1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Two containers, one for 3 liters and one for 5 liters, how would you measure 4 liters
Mashutka [201]
Fill the 5-liter container, pour water from that into the 3 liter container until that is full,  You will now have 2 liters left in the 5 liter container.

Empty the 3-liter container, and then transfer the 2 liters from the 5-liter container into it.

Now fill the 5-liter container again, then pour water carefully from the 5-liter container into the 3-liter container until it is full - exactly one more liter.

The 5-liter container now has 4 liters in it.
8 0
2 years ago
A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ
andreyandreev [35.5K]
The correct answer is C) t₁ = 375, t_n=5t_{n-1}.

From the general form,
t_n=75(5)^n, we must work backward to find t₁.

The general form is derived from the explicit form, which is
t_n=t_1(r)^{n-1}.  We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

t_n=t_1(5)^{n-1}

Using the products of exponents, we can "split up" the exponent:
t_n=t_1(5)^n(5)^{-1}

We know that 5⁻¹ = 1/5, so this gives us
t_n=t_1(\frac{1}{5})(5)^n
\\
\\=\frac{t_1}{5}(5)^n

Comparing this to our general form, we see that
\frac{t_1}{5}=75

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375

The recursive formula for a geometric sequence is given by
t_n=t_{n-1}(r), while we must state what t₁ is; this gives us

t_1=375; t_n=t_{n-1}(5)

3 0
3 years ago
What is 96\3 as a decimal please help thanks
spayn [35]
3 goes into 96 32 times, so 96/3=32. There is no decimal (unless you insist on including one, then it'd be 32.0) because 3 goes into 96 perfectly.
7 0
3 years ago
Which expressions are equivalent to 1 divided m/6? Check all that apply
jenyasd209 [6]

Answer:

option A, option C, option D

Step-by-step explanation:

a) 1 ÷ m/6

can be written as

\frac{1}{1}÷ \frac{m}{6}

b) sides in (m/6) will change if both has to multiply

c) 1 ÷ m/6

can be written as

1 * 6/m

1(\frac{6}{m}) and wont make change to answer. so matches with the question.

d)

1 ÷ m/6

1 * 6/m

1 * 6 * \frac{1}{m}

6 * \frac{1}{m}

6 ÷ m ..therefore true

e)

1 ÷ m/6

1 * 6/m

6/m    ....does not match or can be converted to the following so wrong

  • Therefore A, C, D are correct and B and E is wrong.
6 0
2 years ago
Can I get some help with 1) plz
erik [133]
Your answer is 12 because 8*4=24 and 3*4=12                                                                                                                                                                                                                 Your answer is 12
6 0
3 years ago
Read 2 more answers
Other questions:
  • A grocery store sells 5 bottles of water for $3 and 15 bottles of water for$8 is the cost of the water proportional to the numbe
    12·1 answer
  • 4-It has been a bad day for the market, with 70% of securities losing value. You are evaluating a portfolio of 20 securities and
    9·1 answer
  • Bob’s last delivery from in oil company was $125.32 a total of 80.5 gallons was delivered what was the price per gallon to the n
    10·2 answers
  • If my friend and i went to get ice cream, I have $30 and each ice cream is $5. What equation would help me solve this? I need an
    10·1 answer
  • What is the factorization of this polynomial? 9x^2-0x-4
    7·1 answer
  • X = <br><br>a.) 82 <br><br>b.) 98 <br><br>c.) 262
    6·1 answer
  • 1. De una encuesta realizada a 120 personas sobre el consumo de albaricoque, banana y coco se obtuvieron el siguiente resultado.
    13·1 answer
  • What is the slope of the line with equation <br>-3+6y=12
    15·2 answers
  • Hosea's doctor has recommended that his daily diet should include 4 vegetables, 3 fruits, and 3 whole grains. At the grocery sto
    14·1 answer
  • Jenny cut an apple into eight equal slices. She gave
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!