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
tino4ka555 [31]
3 years ago
8

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right

angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10.
What is the value of x?

a. 2 units
b. 3 units
c. 5 units
d. 8 units
Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

C. - X = 5 units

Step-by-step explanation:

We need to solve for x from the given figure.

In ΔADB and ΔCDB

 ∠ABD=∠BCD         (Corresponding angle of two right triangle)

 ∠ADB=∠CDB         (Each 90°)

∴  ΔADB ≈ ΔCDB  By AA similarity

If two triangles are similar then ratio of their corresponding height are same.

Substitute the value of side into the expression

Cross multiply and solve for x

x can't be negative because side of triangle is positive.

Hence, The value of x is 5 units.

You might be interested in
What is x in 4x+4=5x+45
fiasKO [112]

Answer:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

x = − 41

7 0
3 years ago
Read 2 more answers
Round 0.311 to the nearest tenth
vodomira [7]
0.3 because it’s less than 5
5 0
3 years ago
Read 2 more answers
Help!!
eduard

Answer:

3.5m

Step-by-step explanation:

Multiply both values by 7 to find that 7in=3.5m

4 0
3 years ago
Para reunir dinero para su gira de estudios , los alumnos de un curso deciden vender números de una rifa que se encuentran numer
QveST [7]

Respuesta:

0.53

Explicación:

Para calcular la posibilidad del evento A: "ganar la rifa comprando todos los números múltiplos de 3 o 5", debemos usar la siguiente fórmula.

P(A) = casos favorables / casos posibles

Evaluemos primero todos los casos que son múltiplos de 3, entre 1 y 100: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99. En total son 33.

Ahora, evaluemos todos los casos que son múltiplos de 3, entre 1 y 100: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. En total son 20.

El número total de casos favorables es 33 + 20 = 53.

El número de casos posibles es el total de números de 1 a 100, es decir 100.

Luego P(A) = 53/100 = 0.53.

7 0
2 years ago
Which of the following is an equation of a horizontal line? A.3x+6y=0 B.2x+7=0 C.-3y=29 D.x-2y=4
yanalaym [24]
C is the answer because there is no variable for X which without it would make a horizontal line.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. explain
    5·1 answer
  • How many ways can you make 6
    10·1 answer
  • How do i earn more points
    7·2 answers
  • -6·f(-3)-5·g(-7)= please help
    12·1 answer
  • Label the place value 12,354,897
    13·2 answers
  • Derive the positive square root of 982081
    11·1 answer
  • Solve the inequality: -8(8x – 16) < 64(2 – 2).
    7·1 answer
  • Do these pairs of values (x and y) represent two quantities that are
    7·1 answer
  • QUESTION 20
    12·1 answer
  • Could someone please help answer this, thank you, will give brainliest, plz no spam (home work help) thanks!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!