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nadezda [96]
2 years ago
10

Find the measure of K

Mathematics
1 answer:
eimsori [14]2 years ago
5 0

Answer:

50+50=100

180-100=50

The answer is 40

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What is the solution to f(x) = g(x)
Vaselesa [24]

Answer:

B) -1 and D) 1

Step-by-step explanation:

We want to find the solution to

f(x)=g(x)

Which means that we want to find the values of x at which the two functions f(x) and g(x) are equal.

In order to do that, we have to look at the table, and see at which values of x the two functions have the same value.

We observe that the only two values at which this occurs are:

at x=-1, where both functions are equal to f(x)=g(x)=-3

at x=1, where both functions are equal to f(x)=g(x)=5

7 0
3 years ago
Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

4 0
3 years ago
What is the LCM of 12, 25, and 36?
elena55 [62]
The answer to this question is the number 6
6 0
3 years ago
Read 2 more answers
Sara has $1.30 less than double what Billy does. Sara has $53.72. How much money does Billy have?​
lilavasa [31]

Answer:

Billy has $27.51

Step-by-step explanation:

First let's set up an equation to solve this problem.

Assign a variable to Billy's amount. Let's make it x.

Then we just interpret the problem and solve:

2x - 1.30 = 53.72

     +1.30    +1.30

----------------------------

2x = 55.02

(Divide by 2 on both sides)

----------------------------

x = $27.51

2x = Billy's amount doubled

2x - 1.30 = Taking away 1.30 from double Billy's amount

53.72 = Sara's amount

6 0
3 years ago
50 POINTS! SHOW WORK OR ILL REPORT
Hatshy [7]

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

6 0
3 years ago
Read 2 more answers
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