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
Bad White [126]
3 years ago
8

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

1. Angle Addition Postulate/Theorem

2. 90°

3. m<AOC; Vertical Angles

4. 90°; 110°

5. 20°

Step-by-step explanation:

1. m<DOB = m<DOE + m<BOE (Reason: Angle Addition Postulate/Theorem)

2. m<DOB = 90° + x (Reason: Substitution)

Note: m<DOE is a right angle.

3. m<DOB = m<AOC (Reasons: Vertical Angles)

4. 90° + x = 110° (Reasons: Substitution)

5. x = 20° (Reasons: Algebra)

Note how we got 20° by applying algebra:

90° + x = 110°

Subtract 90° from both sides

90° + x - 90° = 110° - 90°

x = 20°

You might be interested in
Need help please!!!! Thank you!!! ❤️❤️❤️❤️❤️❤️❤️❤️
NeTakaya
I would think it's the plane but I'm not positive. The reason I think that is because a plane is a flat surface!
3 0
3 years ago
b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 15 students outside the gym
max2010maxim [7]

Answer:

The complete question is:

At a university, 13% of students smoke.

a) Calculate the expected number of smokers in a random sample of 100 students from this university:

b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 27 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 27 students?

Part a is easy, because is a random sample, we can expect that just 13% of these 100 students to be smokers, and 13% of 100 is 13, so we can expect 13 of those 100 students to be smokers.

b) This time we do not have a random sample, our sample is a sample of 15 students who go to the gym in the early morning, so our sample is biased. (And we do not know if this bias is related to smoking or not, and how that relationship is), so we can't use the same approach that we used in the previous part.

3 0
3 years ago
Found on __, genes determine which __ your cells will make.
Brut [27]

Answer:

Found on ORGANISM, genes determine which PROTEINS your cells will make.

8 0
3 years ago
I need help thank you
Juliette [100K]

Answer:


Step-by-step explanation:

The key and the most critical step is to draw the line first. Don't do anything else before that.

(2,-8) (-2,-8)

What you find out is that the y value is always - 8.

So the line has no slope and any x value

y = 0*x + b

y = - 8 is the equation of the line.

8 0
3 years ago
Read 2 more answers
Determine the unknown integer in each number sentence <br> 8 - ___ = -38
Anuta_ua [19.1K]
The unknown integer is 8 - 46 = -38
6 0
4 years ago
Read 2 more answers
Other questions:
  • Find the slope of a line that is perpendicular to the graph of 2x – 5y = 7.
    6·1 answer
  • A cube has 1000 cubic inches what is the length
    11·1 answer
  • Harry is building a model car. The actual car has a length of 15 feet and tires with a radius of 24 inches. His model car has a
    14·1 answer
  • Which function transforms the graph of y= x^2 so that it is first shifted down 4 units and its then reflected across the y- axis
    12·1 answer
  • Omar buys candy that costs $8 per pound. He will spend at least $40 on candy. What are the possible numbers of pounds he will bu
    14·1 answer
  • A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
    6·1 answer
  • In the triangle below, which is equivalent to sinA?
    13·2 answers
  • What is the slope of the line?<br> What is the y-intercept?<br> Write the equation of the line
    8·2 answers
  • The parametric equations x = square root t, y= 3t - 4 for t in [ 0,4] define a plane curve
    12·1 answer
  • A motorist drove from town P to town Q, a distance of 80 km, in 30 minutes . What is his average speed?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!