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ahrayia [7]
3 years ago
12

Find angle E if angle E and angle F are supplementary, angle E= 2x + 15 and angle F= 5x - 38

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

Angle E = 73 degrees

Step-by-step explanation:

Supplementary means it equals 180 degrees.

So to find x, you add the 2 equations.

2x + 15 + 5x - 38 = 180

which equals 7x + (-23) = 180 = 7x - 23 = 180

7x = 203  You move the -23 to the other side

203/7 = 29  So x = 29 degrees

So to find angle E, you put in 29 degrees for x.

2 x 29 + 15 = 73 degrees

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What is 2x+5=y and 5x+4=y pls hurry
Sergeu [11.5K]

Answer:

( 1/3, 5 2/3) Or (0.33, 5.66)

Step-by-step explanation:

If you graph the 2 equations and see where they intersect, they will land on the answer.

4 0
3 years ago
Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​
Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0
3 years ago
Please help me:(***********​
jeka94

Answer:

<em><u>A:</u></em>

<em><u>Square</u></em>

<em><u>Rectangle</u></em>

<em><u>Parallelogram</u></em>

<em><u>Quadrilateral</u></em>

<em><u>Rhombus</u></em>

<em><u></u></em>

<em><u></u></em>

Step-by-step explanation:

All sides and angles are equal so it is a square

All angles are 90 degrees so it is a rectangle (eliminate C)

Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)

It has 4 sides so it is a quadrilateral (eliminate B)

Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.

Opposing sides are congruent so it is a rhombus.

4 0
3 years ago
Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2
4vir4ik [10]

Answer:

\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}

Step-by-step explanation:

We are given the function:

\displaystyle g(x)=-\frac{3}{x-2}+2

Let's find the inverse of g.

Call y=g(x):

\displaystyle y=-\frac{3}{x-2}+2

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

y(x-2)=-3+2(x-2)

Operate:

yx-2y=-3+2x-4

Collect the x's to the left side and the rest to the right side of the equation:

yx-2x=-3-4+2y

Factor the left side and operate on the right side:

x(y-2)=-7+2y

Solve for x:

\displaystyle x=\frac{-7+2y}{y-2}

Interchange variables:

\displaystyle y=\frac{-7+2x}{x-2}

Call y as the inverse function:

\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}

5 0
3 years ago
If 12 cows produce 70 gallons of milk, how many gallons would 42 cows produce?
omeli [17]

Answer:

245

Step-by-step explanation:

-6 cows produce 35 gallons

6 x 7 =42

so 7 x 35 = 245

8 0
3 years ago
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