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adell [148]
3 years ago
6

For the following inequality, indicate whether the boundary line should be dashed or solid. x + y < 2

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
6 0

Answer:

Its going to be solid...

Step-by-step explanation:

If the < then sign had a line underneath it then it is dashed but if it does not then its solid!..I love u

Anna35 [415]3 years ago
3 0

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

The inequality as follows :

x+y

There are two conditions to show the boundary lines:

1) Dashed line

2) Solid line

If the equation is ax+by\leq c then, the boundary line should be solid since the inequality hold equal sign too.

If the equation is ax+by, then the boundary line should be dashed since there is given strictly inequality.

So, in our case we have given that

x+y

There is no equality, so the boundary line should be dashed.

Hence, First option is correct.

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Two angles are complements if their sum is 90 degrees. The measure of one angle is one third the measure of its complement. Find
zysi [14]

Answer:

22.5 degrees

Step-by-step explanation:

90 = x + 3x

90 = 4x (divide by 4)

22.5 = x

22.5 + 67.5 = 90

5 0
3 years ago
Can you help me calculate the angles from this kite in the attachment?<br><br><br>AY =, XZ =,
Setler [38]

Answer:

AY=8, XZ=20

Step-by-step explanation:

WY=WA+AY, plug in values: 14=6+AY, subtract 6 from both sides: 8=AY, AY=8cm

ZA=10cm and WY bisects XZ at A, so XA=ZA and XZ  = XA+ZA = 2ZA =2*10 = 20 cm

8 0
3 years ago
Using a graphical method, solve the simultaneous equations x+y =4 and y=2x+1
adoni [48]

Answer:

(1, 3)

Step-by-step explanation:

Given the expression

x+y = 4 ... 1

y = 2x+1 ....2

Substitute equation 2 into 1

x + (2x+1) = 4

3x + 1 = 4

3x = 4-1

x = 3/3

x = 1

Since y = 2x + 1

y = 2(1) + 1

y = 3

Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)

7 0
2 years ago
If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.​
8090 [49]

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

A = wl

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

3 0
3 years ago
How do I find the missing sides in this triangle?
stiv31 [10]

Answer:

This is a 30-60-90 triangle so you would do this formula:

Short side (opposite the 30 degree angle) = x.

Hypotenuse (opposite the 90 degree angle) = 2x.

Long side (opposite the 60 degree angle) = x√3.

Step-by-step explanation:

6 0
3 years ago
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