A triangle has angle measures that are related as follows:


• The largest angle is eight times the smallest angle.


• The middle angle is triple the smallest angle..


a) write an equation to model the relationship


b) solve the equation and then determine the measure of each angle. Sketch the triangle and label the angle measures.

Answer:

According to the given Attachment

we know sum of all angles in a triangle is 180° .

On substituting the given value we obtain

➥ x + 61° + 70° + 61° = 180°

➥ x + 192° = 180°

➥ x = 180° - 192°

➥ x = -12°

So, the value of x is -12°

Step-by-step explanation:

[tex]x + 61 + 70 + 61 = 180(sum \: of \\ \: triangle) \\ \\ x + 192 = 180 \\ \\ x = 180 - 192 \\ \\ x = - 12[/tex]

# be careful#

1) (3.8 * 10^3) * (9.4 * 10^-5) = 0.3572 = 3.6 * 10^-1

2) (4.2 * 10^7) * (7.4 * 10^-2) = 3.1 * 10^6

3) (8.6 * 10^-6) * (7.1 * 10^9) / (4.1 * 10^ -2) * ( 2.8 * 10 ^-7) = 5.3 * 10^-6

4) 4.2 * 10^-1

Sorry for not putting my work for number 4. Hope this helps!

that the bar graph with all components

Answer:

13%, 1/8, 1/9, 0.10  13>1/8>1/9>0.10

Step-by-step explanation:

Answer:

shaded area = 113.64 cm²

Step-by-step explanation:

To find the shaded area, subtract the area of the circle from the area of the triangle.

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²

Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)

From inspection, we can see that the diameter of the circle = 14 cm

Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm

⇒ area of circle = 3.14 x 7² = 153.86 cm²

Shaded area = area of triangle - area of circle

⇒ shaded area = 267.5 - 153.86 = 113.64 cm²

Answer:

Step-by-step explanation:

25x2 − 40x + 16 = (5x)² - 2*5*4  + 4²      { (a - b)² = a² - 2ab + b² }

                          = (5x - 4)²                      { here a = 50 and b = 4}

Side of the square = 5x - 4 units

Part B:

25x2 − 16y2 = (5x)² - (4y)²         { a² - b² = (a + b) * (a - b) }

                    = (5x + 4y) * (5x - 4y)    { here a = 5x and b = 4y}

Dimensions of Rectangle: (5x + 4y) ; (5x - 4y)

Answer:

Step-by-step explanation:

25x²+40x+16=25x²+20x+20x+16

=5x(5x+4)+4(5x+4)

=(5x+4)(5x+4)

=(5x+4)²

length of side=5x+4

Answer:

788947

Step-by-step explanation:

I'm just here for answers

Answer:

Don't know the number.

Step-by-step explanation:

Tell me also.

Answer:

0.5

Step-by-step explanation:

4-(-3)

4+3=

7

Half of 7 is 3.5

4-3.5=0.5

Answer:

The number 0.5 is halfway between -3 and 4.

Step-by-step explanation:

To find the halfway point between two numbers, add them together and divide by 2.

-3 + 4 = 1

1/2 = 0.5

Answer:

4.4 and almost a half

Step-by-step explanation:

Because he can't but 5 because if he bought 5 it would be 6$

But 4 he can if you add taxes.

1.20 for 1

2.40 for 2

3.60 for 3

4.80 for 4

Answer:

12

Step-by-step explanation:

Start by expanding the expression:

4(3x+5)

Distribute the 4 to each of the numbers in the parentheses

12x+20

The coefficient of x is basically what is being multiplied by x. In this scenario, we can expand 12x to be...

12*x

Which means that the coefficient of x is 12

12x+20

12x+20=0

12x=-20.

12÷12x=-20÷12

x=-5/3

x=negative five over three

Answer:

Step-by-step explanation:

LCM of 5 and 25=25

Now,

18/5=18x5/5x5=90/25

72/25=72/25

Since 90/25>72/25

Hence,

18/5 is greater than 72/75

Answer:

  16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

  [tex]\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}[/tex]

__

Additional comment

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

  area = 4.5 +3×4 = 16.5 . . . square units

Answer:

Step-by-step explanation:

625km divide by 25L =25

Hoped it helped u

Answer:

The radius is equal to  [tex]\frac{30}{pi}[/tex]   or about 9.5 inches

Step-by-step explanation:

A revolution is the same as the circumference,

which can be found using C = 2πr

C = 2πr

60 = 2πr

(2π)r = 60

r = [tex]\frac{60}{2pi}[/tex]

r = [tex]\frac{30}{pi}[/tex] or about 9.5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

1.6 - 1.4 = 0.2

0.2 / 1.4 = 0.14 = 14%

Step-by-step explanation:

Composite functions are functions of functions. The needed composite function for given context is: [tex]P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]

Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as  [tex](f\circ g)(x)[/tex]input to first function.

Thus, we have;

[tex](f\circ g)(x) = f(g(x))[/tex]

For the given case, it is given that:

To evaluate how many paintings Jojo completes in a year, we need [tex]P(J(y))[/tex]  (since, we need number of paintings and input is year, so we convert year to number of weeks by function J, and then give the output to P function to evaluate number of paintings)

Thus,

[tex]P(w) = \dfrac{2}{3}w - 2\\\\P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]

Thus,

The needed composite function for given context is: [tex]P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]

Learn more about composite functions here:

https://brainly.com/question/24780056

Answer:

technology because of our building style or oil

Step-by-step explanation:

Answer:

f = 12

Step-by-step explanation:

Step 1: Multiply both sides by 3.

Step 2: Check if solution is correct.

Have a lovely rest of your day/night, and good luck with your assignments. ♡

Answer:

hello the correct answer is x=6

Step-by-step explanation:

Answer:

y-intercept, where the graph crosses y-axiss is 0. that means in the equation: y = mx + b

b = 0

the m, is slope. looking at the graph you can see the points on the line are connect up 4 right 1. rise/run = slope = 4

y = 4x

Step-by-step explanation:

Would - (-2) 4 be negative or positive ?

- x - = +

Therefore -(-2)4 = 2*4= 8 which is positive

Answer:

140

Step-by-step explanation:

30+30=60

40+40=80

60+80=140

Answer:

140

Step-by-step explanation:

I got it right on edge

Answer:

-2/5

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -5 - -3)/( 5 - 0)

   = ( -5+3)/( 5-0)

   = -2/5

Hi! I can help you with joy! :)

Answer:

[tex]\huge\boxed{\bold{Slope=\displaystyle-\frac{2}{5} }}[/tex]

Hope it helps!

~Nature~

Answer:

73 nickels, 27 dimes

Step-by-step explanation:

x+y=100

5x+10y=635

x=100-y

5(100-y)+10y=635

500-5y+10y=635

500+5y=635

5y=135

y=27

5x+10(27)=635

5x+270=635

5x=365

73

73+27=100

Answer:

This is a right answer. You can check it

Answer:

X = 28

Y = 14

Step-by-step explanation:

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