1.If you invest $100 at an interest rate of 15%, how much will you have at the end of 8 years?

Answer:

m∠EFD = 90°

m∠EHF = 127°

m∠HFG = 56°

m∠G = 71°

m∠E = 19°

Step-by-step explanation:

From inspection of the given diagram, line segment GD is a straight line and m∠EFG=  90°.  

Angles on a straight line sum to 180°:

⇒ m∠EFG + m∠EFD = 180°

⇒ 90° + m∠EFD = 180°

⇒ 90° + m∠EFD - 90° = 180° - 90°

⇒ m∠EFD = 90°

Angles on a straight line sum to 180°:

⇒ m∠EHF + m∠FHG = 180°

⇒ m∠EHF + 53° = 180°

⇒ m∠EHF + 53° - 53° = 180° - 53°

⇒ m∠EHF = 127°

From inspection of the given diagram, m∠EFH and m∠HFG form a right angle:

⇒ m∠EFH + m∠HFG = 90°

⇒ 34° + m∠HFG = 90°

⇒ 34° + m∠HFG - 34° = 90° - 34°

⇒ m∠HFG = 56°

Interior angles of a triangle sum to 180°:

⇒ m∠HFG + m∠GHF + m∠G = 180°

⇒ 56° + 53° + m∠G = 180°

⇒ 109° + m∠G = 180°

⇒ 109° + m∠G - 109° = 180° - 109°

⇒ m∠G = 71°

Interior angles of a triangle sum to 180°:

⇒ m∠E + m∠EFH + m∠EHF = 180°

⇒ m∠E + 34° + 127° = 180°

⇒ m∠E + 161° = 180°

⇒ m∠E + 161° - 161° = 180° - 161°

⇒ m∠E = 19°

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

[tex]\sf\pink{Given}[/tex]

[tex]\sf\pink{To\: Find}[/tex]

Therefore ,

[tex]\longrightarrow\bf{x + 10 + 3x + 5 + 2x + 15 = 180 }[/tex]

[tex]\longrightarrow\bf{x + 3x + 2x + 15 + 5 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{4x + 2x + 20 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{6x + 30 = 180 }[/tex]

[tex]\longrightarrow\bf{6x = 180 - 30 }[/tex]

[tex]\longrightarrow\bf{6x = 150 }[/tex]

[tex]\longrightarrow\bf{x = \dfrac{150}{6}}[/tex]

[tex]\longrightarrow\bf\pink{x = 25}[/tex]

Therefore value of x is 25 .

Now, finding the the measure of each angle by putting the value of "x" in their places.

∠A = (x + 10)° => (25 + 10)° => 35°

∠B = (3x + 5)° => (3×25 + 10)° => (75 + 5)° => 80°

∠C = (2x + 15)° => (2 × 25 + 10)° => (50 + 15)° => 65°

Answer:

easy

Step-by-step explanation:oklook

Answer:

-⅔ +⅓ √15

Step-by-step explanation:

y= -⅔ +⅓ √15

or

y = − ⅔ + -⅓ √15

Answer:

8$ per hour

Step-by-step explanation

First, we need to find how many hours Naomi worked, total.

Simply add [tex]2.5+4.25=6.75[/tex]

Now we know that Naomi earned 54$ over 6.75 hours.

All we have to do to find the hourly rate is divide [tex]54/6.75=8[/tex]

Naomi earns 8$ per hour mowing lawns.

Answer:

$8

Step-by-step explanation:

Set up an equation with the payrate ($/hr) as the unknown.

2.5 × R + 4.25 × R = 54

6.75 × R = 54 ; R = [tex]\frac{54}{6.75}[/tex] = 8

Answer:   its 150 i did the test

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

I TOOK THE TEST AND IT WAS CORRECT IM FROM K12 BTW :D pls give me brainliest!

Answer:

y = -1/2x + 5

Step-by-step explanation:

x + 2y = 10

Step 1: subtract x from both sides.

you will get:    2y = -x + 10

Step 2: get the y by itself, you can do this by dividing 2 by both sides.

=  2y = -x + 10

     y = -1/2x +10/2

Then, 10/2 simplifies to 5.

So, your answer is: y = -1/2x + 5

Step-by-step explanation:

5y = 120

y = 24

2× = 108

x = 54

Answer:

where is the question?......

Answer:

Millie is 11. Molly is 8.

Step-by-step explanation:

Step 1: Subtract 3 from 19. The reason why you do this is to make sure that you don't have an extra 3 lying in there for the next few steps.

19-3=16

Step 2: Divide 2 from 16. You do this because there are two sisters.

16÷2=8

8 will then become Molly's age

Step 3: Add 3 to 8. This will give you Millie's age because she is 3 years older than Molly.

3+8=11

In conclusion, Millie is 11 and Molly is 8.

The distance, in feet, between the ground and the top of the ladder is 8 feet.

The diagram formed will be a right triangle having the hypotenuse, adjacent and opposite sides

To get the  distance, in feet, between the ground and the top of the ladder, we will use the Pythagoras theorem as shown:

Given the following sides

Substitute the given parameters into the formula to have:

10² = opp² + 6²

opp²=100 - 36

opp² = 64

opp = 8feet

Hence the distance, in feet, between the ground and the top of the ladder is 8 feet.

Learn more on pythagoras theorem here: https://brainly.com/question/2938476

En total, Juan gastó $205.25. 1 kilo de queso cuesta $90. 1/2 kilo de jamón cuesta $60. Si comprara un kilo de tortilla, un kilo de pepino y un kilo de jamón, Juan gastaría $129. Si Juan tiene $430, puede comprar 3 kilos de jamón, 1 kilo de queso, 5 kilos de pepino y 1 2/3 de tortillas.

Dado que Juan compró 1/4 de pepino que cuesta $3, 1 1/2 de jamón que cuesta $120, 1/3 de tortillas que cuesta $6 y 4/8 de queso que cuesta $45, para determinar cuánto dinero gastó en total, cuánto cuesta un kilo de queso, cuánto cuesta medio kilo de jamón, cuánto gastaría si comprara un kilo de tortilla, un kilo de pepino, y un kilo de jamón y, si Juan tiene $430, qué puede comprar sin que le sobre ni un peso, se deben realizar los siguientes cálculos:

Aprende más en https://brainly.com/question/15723794

9514 1404 393

Answer:

  (x, y, z) = (x, x+2, 3x+1)

Step-by-step explanation:

We can add twice the second equation to the first to get ...

  [eq4] -3x +0y +z = 1

Adding the first and second equations gives ...

  [eq5] -x +y +0z = 2

Solving [eq4] for z gives ...

  z = 3x +1

Solving [eq5] for y gives ...

  y = x +2

Then the solution triple is (x, y, z) = (x, x+2, 3x+1).

Answer:

-21

Step-by-step explanation:

(m*n)/p + ( -n )

4(9)/-3 + (-9) = (36/-3) - 9

-12 - 9 = -21

Answer:

From the shape of the graph we can state it is the transformation of the square root function:

This is a reflection of f(x) over x-axis, translation 3 units left and 2 units up.

The transformation is:

The equation is:

Its translated square root function

Rotate along x axis

shift 3 units left

shift 2 units up

Answer:

M (- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 8, - 4 ) , then

midpoint = ( [tex]\frac{-2-8}{2}[/tex] , [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

Answer:

8

Step-by-step explanation:

or 8.24

Answer:

Step-by-step explanation:

3x + 4y = 24

Find the x intercept by solving intersecting the graph of f(x) or y with

y=0 (which is the x-axis)

4y= -3x+24, subtract 3x from both sides of the equation

y = (-3x/4) +6, divide both sides by 4

if y=0 then  

(-3x/4) +6 = 0  , subtract 6 from both sides

-3x/4 = -6, multiply both sides by 4

-3x = -24 , divide both sides by

x= 8, so the x intercept is at (8, 0)

the general formula of a line is y=mx+b , where b is the y-intercept

since our equation is y = (-3x/4) +6 then y intercept is at (0, 6)

Answer:

The first, second, third, and fourth

Step-by-step explanation:

Each input in the first, second, third, and fourth only have one output. In the fifth one 3.3 and 6.6 are seen twice as the x-value, so this is incorrect.

Cada entrada en la primera, segunda, tercera y cuarta tiene solo una salida. En el quinto, 3.3 y 6.6 se ven dos veces como el valor de x, por lo que esto es incorrecto.

Answer:

A  angles are 15 and 75    B.  angles are 30 and 60     C.  angles are 36 and 54

Step-by-step explanation:

Remember that the two acute angles of a right triangle = 90

A  one angle = x ; the other angle = 60 + x     so  60 +x + x = 90

 60 + 2x = 90; 2x = 30;  x = 15  one angles; the other angle is 60 + 15 = 75

B.   One angle = x ; the other angle = 2x     so  x + 2x = 90

     3x = 90 ; x = 30 one angle;    the other angle s 2x = 2(30) = 60  

C    2 : 3 means 2x:3x

       One angle = 2x ; the other angle = 3x ;  so  2x + 3x = 90

       5x = 90;  x = 18  this is what x is equal to.  Now the find the angles:

       one angle is 2x meaning 2(18) = 36 and the other angle is 3x meaning              3(18) = 54.    

To check this answer one angle to the other angle is represented by the ratio 2:3;   36:54 = 2:3   Reduced!  

Answer:

48, 28 respectively

Step-by-step explanation:

You would find the pattern for both.

1) 42, 43, 45, ?, 52

the pattern is +1, +2, +3, +4

42 + 1 = 43 +2 = 45 + 3 = 48 + 4 = 52

42, 43, 45, 48, 52

2) 23, ?, 33, 38, 43

the pattern is to add 5

23 + 5 = 28 + 5 = 33 + 5 = 38 + 5 = 43

23, 28, 33, 38, 43

Answer:

7054.7

Step-by-step explanation:

7054.7 is 7054.72 rounded to the nearst 10

Answer:

7050

Step-by-step explanation:

7050, 5 is in tens and the 4 is in ones but it's less than 5 so it will be zero

Answer:

5y = 45.00; y = $9.00

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

As the graph shows the distance she traveled between B and C stay the same also know as the equal part of her ride.

Answer:

= [tex]\frac{3}{4}[/tex]

Step-by-step explanation: