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Semmy [17]
3 years ago
14

Question 1

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer: x = 22


Explanation:


1) Corresponding sides and correspoding angles of congruent triangles are equal.


2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.


That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:


  • ∠A and ∠D are congruent
  • ∠B and ∠ E are congruent
  • ∠C and ∠F are congruent
  • Segment AB and segment DE are congruent
  • Segment BC and segment EF are congruent
  • Segment AC and segment  DF are congruent

In the figures, it is given that the segment DF measures (1/2)x  - 1 and the corresponding segment AC measures 10 units.


Hence, you set this equation: (1/2)x - 1 = 10


Solving for x:

  • (1/2)x = 10 + 1
  • (1/2)x = 11
  • x = 2(11)
  • x = 22 ← answer
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B-7,22,28

Step-by-step explanation:

The sum of the smaller numbers must be greater than the larger number, if not then the answer is wrong.

6 0
2 years ago
Find the Lowest Common Multiple of 3, 5 and 6.​
skelet666 [1.2K]

Answer:

30

Step-by-step explanation:

6*5= 30

3*10= 30

5*6= 30

5 0
3 years ago
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What is the area of the shaded sector?
Maslowich

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130.90 yd 2 the 4 onebecause you just sudstract 150 frpm 20

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3 years ago
An experiment results in one of three mutually exclusive events, A,B,C. it is known that p(A) =.30, p(b) =.55 and p(c) =.15.
ycow [4]

Answer:

A. 1. P(A∪B)=0.85

2. P(A∩C)=0.045

3. P(A/B)=0.3

4. P(B∪C)=0.70

B. Event B and Event C are dependent

Step-by-step explanation:

A. As events are mutually exclusive, so,

P(A∪B)=P(A)+P(B)

P(A∩B)=P(A)*P(B)

1. P(A∪B)=?

P(A∪B)=P(A)+P(B)=0.3+0.55=0.85

P(A∪B)=0.85

2. P(A∩C)

P(A∩C)=P(A)*P(C)=0.30*0.15=0.045

P(A∩C)=0.045

3. P(A/B)

P(A/B)=P(A∩B)/P(B)

P(A∩B)=P(A)*P(B)=0.30*0.55=0.165

P(A/B)=P(A∩B)/P(B)=0.165/0.55=0.3

P(A/B)=0.3

4.  P(B∪C)

P(B∪C)=P(B)+P(C)=0.55+0.15=0.70

P(B∪C)=0.70

B.

The event B and C are mutually exclusive and events B and event C are dependent i.e. P(B and C)≠P(B)P(C)

The events are mutually exclusive i.e. P(B and C)=0

whereas  P(B)*P(C)=0.55*0.15=0.0825

Mutually exclusive events are independent only if either one of two or both events has zero probability of occurring.

Thus, event B and C are dependent

8 0
3 years ago
6y-2x=20 so y =---/---- +-----/-----
azamat
I hope this helps you



6y-2x=20


2 (3y-x)=2.10


3y-x=10


3y=x+10


y=x+10/3
4 0
3 years ago
Read 2 more answers
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