Given: m∠ELG = 124°

Prove: x = 28

3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.

Answers:

2% bond: $11000

4% bond: $13000

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

Explanation:

x = amount invested in the 4% bond

y = amount invested in the 2% bond

Amounts are in dollars

The two amounts add to $24,000 so

x+y = 24000

y = -x+24000 is one equation to set up

0.04x = interest earned from the 4% bond

0.02y = interest earned from the 2% bond

0.04x+0.02y = total interest earned = $700

0.04x+0.02y = 700 is another equation to set up

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

The system of equations is

[tex]\begin{cases}y = -x+24000\\0.04x+0.02y = 700\end{cases}[/tex]

Apply substitution. Solve for x.

0.04x+0.02y = 700

0.04x+0.02(-x+24000) = 700

0.04x-0.02x+480 = 700

0.02x= 700-480

0.02x= 220

x= 220/(0.02)

x = 11000

Use this to find y

y = -x+24000

y = -11000+24000

y = 13000

Step-by-step explanation:

PART 1:

on the graph you can make a triangle at any point and with any angle measures.

i recommend a smaller right triangle to be easiest.

i recommend the points (0,3) A (3,0) B and (0,0) C

∆ABC angle measurements:

m∠CAB=45°

m∠ABC=45°

m∠ACB=90°

PART 2:

(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right

m∠FDE=45°

m∠DEF=45°

to find the missing value of the angle EFD we will use subtraction and addition

180-(45+45)

180-90

90

therefore, the m∠EFD=90°

PART 3:

both the angle measures and the shapes of the triangles are the same

PART 4:

i used a 1:1 ratio

sorry for the wait :)

Answer:

y = -5x

Step-by-step explanation:

gradient = delta y / delta x

gradient = -10 / 2

gradient = -5

y = mx + b

5 = -5(-1) + b

5 = 5 + b

b = 0

y = -5x

Answer:

option b, y = 3/4x - 11

Step-by-step explanation:

Parallel lines have the same slope,

slope = rise / run where the rise is 3 and the run is 4

slope = 3/4

The line is in a upwards trend making the slope positive making choice c and d incorrect

The line passes through (8, -5)

y = 3/4x + b, (x, y)

-5 = 3/4(8) + b

-5 = 6 + b

-5 - 6 = 6 - 6 + b

-5 - 6 = b

-11 = b

y = 3/4x - 11

Answer:

x²+14x+11

Step-by-step explanation:

Find the perimeter of the triangle.

The perimeter is:

add them

-x²+9x

2x²+6

5x+5

x²+14x+11

quizlet

Answer: 20

Step-by-step explanation:

A and B have 57+79-42=94 distinct elements in total.

This means that 114-94=20 elements are in neither A nor B.

Answer:

Step-by-step explanation:

56565656565656565656565

The Gross pay which Derek gets is 690 dollars.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.

Here, Total hours worked by Derek = 43 hours

Rate of pay = $15 per hour

Rate of pay beyond 40 hours = $30 per hour

Now,

Rate of pay for the first 40 hours = 40 X 15 = $ 600

Since the pay rate doubles after 40 hours,

Rate of pay for the remaining 3 hours = 3 X 30 = $ 90

Gross Pay = 600 + 90 = $ 690

Thus, the Gross pay which Derek gets is 690 dollars.

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Answer:

sub(2，-6)into y=mx+C

-6=-1(2)+C

C=-4

equation=y=-x-4

Answer:

y = -x - 4

Step-by-step explanation:

Given:

a line with a slope of -1, passing through the point (2,-6)

Point-Slope Form: y - y₁ = m(x - x₁)

where:

(x₁, y₁) is the given point

m is the slope

Substitute the given values into the formula:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-6) = -1(x - 2)

⇒ y + 6 = -1(x - 2) [distribute -1 through the parentheses]

⇒ y + 6 = -x + 2 [subtract 6 from both sides]

⇒ y + 6 - 6 = -x + 2 - 6

⇒ y = -x - 4

Check your work:

⇒ y = -x - 4 [substitute 2 for x, and -6 for y]

⇒ -6 = -2 - 4 [simplify]

⇒ -6 = -6 ✔

Therefore, the equation of the line is: y = -x - 4

Other examples:

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Answer:

the formulas for profit and loss percentage are given below profit percentage p profit cost price into 100 loss percentage l is equal to loss cost price is into 100 SP

Answer:

x=−3 and y=26

Step-by-step explanation:

Let's solve your system by substitution.

3x+y=17;x+2y=49

Step: Solve 3x+y=17 for y:

3x+y=17

3x+y+−3x=17+−3x(Add -3x to both sides)

y=−3x+17

Step: Substitute−3x+17 for y in x+2y=49:

x+2y=49

x+2(−3x+17)=49

−5x+34=49(Simplify both sides of the equation)

−5x+34+−34=49+−34(Add -34 to both sides)

−5x=15

-5x/5  = 15/-5 (Divide both sides by -5)

x=−3

Step: Substitute −3 for x in y=−3x+17:

y=−3x+17

y=(−3)(−3)+17

y=26(Simplify both sides of the equation)

Answer:

x=−3 and y=26

This can be represented by [tex]\boxed{10(x+y)}[/tex]

Answer: Read attachment.

Step-by-step explanation: Attached below is my work. Hope it helps!

The better option will be at DiscountsRUs 40% off on any purchase.

The amount of money which is reduced on any product below its actual selling price is called the discount.

here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.

For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.

Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.

Therefore better option will be at DiscountsRUs 40% off on any purchase.

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The amount of force is moving the wagon along ground level will be 26.8 pound

A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction.

Given a wagon is being pulled by a handle making a 40° angle with a force of 35 pounds

We have to find amount of force is moving the wagon along level ground

The angle with force is given 40 degree

So the formula to find amount of force is moving the wagon along level ground will be as follow:

Fₓ = F cosθ

Fₓ = 35 * cos40

Fₓ = 26.8 pound

Hence amount of force is moving the wagon along ground level will be 26.8 pound

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Answer:

16 x^14 / y^16

Step-by-step explanation:

Remember   ' PEDMAS '

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

 so do the stuff inside the parentheses to get

  y^8     ^-2

  4x^7  

Now do the exponents  ( the -2  one)

y^-16

4^-2 x^-14       then simplify

16 x^14 / y^16

Answer:

0.0085× 100= 0.85℅

Step-by-step explanation:

okay so you want 3/8 from 44 as percentage but how can you put the 3/8 on top of the 44 to multilply it by 100 to get the percentage, ofcourse we will have to change the 3/8 into a whole number. To do that we are going to do the following.

= 3 ÷ 8 = 0.375, so here you got a number that you can put on the 44.

Now to get the percentage we are going to do this:

0.375/44 × 100

= 0.0085 × 100 ( I solved the 0.375/44 as you know that division always comes first in maths)

= 0.85℅ ( I solved the 0.0085 × 100)

°•°•° I hope this helped sorry for taking long °•°•° May I get brainliest if you liked my ans im trying to lvl up ty and its okay if you don't want to

The expression that is equivalent to the given logarithm equation is log₄ 1 / 4  + log₄ x²

log₄ (1 / 4 x²)

Using logarithm law, the logarithm can be express as follows;

using logarithm law,

Therefore, the expression that is equivalent to the given logarithm equation is as follows:

using addition law for logarithm,

log₄ (1 / 4 x²) = log₄ 1 / 4  + log₄ x²

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Answer:

Theres no bag we cant solve it without you showing a picture or describing it

Step-by-step explanation:

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}[/tex] (Reduced to simplest form.)

Answer:

To answer 5)

First we know that...

[tex]\frac{235}{360}[/tex] of the circle = 94 people

To find total people=

[tex]\frac{235}{360}[/tex]×x=94

x=144 people

To find the number of hokey players: 360-(235+90) =35

so, [tex]\frac{35}{360}[/tex]×144=14

So, 14 people are chose hockey

5.9

Step-by-step explanation:

345√ is 18.6=3.14*r2 cuz formula

Is πr2

Answer:

height= 13.2 cm

Step-by-step explanation:

h = 2 × A/b

h = 2 × 33 /5

= 13.2

Answer:

X=5

Step-by-step explanation:

f(1)= -1^2+4(1)+12=15

f(2)= -2^2+4(2)+12=16

f(3)= -3^2+4(3)+12=15

f(4)= -4^2+4(4)+12=12

f(5)= -5^2+4(5)+12=7

g(1)=1+2=3

g(2)=2+2=4

g(3)=3+2=5

g(4)=4+2=6

g(5)=5+2=7

so g(5)=f(5)= X=5

Answer:

Step-by-step explanation:

You're suppose to plug in the values 1, 2, 3, 4, 5, and 6 into f(x) and g(x) to find where they're equal to find the solution to f(x) = g(x) (when the column values are equal).

So for example

f(1) = -(1)^2 + 4(1) + 12

f(1) = -1 + 4 + 12

f(1) = 15

g(1) = 1 + 2

g(1) = 3

put these two values in the table for f(1) and g(1)

f(2) = -(2)^2 + 4(2) + 12

f(2) = -4 + 8 + 12

f(2) = 16

g(2) = 2 + 2

g(2) = 4

f(3) = -(3)^2 + 4(3) + 12

f(3) = -9 + 12 + 12

f(3) = 15

g(3) = 3 + 2

g(3) = 5

f(4) = -(4)^2 + 4(4) + 12

f(4) = -16 + 16 + 12

f(4) = 12

g(4) = 4 + 2

g(4) = 6

f(5) = -(5)^2 + 4(5) + 12

f(5) = -25 + 20 + 12

f(5) = 7

g(5) = 5 + 2

g(5) = 7

f(5) = g(5) so the solution is when x=5

f(6) = -(6)^2 + 4(6) + 12

f(6) = -36 + 24 + 12

f(6) = 0

g(6) = 6 + 2

g(6) = 8

Answer:

The answer is 20 L

Step-by-step explanation:

if 1/2 minutes = 1 L

10 minutes = 20 L

Answer:

20 liters

Step-by-step explanation:

when working with math problems about the rate that something is happening, it is typically helpful to find the unit rate.

In this case, the unit rate will be how many liters are lost in 1 minute (per unit essentially means per "1" )

we know that 1 liter is lost in 1/2 minute

1/2 minute = 1 liter

×2                ×2  {multiply both sides by 2 to find "1 minute"}

1 minute = 2 liters

So, for every 1 minute, we lose 2 liters

if we have 10 minutes, we can multiply both sides by 10:

1 minute = 2 liters

×10           ×10

10 minutes = 20 liters

So, after 10 minutes, 20 liters are lost

hope this helps!!

1) ∠E and ∠F are supplementary and ∠F and ∠G are supplementary (given)

2) m∠E+m∠F=180 degrees, m∠F+m∠G=180 degrees (supplementary angles have measures that add to 180 degrees)

3) m∠E=m∠G (subtraction property of equality)

4) ∠E≅∠G (angles with equal measure are congruent)

Answer:

1/36

Step-by-step explanation:

¼ / 9

9 as a fraction is 9/1

use KFC (keep flip change)

¼ x ⅑ = 1/36

[tex] \frac{1}{4} \div 9 \\ \\ first \: way \\ 0.25 \div 9 \\ 0.027 \\ \\ second \: way \: \\ \frac{1}{4} \times \frac{1}{9} \\ \frac{1}{36} \\ 0.027[/tex]

PLEASE GIVE BRAINLIEST

Answer:

3

Step-by-step explanation:

we can think of the slope of a graph as [tex]\frac{rise}{run}[/tex]

the "rise" is the difference in y-values between two points (the change in y)

the "run" is the difference in x-values between two points (the change in x)

when we divide these (rise/run), we find the slope

you can choose any two well-defined points (with clear x and y values), here are the two we will be using:

(remember, points are written as (x, y)  )  

(0 , 2)

(-1 , -1)

for the "rise", we have risen 3 (difference between 2 and -1 = 3 [2- -1 = 3] )

for the "run" we have ran 1 (difference between 0 and -1 = 1) (0 - - 1 = 1)

so, the slope for this graph is: 3/1 ; which simplifies to 3

So, the slope of our graph is 3

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

technical layout:

[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]               (note: slope is called "m" in the format of y=mx + b)

[tex]y_{1}[/tex] means one y-value, [tex]y_{2}[/tex] means other y-value

[tex]x_{1}[/tex] means one y-value, [tex]x_{2}[/tex] means other x-value

{note: it is important to keep the y1 and x1 from the same point, and the y2 and x2 from a shared point}

our equation in this layout:

[tex]m=\frac{2 -(-1)}{0-(-1)}[/tex] = [tex]m=\frac{3}{1}[/tex]

                     m = 3

Answer:  Choice (C)  0> -s> -r

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

Explanation:

Let's consider an example. Pick any two positive numbers for r and s, where r is larger than s. I'll go with these:

We see that r > s is true since 5 > 2 is true

Also both are larger than 0 so we can say r > 0 and s > 0

This all combines into r > s > 0 being the case.

If we negate each number, then -r > -s would no longer be true. Use a number line to see that -5 is to the left of -2, so -5 > -2 is not true. Instead it would be -5 < -2

You can think of it like floors on a skyscraper. Positive numbers are above ground, while negative numbers are below ground in the basement levels. See the diagram below.

So -r > -s must be -r < -s instead. Both are smaller than 0

-r < 0 and -s < 0

This combines to -r < -s < 0

Flip everything and swap the outer sides to get 0 > -s > -r which leads us to choice C as the final answer