All categories

3 years ago

The measure of an angle is eighty-nine times the measure of a supplementary angle. What is the measure of each angle?

1 answer:

4 0

Supplementary angles add up to 180°.

$x+89x=180^\circ \\
90x=180^\circ \ \ \ |\div 90 \\
x=2^\circ \\ \\
89x=89 \times 2^\circ=178^\circ$

The measures of the angles are 2° and 178°.

You might be interested in

MODELING WITH MATHEMATICS A farmer plants a garden that contains corn and pumpkins. The total area (in square

laiz [17]

Answer:

The equation in standard form that models area of pumpkins is:

$A_p = A_G - A_c$

and the area is: $x^2+8x+2$

Step-by-step explanation:

Given that the garden has corn and pumpkins

The expressions are:

Total area of garden: $A_G = 2x^2+5x+4$

Area of Corn: $A_c = x^2-3x+2$

Area of Pumpkins: $A_p = ?$

The sum of areas of corn and pumpkins is the total area of the garden.

It can be expressed mathematically as:

$A_G = A_c+A_p$

If we have to find the area of pumpkins,

$A_p = A_G - A_c$

Putting the values

$A_p = (2x^2+5x+4) - (x^2-3x+2)\\A_p = 2x^2+5x+4-x^2+3x-2\\A_p = 2x^2-x^2+5x+3x+4-2\\A_p = x^2+8x+2$

The equation in standard form that models area of pumpkins is:

$A_p = A_G - A_c$

and the area is: $x^2+8x+2$

3 0

3 years ago

Finding the side length of a rectangle given its perimeter or area

KiRa [710]

Answer:
260 yards

332-72 = 260
260+72= 332 (the perimeter)

7 0

3 years ago

Monica runs on a treadmill at an average speed of 7.5 miles per hour for 15 minutes. If, the next day, she runs the same distanc

telo118 [61]

Answer:

Option 2: 14.06 minutes

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

15 minutes = 1/4 hours = 0.25 hours

Speed = 7.5 miles per hour

Now using the speed, distance and time formula

Speed = distance/time

$Speed = \frac{distance}{time}$

$7.5 = \frac{distance}{0.25}$

$7.5 * 0.25 = Distance$

Distance = 1.875 miles

So the distance for 1st day is 1.875 miles.

For next day

Speed = 8 miles per hour

Distance = 1.875

So,

$speed = \frac{distance}{time}$

$8 = \frac{1.875}{time}$

$time = \frac{1.875}{8}$

$time = 0.234375 hours$

Converting the hours into minutes will give

0.234375 * 60 min = 14.0625 minutes

Rounding off to two decimals = 14.06 min

So 2nd option is correct..

6 0

3 years ago

Find the equation of the line that passes through the point (−3, −4) and is parallel to the line that passes through the points

Leni [432]

Answer: the actual answer it d. y=-1/3x-5

Step-by-step explanation:

3 0

4 years ago

(3,4) is an example of a/an

Elan Coil [88]

Answer:

Ordered pair

Definition: An ordered pair is a pair of numbers in parentheses that declare the location of a point on a graph.

4 0

4 years ago