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
tankabanditka [31]
2 years ago
10

K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find t

he value of z.

Mathematics
1 answer:
Paraphin [41]2 years ago
6 0

Using the circle theorems, the value of z is 45

<h3>Circle Geometry </h3>

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (<em>Angle in a semicircle</em>)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (<em>Base angles of an isosceles triangle</em>)

Then,

∠KML + ∠MKL + ∠KLM = 180° (<em>Sum of angles in a triangle</em>)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (<em>Angles in alternate segment</em>)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

Learn more on Circle Geometry here: brainly.com/question/17074363

#SPJ1

You might be interested in
Answer plz fast plz I need help
Marrrta [24]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
1. Is triangle P’Q’R larger or smaller than triangle PQR? Explain how you know
Salsk061 [2.6K]

Answer:

The length of the line is PQ as this line is parallel to the x - axis. So, the length of the line is the summation of 10 from second quadrant and 20 from first quadrant. So, the sum is 30. Hence the length of the line is 30 units.

Step-by-step explanation:

The length of a line segment can be measured by measuring the distance between its two endpoints. It is the path between the two points with a definite length that can be measured. Explanation: On a graph, the length of a line segment can be found by using the distance formula between its endpoints.

7 0
2 years ago
Please help me answer this question!!!
-Dominant- [34]

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

3 0
2 years ago
Vhich is a solution to the equation?<br> (x-2)(x + 5) = 18<br> x= -10<br> x==7<br> x=-4<br> x= -2
uranmaximum [27]

Answer:

see attachment (this needs to be at least 20 characters long)

4 0
2 years ago
A company sells fruit cups in packs of 4. The packs currently weigh 20 oz. The company plans to reduce the weight of each cup by
skad [1K]

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task:  Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

6 0
2 years ago
Other questions:
  • Simplify (x^2+5x+1)(x^2+x+3)
    14·1 answer
  • I already filled in the table but I’m not sure what to put as the answer
    8·1 answer
  • A chess player won 35 of the games he played.  If his ratio of wins to loses was 5:6, how many games did he play total?
    12·1 answer
  • Which graph represents the solution to the given system?
    13·1 answer
  • How to solve 3 and 1/2 + 5 and 1/2
    15·1 answer
  • 25^x = 1 find the value of x
    6·1 answer
  • Ao se olhar para a história da Álgebra, desde os primórdios quando o objeto de estudo eram equações algébricas específicas até o
    9·1 answer
  • You have a new tv that is marked as a 56”. if the aspect ratio is 16:9 what is the height and width
    10·1 answer
  • I need help on this question I don’t understand
    14·1 answer
  • H2 Worksheet #8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!