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
Oksanka [162]
3 years ago
14

21. In the figure given below, AC is parallel to DE. Find the valuesof xy and z and hence find the 2DBE.

Mathematics
1 answer:
algol133 years ago
8 0

Answer:

X= 50°

Y= 70°

Z= 30°

BDE= 30°

2BDE= 60°

Step-by-step explanation:

(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)

2x -70 = BDE... alternate angles

Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)

X-20 = z ... alternate and opposite angles

(2x -70 )+z+(2x-+20)=180

2x-70 + x-20 +2x +20= 180

5x -70= 180

5x = 250

X= 50°

X-20 = z

50-20= z

30° = z

2x -70 = BDE

2(50) -70 = BDE

100-70 = BDE

30°= BDE

Y + (2x-70)+(50+x-20)

Y + 100-70 +50 +50 -20 = 180

Y + 200-90=180

Y= 70°

2BDE = 2*30

2BDE= 60°

You might be interested in
Can you guys help me
Akimi4 [234]

Answer:

Step-by-step explanation:

4

7 0
3 years ago
The area of a triangular plot with a base of 5 yards and a height of 8 yards is 20 square yards. What is the area of the triangu
pshichka [43]

Answer:

i think 60

Step-by-step explanation:

because the area in square yards is 20 and there are 3 ft in a yard so you would multiply 20 by 3 and you get 60

6 0
3 years ago
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
77julia77 [94]

Answer:

Average rate of change = 3

Step-by-step explanation:

  • We know that the average rate of change is basically a measure of the slope of the  secant line  in the closed interval [a, b].

here   a = -3 and b = 4

  • f(b) = f(4) = 27
  • f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

6 0
2 years ago
Six times a number increased by 5
sergey [27]
I'm not quite sure what you asking here but if your asking how to answer it in "math terms" than I'll be happy to explain :)

So "times" means multiply and "increase" means add so righting this in math terms would be 
6x + 5 
because it's six times "a number" which you can replace with x!

Let me know if you have any questions :3 
7 0
3 years ago
Read 2 more answers
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios? A graph is drawn. The title i
Galina-37 [17]

Answer:

idek

Step-by-step explanation:

fr

5 0
2 years ago
Read 2 more answers
Other questions:
  • I should know this, but i'm really stumped, I keep getting different answers.
    10·1 answer
  • Combine like term <br><br> 2a - 6 + 6 =
    14·2 answers
  • Wizer.me Simplify the following problem: (30 – 3) = 3​
    14·1 answer
  • Answer the following. a) Find h b) Find x
    5·1 answer
  • The student council started with 50 cans of food for the food drive and then
    15·1 answer
  • Sarah was thinking of a number. Sarah doubles it and gets an answer of 4.5. What was the original number?
    9·2 answers
  • What is 125 in its simplest form radical expression<img src="https://tex.z-dn.net/?f=125" id="TexFormula1" title="125" alt="125"
    8·1 answer
  • Me ayudancon esto?plisssss​
    9·1 answer
  • What is the equation of the line that passes through the point ( − 4 , 8 )and has a slope of − 1/4
    8·1 answer
  • Which expression is equivalent to 3-5 x 34?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!