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
vovikov84 [41]
3 years ago
8

Triangle XYZ is equilateral with vertices located on circle W. Circle W is shown. Line segments W Y, W Z, and W X are radii. Lin

es are drawn to connect the points on the circle to form a triangle. Sides Z X, X Y, and Z Y are congruent. Which measurements are correct? Select two options. mArc X Y = 60° mArc Y Z = 120° mArc Z X = 180° m∠XWZ = 60° m∠YWZ = 120°

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

Answer:

The answers are B & E

Step-by-step explanation:

Elis [28]3 years ago
4 0

Answer:

arc\ YZ=120^o

m\angle YWZ=120^o

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is 60 degrees)

m\angle XYZ=m\angle YZX=m\angle ZXY=60^o

Remember that

The <u><em>inscribed angle</em></u> is half that of the arc it comprises

so

arc\ XY=arc\ YZ=arc\ ZX=2(60^o)=120^o

Remember that

<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it

so

m\angle YWZ=arc\ YZ=120^o ----> by central angle

You might be interested in
The diameter of a truck tire is 22inches Approximately how fat will the truck have traveled after 5 rotations of these tires
kvasek [131]

Answer:

The truck have travelled 345.5 inches after 5 rotations of the tires

Step-by-step explanation:

Given:

Diameter of the tyre= 22 inches

Number of rotations= 5

To find:

Distance travelled after 5 rotations=?

Solution:

We have given with diameter,

So let radius be r

r= \frac{diameter}{2}

r=\frac{22}{2}

r=11 inches

The distance covered by one rotation is given by circumference

Circumference =2\pi r

Substituting the values, we get

Circumference =2\times\pi\times r

Circumference =2\times\pi\times 11

Circumference =2\times\3.14\times 11

Circumference =6.28\times 11

Circumference = 69.11

Now for 5 rotation,

Distance travelled = 5\times(\text{circumference value})

Distance travelled = 5\times(69.11)

Distance travelled = 5\times(69.11)

The truck will travel 345.5 inches.

6 0
3 years ago
Which lines are perpendicular to the line y – 1 = One-third(x+2)? Check all that apply.
Flauer [41]

Answer:

Y -1

Step-by-step explanation:

6 0
3 years ago
Find the area of the shape below mathswatch
Arte-miy333 [17]

There is no shape below.

5 0
3 years ago
You are riding along a straight river from east to the west at speed of 160m/m. At a given time, you will see the bearing of a c
yuradex [85]

Using the given information, the width of the river is 505.96 m

<h3>Bearing and Distances</h3>

From the question, we are to determine the width of the river

Consider the given diagram,

Let F be the first position of the biker

S be the second position

and C be the position of the church

First, we will determine the distance covered from F to S

Speed = 160m/min

Time = 4 minutes

Using the formula,

Distance = Speed × Time

Distance covered = 160 × 4

Distance covered = 640 m

That is, /FS/ = 640 m

Now, consider ΔFSC

∠F = 90° - 70° = 20°

∠S = 90° + 56° = 146°

and ∠C = 180° - 20° - 146° = 14°

By the Law of Sines

\frac{/FC/}{sin\ S}= \frac{/FS/}{sin\ C}

∴ \frac{/FC/}{sin\ 146^\circ}= \frac{640}{sin\ 14^\circ}

/FC/ =\frac{640 \times sin \ 146^\circ}{sin \ 14^\circ}

/FC/ = 1479.33 m

Now,

By SOH CAH TOA

cos \ 70^\circ = \frac{d}{/FC/}

NOTE: d is the width of the river

∴ d = /FC/ × cos70°

d = 1479.33 × cos70°

d = 505.96 m

Hence, the width of the river is 505.96 m

Learn more on Bearing and distances here: brainly.com/question/19351991

#SPJ1

7 0
2 years ago
Find the slope of the line that contains the points<br> (11, 8) and (17, 26)
amm1812

Answer:

3

Step-by-step explanation:

We can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let's let (11,8) be x₁ and y₁ and let's let (17,26) be x₂ and y₂. So:

m=\frac{26-8}{17-11}

Subtract:

m=18/6=3

So, our slope is 3.

And we're done!

5 0
3 years ago
Read 2 more answers
Other questions:
  • What's 3 15/44 as a fraction
    10·2 answers
  • Effective rate (APY) is: Never related to compound table Interest for one year divided by annual rate Interest for one year divi
    11·1 answer
  • Could some help thank you
    12·1 answer
  • 1.1. a quadritic pattern has a second term equal to 1, a third term equal to -6 and the fifth term equal to 14 1.1.1 calculate t
    15·1 answer
  • The diameter of a red blood cell is 6 x 10^-6 how many red blood cells are needed to make a line 1 in. long
    12·1 answer
  • Please I really need help
    15·1 answer
  • What is the value of b? <br> -1 = b +(-11)
    11·2 answers
  • Donna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz.
    9·1 answer
  • Help.What is the value of (2x)^2?
    13·1 answer
  • A área de um retângulo é igual a 44, sabendo que as suas medidas são iguais a 4 e (3x+2), calcule a medida do lado maior deste r
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!