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
Slav-nsk [51]
3 years ago
11

In the following diagram \overline{DE} \parallel \overline{FG}

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

You might be interested in
An important problem encountered by personnel directors and others faced with the selection of the best in a finite set of eleme
SVETLANKA909090 [29]

Answer:

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

10 engineers selected from a set of 20.

5 best, from a set of 5.

Other 5, from a set of 20-5 = 15.

D = C_{5,5}*C_{15,5} = \frac{5!}{5!(5-5)!}*\frac{15!}{5!(15-5)!} = 3003

Totao outcomes:

10 engineers selected from a set of 20.

T = C_{20,10} = \frac{20!}{10!(20-10)!} = 184756

Probability:

p = \frac{D}{T} = \frac{3003}{184756} = 0.0163

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20

5 0
3 years ago
Find the area of the parallelogram.
erastovalidia [21]

Answer:

A = 735 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 35 and h = 21 , then

A = 35 × 21 = 735 cm²

8 0
2 years ago
Read 2 more answers
Alaina is selling wreaths and poinsettias for her chorus fundraiser wreaths cost $27 each poinsettias cost $20 each if she sold
Olegator [25]

she sold 9 wreaths that day

3 0
2 years ago
Please help me, Love you
Anton [14]

Answer:

It would be 750

Step-by-step explanation: You have to divide it by 5 and then times it by 3.

8 0
2 years ago
Read 2 more answers
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
aliya0001 [1]
C :) brainiest? This is correct because I did the math lol
4 0
3 years ago
Other questions:
  • Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (
    5·2 answers
  • you are dividing 3972 by 41 explain why the first digit in the quotient should be placed over the tens place of the dividend
    9·2 answers
  • You want to know the temperature today. your friend tells you that it is 6 degrees colder than it was on monday. on monday it wa
    13·2 answers
  • Solve the following equation: x2-5=7
    7·1 answer
  • According to this diagram, what is tan 74
    13·2 answers
  • A bottle of hydrochlorothiazine contains 80 tablets. If each tablet contains 10 milligrams of the active ingredient, how many gr
    12·2 answers
  • Venn diagram of b union b​
    9·1 answer
  • If f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
    10·1 answer
  • Roberto has a certain number of songs on his MP3 player. Each week, he plans to add 4 more songs. After 5 weeks, he had 40 songs
    9·1 answer
  • Which word expression represents the algebraic expression shown?<br><br> 12 – 3x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!