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max2010maxim [7]
3 years ago
13

Declan draws triangle WXY. He then constructs a perpendicular bisector from vertex W that intersects side XY at point Z. What ca

n Declan conclude, based on his drawing?

Mathematics
2 answers:
koban [17]3 years ago
6 0

Answer:

Option D.

Step-by-step explanation:

Given information: WXY is a triangle.

Steps of construction:

1. Draw a triangle WXY.

2. Constructs a perpendicular bisector from vertex W that intersects side XY at point Z.

If a line cuts a line segment exactly in half by a 90 degree angle, then it is called a perpendicular bisector.

WZ is a perpendicular bisector on XY. It means point Z divides the side XY in two equal parts.

YZ=XZ

Therefore, the correct option is D.

Ganezh [65]3 years ago
5 0

Answer:

YZ = XZ

Step-by-step explanation:

Perpendicular Bisector:

A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.

Given:

1. A triangle WXY.

2. A perpendicular bisector from vertex W that intersects XY at point Z.

Conclusion based on the drawing:

a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.

b. Hence, XZ = YZ.

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Use the drawing tool(s) to form the correct answer on the provided graph.
Dominik [7]

Answer:

  see below. The solution is the doubly-shaded area.

Step-by-step explanation:

Each boundary line will be dashed, because the "or equal to" case is <em>not included</em>. Each shaded area will be above the corresponding boundary line because the comparison symbol is y > .... That is, only y-values greater than (above) those in the boundary line are part of the solution.

Of course, the boundary lines are graphed in the usual way. Each crosses the y-axis at the value of the constant in its equation. Each has a slope (rise/run) that is the value of the x-coefficient in the equation.

3 0
2 years ago
Read 2 more answers
Which of the following is the ratio of boys to girls in tamir's math class?
WARRIOR [948]
The answer for your question is 12/15
4 0
3 years ago
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An apple has a mass of 150g and a volume of 100cm cubed find its density
BartSMP [9]
Divide <span>150:100 to find out what the density in g/cm3 is. So 150:100 = 1.5 g/cm3</span>
8 0
2 years ago
How to simplify 15+6(x+1)
Trava [24]

15 + 6(x + 1)

Factor a 3 out of the expression.

3(5 + 2(x + 1))

Distribute the 2.

3(5 + 2x + 2)

Combine like terms.

3(7 + 2x)


3(7 + 2x) is your answer.

6 0
3 years ago
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Ax +by = 16
Talja [164]

Answer:

  • The system has infinitely many solutions when a = 3/4 and b = 1/2

<h3>Given </h3>

System of linear equations

  • ax +by = 16
  • 3x+2y=64

<h3>To find </h3>

  • Values of a and b that leads to infinitely many solutions

<h3>Solution</h3>

The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.

We can solve it in two different ways

1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.

  • 4ax + 4by = 64
  • 3x + 2y = 64

When compared it gives us:

  • 4a = 3 ⇒ a = 3/4
  • 4b = 2 ⇒ b = 2/4 = 1/2

2. Convert both equations from standard to slope-intercept form and compare:

  • ax + by = 16
  • by = -ax + 16
  • y = - (a/b)x + 16/b

  • 3x + 2y = 64
  • 2y = - 3x + 64
  • y = - (3/2)x + 32

Work out values of a and b:

  • 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
  • - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
3 0
1 year ago
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