the sum of the measures of two interior angles of a triangle is 593°. Find the measure of the sixth interior angle

Nan rode the roller coaster 8 times, which was twice as many times as she rode the F erris wheel

lyudmila [28]

So she rode the Ferris Wheel 4 times. 8/2= 4

8 0

3 years ago

PLEASE ANSWERRRRRRRRRR

mash [69]

Answer: OPTION B.

Step-by-step explanation:

Given the following System of equations:

$\left \{ {{3x-5y=19} \atop {x+y=1}} \right.$

You can use the Elimination Method to solve it. The steps are:

1. You can mutliply the second equation by -3.

2. Then you must add the equations.

3. Solve for the variable "y".

Then:

$\left \{ {{3x-5y=19} \atop {-3x-3y=-3}} \right.\\.....................\\-8y=16\\\\y=\frac{16}{-8}\\\\y=-2$

4. Now that you know the value of the variable "y", you must substitute it into any original equation.

5. The final step is to solve for "x" in order to find its value.

Then:

$x+(-2)=1\\\\x=1+2\\\\x=3$

Therefore, the solution is:

$(3,-2)$

8 0

3 years ago

Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1

weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

$f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})$

This gives

$f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})$

Evaluate the products

$f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})$

Evaluate the like terms

$f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}$

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

7 0

1 year ago

Joe and grace are baking cookies.they need a total of 2 cups of sugar for the recipe. Joe has 11/10 cups of sugar and grace has3

labwork [276]

No, Joe and Grace don’t have enough together because 11/10 is only 1.1 and 3/4 is .75 and u add that together u get 1.85 which is less 2.

Grace needs 12 cups of sugar to make the cookies because 1 cups of sugar makes 6 cookies and each person is getting 3 that’s only enough for 2 people , so multiple every by 12 to get 24 people, 12 cups of sugar, and 72 cookies .

6 0

3 years ago

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com

DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

Solution:

The formula for amount when interest is compounded annually is:

$\mathrm{A}=P\left(1+r}\right)^{n}$

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

From given, $850 at 2% for 9 years, compounded annually

P = 850

t = 9 years

$r = 2 \% = \frac{2}{100} = 0.02$

Substituting the given values we get,

$A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82$

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0

2 years ago