3х + 2y = 14
3х - 2y = 10

Answer:

75°

Step-by-step explanation:

we can form a triangle to help us understand how to solve this problem:

                                                    puppy

∠ Leslie = 35°                                                   ∠ Surekha = 70°

If Leslie's angle is 35° and Surekha's angle is 70°, that gives us a total of 105°. Since the sum of the triangle's three angles is 180°, then the angle at which they will meet is 180° - 105° = 75°

In this exercise, we have to calculate the angle of the path that they met, so we will have:

75°

We know that the geometric figure in question is a triangle and that the sum of its internal angles must be equal to 180 degrees, thus:

[tex]180-105=X\\180-105=75\\[/tex]

See more about triangles at brainly.com/question/2269348

Answer:

15/7. This the answer answer. But if it tells you simplify this then simplify it.

Step-by-step explanation:

Answer:

X = 15/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

expected customers= 1200

actual customers= 725

the percent error= (actual-expected)/expected

substituting the given values we have'

%error=725-1200/1200

%error=475/1200

%error=0.395

To the nearest tenth we have 0.4

%error=0.4*100

%error=40%

Hence the percent error is 40%

Answer:

40%

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

Answer:

Always true

Step-by-step explanation:

The definition of an interior or internal angle bisector is the the dividing line segment that splits the angle into two  equal angles (parts)

Therefore, given that the segment BD is the bisector of ∠ABC, then the formed angles m∡ABD and m∡DBC are, by definition of bisected ∠ABC, always congruent

Answer: the answer is below!!!!!!

Step-by-step explanation:

first: take 28 and divide it by 2 and you will get 14

now take 2 and divide it by 2 and you will get 1

now take the 14 put it over 1 like this------>14/1

Second:take the 5 and divide it by 2 and you get 2.5

not take the 2 and divide it by 2 and you get 1

now take 2.5 and put it over the 1 like this-------->2.5/1

third: take the 3 and divide it by 3/4  

Answer:

[tex] a_n = 31 - 3n\\\\

a_{30}= 59[/tex]

Step-by-step explanation:

Given Arithmetic sequence is:

28, 25, 22, 19, ...

a = 28, d = 25 - 28 = - 3,

nth term of an Arithmetic sequence is given as:

[tex] a_n = a + (n - 1) d\\[/tex]

Plugging a = 28 & d = - 3 in the above equation, we find:

[tex] a_n = 28 + (n - 1) (-3)\\\\

a_n = 28 - 3n +3\\\\

\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\

Plug \: n = 30, \: we \: find:\\\\

a_{30}= 31 - 3 \times 30\\\\

a_{30}= 31 - 90\\\\

\huge\orange {\boxed {a_{30}= 59}} \\\\

[/tex]

Answer: The diagonals are thus equal, and divides the rectangle into right triangles, whereas the diagonals of a parallelogram are not equal and bisect it into two congruent triangles with angles depending on that of the parallelogram.

Answer:

-7 1/7

Step-by-step explanation:

Answer:

a or 7 1/7

Step-by-step explanation:

Answer:C and E

Step-by-step explanation:

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Given that, an employee earns $14 per hour.

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

A). Let the number of hours be x and the total money earned be y

So, y=14x

B). Let the money earn by an employee each year be a and total earning in a year be b.

So, b=a+3% of a

⇒ b=a+0.03a

⇒ b=1.03a

C) Let the number of months be m and the total charge be t

So, t=50+30m

D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months

So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]

E) Let the number of hour be x.

Here, 30 minutes = 1/2 hours

Total charge = 20+5x/2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

To learn more about the constant rate of change visit:

https://brainly.com/question/13448675.

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Answer:

D. [tex] Cos(Z) = \frac{5}{13} [/tex]

Step-by-step explanation:

Using trigonometric ratios formula, thus:

[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = Z

Adjacent = 10

Hypotenuse = 26

Plug in the values into the formula

[tex] Cos(Z) = \frac{10}{26} [/tex]

Simplify

[tex] Cos(Z) = \frac{5}{13} [/tex]

Answer:

its D

Step-by-step explanation:

Answer:

7.5 units

Step-by-step explanation:

First, create a proportion by picking 2 sides:

2.5/n = 5/15

Next, cross multiply:

5n = 37.5

Finally, divide both sides to isolate the variable:

7.5

Therefore your answer is 7.5 units.

Answer:

I cant really read the question

Answer:

[tex]6w+15[/tex]

Answer:

6w+15

Step-by-step explanation:

You just simplify the expression

Answer:

it is 24 . Logically in my idea .

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

[tex]let \: \: ? = x[/tex]

[tex] \frac{7}{49} = \frac{8}{x} [/tex]

Now we solve with cross multiplication

[tex]7 x = 392 \\ x = 56[/tex]

Now we know the mystery number is 56

Answer:

1/15 yards

Step-by-step explanation:

Total yards of packing tape = 4 yards

Yards used for his father = 1 3/5 yards

Yards used for another package = 2 1/3 yards

Total yards used = 1 3/5 + 2 1/3

= 8/5 + 7/3

= 24+35/15

= 59/15 yards

How many yards of packing tape does Carlos have left

Total yards left = Total yards of packing tape - Total yards used

= 4 - 59/15

= 60-59/15

= 1/15

Total yards left = 1/15 yards

Answer:

(6, -1)

Step-by-step explanation:

Solve the System of Equations

2x + 3y = 9 and x − 2y = 8

Add 2y to both sides of the equation.

x = 8 + 2y 2x + 3y = 9

Replace all occurrences of x with 8 + 2y in each e quation.

Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9

x = 8 + 2y

Simplify 2 (8 + 2y) + 3y.

16 + 7y = 9

x = 8 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

7y = −7

x = 8 + 2y

Divide each term by 7 and simplify.  

y = −1

x = 8 + 2y

Replace all occurrences of y with −1 in each equation.

Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)

y = −1

Simplify 8 + 2 (−1).

x = 6

y = −1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6, −1)

The result can be shown in multiple forms.

Point Form:

(6, −1)

Equation Form:

x = 6, y = −1

Answer:

(6, -1)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

your answer is not perpendicular

Step-by-step explanation:

so first you put the y which is -2 and the -x with -3

[tex]-2=(-3)-4[/tex]

when you subtract the -3 from 4 you will get 7

[tex]4-(-3)=7[/tex]

7 is not equal to -2 so it is not perpendicular

[tex]7\neq -2[/tex]

Answer:

The sides are 14.6, 14.6, 9.6

Step-by-step explanation:

Step one:

given

Perimeter= 49

let the equal sides of the triangle be x

so the third side will be x-5

hence the first side is=x

the second side =x

and the third side=x-5

the perimeter of triangle is

P= A+B+C

where A B and C represents all the sides

49=x+x+(x-5)

solve for x

49=2x+x-5

49=3x-5

49-5=3x

44=3x

x=44/3

x=14.6

Hence the third side is

=x-5=14.6-5

=9.6

The sides are 14.6, 14.6, 9.6

Answer:

18 for same length and 13 for 3 length

Step-by-step explanation:

Answer: equilateral

Step-by-step explanation:

Answer:

[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]

Step-by-step explanation:

We have the following complex number [tex]s = \frac{5i}{-2-6i}[/tex], we proceed to simplify the expression as follows:

1) [tex]\frac{5i}{-2-6i}[/tex] Given.

2) [tex](5i)\cdot (-2-6i)^{-1}[/tex] Definition of division.

3) [tex][(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}][/tex] Modulative and associative properties/Existence of the additive inverser

4) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}][/tex] Commutative and associative properties.

5) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

6) [tex][(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}[/tex]    [tex](a+b)\cdot (a-b) = a^{2}-b^{2}[/tex]/Definition of complex number/  [tex]a\cdot (-b) = -a\cdot b[/tex]

7) [tex][(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}[/tex] Definition of sum.

8) [tex](-10\cdot i+30\cdot i^{2})\cdot 40^{-1}[/tex]    [tex]a\cdot (-b) = -a\cdot b[/tex]/Associative and commutative properties.

9) [tex](-30-10i)\cdot 40^{-1}[/tex] Commutative properties/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]

10) [tex]-30\cdot 40^{-1}-(10i)\cdot 40^{-1}[/tex] Distributive property.

11) [tex]-\frac{30}{40}-\frac{10}{40}i[/tex] Definition of division/Result.

[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]

Answer:

$875

Step-by-step explanation:

5000/ .05 =

250

250 x 3.5 =

875

Answer:

Step-by-step explanation:

Given functions

Finding (r-s)(x), (r+s)(x), (r*s)(-1)

Answer:

1. - 2x² + x + 4

2. 2x² + x + 4

3. Answer = 3

Example functions we are given:

r(x) = x + 4

s(x) = 2x²

Now, we Find (r-s)(x), (r+s)(x), (r*s)(-1)

(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4

(r + s)(x) = r(x) + s(x) = x + 4 + 2x² =  2x² + x + 4

(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3

Answer:

20 for de first one and answer (B) for the second.

Step-by-step explanation:

20 for de first one and answer (B) for the second.

hope this helped;3