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
HACTEHA [7]
3 years ago
7

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

You might be interested in
Solve for the roots in the following equation. hint: factor both quadratic expressions. (x 4 5x 2 - 36)(2x 2 9x - 5) = 0
OleMash [197]
Hello :
 <span>(x 4 +5x²  - 36)(2x ²+ 9x - 5) = 0</span>

7 0
3 years ago
Read 2 more answers
Identify all the intercepts for the following function
Triss [41]
Where are the intercepts
8 0
3 years ago
Find the Ratio of 250m to 1.5km
mestny [16]

Answer:

Step-by-step explanation:

1 km= 1000m

1.5 km = 1 x 1000 + 500

1000 + 500

1500m

1500 m : 250 m

750 m : 125 m

150 m : 25 m

30 m : 5 m

6 m : 1m

0.0

7 0
3 years ago
Read 2 more answers
The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be div
Gelneren [198K]

Answer:

8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

6 0
3 years ago
laptop screen sizes are determines by the diagonal measurement rounded to the nearest whole number a laptop screen has a 9 in wi
Delvig [45]
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
a² + b² = c²

------------------------------------------------------------------------------------------
Find Diagonal
------------------------------------------------------------------------------------------
9² + 7² = c²
c² = 81 + 49
c² = 130
c = 11 in (Nearest whole number)

------------------------------------------------------------------------------------------
Answer: The diagonal measure 11 inches
------------------------------------------------------------------------------------------
6 0
3 years ago
Other questions:
  • 1,258 rounded to rhe nearest thousand is
    14·2 answers
  • Joslyn has decided to purchase a $19,500 car and would like to finance it for
    6·2 answers
  • Find the missing pattern 12,24,72,288
    6·1 answer
  • Factor each trinomial n^2+9n+20
    10·2 answers
  • If it takes 5 minutes for 5 machines to make 5 objects, then how long would it take for 100 machines to make 100 objects?
    15·1 answer
  • What’s the simplest from of 21:28
    13·2 answers
  • Please help! How much is 840 miles in 3 &amp; 1/2 hours?
    15·1 answer
  • A train travels 220 km in 4 hours. How far will it travel in 9 hours?
    11·1 answer
  • 7. Susan has $21, and she has three times as much money as Diego. Write an equation for this
    14·2 answers
  • 8. Instructions: Find the missing side of the triangle.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!