers and 1440 magazines. Each student can deliver either 25 newspapers or 60 magazines in 1 hour.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, in 1 hour a student can deliver 25 newspapers, so in 6 hours a student can deliver 25 × 6 =150

So, number of students = 850/150 = 5.66

≈ 6

Now, 60 × 6 =360

So, number of students = 1440/360 = 4

Therefore, the minimum number of students needed is 6.

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Answer:

29520728184915396206153835295

Answer:

6 hours

Step-by-step explanation:

let the no. of hours  she rent the bike be x

then,

13 + 7*x = 55

13 +  7x = 55

7x = 55 -13

7x = 42

x = 6

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

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

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

they are not like variables and terms so u cant add them nor subtract term soit stays as it is

Answer:

There are 720 possible results.

Step-by-step explanation:

Answer:

9/2 simplified

and 4 1/2 as a mixed number

Answer:

Fraction: 9/2

Mixed: 4 1/2

Step-by-step explanation:

We do this by first finding the greatest common factor of 90 and 20, which is 10.

Then, we divide both 90 and 20 by the greatest common factor to get the following simplified fraction:

9/2

Therefore, this equation is true:

90/20 = 9/2

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

9/2 = 4 1/2

Step-by-step explanation:

y=120+55x

here,X = -24/11

Y=120

don't have time or else I would have shown the details

The independent variable in this situation is x and it represents the number of hours taken for installation

Two or more expressions with an Equal sign is called as Equation.

Given,

Mr. Chen hires an electrician to install the light fixtures for an addition to his house.

The function y=120+55x can be used to model the total cost of the job, in dollars

The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.

initial fee=120

Here x is the independent variable which represents the number of hours taken for installation

Hence, the independent variable in this situation is x and it represents the number of hours taken for installation

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Answer:

its 0

Step-by-step explanation:

yea i made that up I NEED POINTS ALR

Answer:

-14.4

Step-by-step explanation:

-6x(-0.6)x(-4)= -14.4

[tex] - \frac{6(5 - 2x)}{5x} [/tex]

i hope its help

Answer:

D) 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]

[tex]25+8[/tex] ≤[tex]60[/tex]

[tex]33[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]

[tex]50+8[/tex]≤[tex]60[/tex]

[tex]58[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]

[tex]35+20[/tex]≤[tex]60[/tex]

[tex]55[/tex]≤[tex]60[/tex]

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]

[tex]45+24[/tex]≤[tex]60[/tex]

[tex]69\geq 60[/tex]

Hence it is not correct since it violates the inequality

Answer:

13

Step-by-step explanation:

Answer:

B. 26%

Let say a month=30days

✓if ½ a month is 15 days

Then 30 days = 2(1720)

= $3440.00

% = (900÷3400)x100 =26%