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Aleksandr-060686 [28]
2 years ago
9

A side of the triangle below has been extended to form an exterior angle of 164". Find

Mathematics
1 answer:
Arada [10]2 years ago
3 0

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

x^\circ+53^\circ=164^\circ

x^\circ=164^\circ-53^\circ

x^\circ=111^\circ

x=111

Therefore, the value of x is 111.

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Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?
cupoosta [38]

For this case we have the following system of equations:

y = -x ^ 2 + x + 2\\y = -x + 3

We observe that we have a quadratic equation and therefore the function is a parabola.

We have a linear equation.

Therefore, the solution to the system of equations will be the points of intersection of both functions.

When graphing both functions we have that the solution is given by:

x = 1\\y = 2

That is, the line cuts the quadratic function in the following ordered pair:

(x, y) = (1, 2)

Answer:

the solution (s) of the graphed system of equations are:

(x, y) = (1, 2)

See attached image.

3 0
3 years ago
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Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The boat rental costs $1.50 for every 15 minutes.
dem82 [27]

Answer:they would pay a total amount of $9

Step-by-step explanation:

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The number of hours for which they rented the boat would be

11:45 - 10:15 = 1 hour 30 minutes = 1.5 hours.

Converting to minutes, It becomes

60 + 30 = 90 minutes.

The boat rental costs $1.50 for every 15 minutes. Therefore, the total amount of money that they would pay is

90/15 × 1.5 = $9

8 0
2 years ago
Hey please help this is due today ​
Aleksandr [31]

Answer:

100

Step-by-step explanation:

Write in an equation:

4=4%x, then divide 4% from both sides, and then you get 100.

7 0
2 years ago
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The left and right pages of an open book are two consecutive integers whose sum is 359. Find these page numbers
ZanzabumX [31]

179 and 180

consecutive numbers have a difference of 1 between them

let the 2 numbers be n and n + 1, then

n + n + 1 = 359

2n + 1 = 359 ( subtract 1 from both sides )

2n = 358 ( divide both sides by 2 )

n = 179 and n + 1 = 179 + 1 = 180

the 2 pages are 179 and 180



6 0
3 years ago
PLZ HELP ASAP WILL GET BRAINLIEST WHEN IT LETS ME
solniwko [45]
That part is the median, which is 57.

7 0
3 years ago
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