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
Nikitich [7]
2 years ago
14

Please help me! Look at this diagram.

Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0

Answer:

if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree

Step-by-step explanation:

for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree

Gnom [1K]2 years ago
5 0

Answer:

x=13\text{ and } y=5

Step-by-step explanation:

First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:

m\angle BCD + m\angle DCE = 180

And since we know that ∠BCD measures 130°:

m\angle DCE  = 180-130=50^\circ

And since ∠DCE and ∠BCA are vertical angles:

\displaystyle \angle DCE \cong  \angle BCA

Therefore, by definition:

m\angle DCE = m\angle BCA = 50^\circ

Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:

m\angle A = m\angle B

The interior angles of a triangle must total 180°. So:

m\angle A + m\angle B +m\angle BCA = 180

Substitute in known values:

m\angle A + m\angle A+ (50)=180

Simplify:

2m\angle A=130

Divide both sides by two:

m\angle A = 65

Substitute:

(5x)=65

Therefore:

x=13

Similarly, for the triangle on the right, we can write that:

m\angle D + m\angle E + m\angle DCE = 180

Substitute:

(10y+5)+(6x-3)+(50)=180

Combine like terms:

10y+6x+52=180

Since we determined that <em>x</em> = 13:

10y+6(13)+52=180

Simplify:

10y+130=180

Therefore:

10y=50

And by dividing both sides by 10:

y=5

You might be interested in
Simplify the following: (9x - 7) - (5x + 10)
lianna [129]
(9x - 7) - (5x + 10 )
2x - 15x
- 13x
7 0
3 years ago
Help please... and thank you :)​
Leviafan [203]

Answer:

The answer is 1

Step-by-step explanation:

Any number to the power of 0 is 1

6 0
3 years ago
Read 2 more answers
Does anyone like anime? this is a semi important question lol​
ira [324]

Answer:

depends on the genre.... so sometimes.... Have a good day

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You and your friend decide to sell cookies to raise money for a local fundraiser. After d days, you have raised (6d+7)dollars an
Alisiya [41]
The expression would add 6d+7 and 10d+10.

So…

6d+7+10d+10


We add like terms which would be (7 and 10) and (6d and 10d)


7+10 is 17

6d+10d is 16d


So the answer would be
16d +17
6 0
2 years ago
Robert is collecting books to donate to the library.
Sloan [31]

The answer is c because it makes sense that it would be months.

7 0
3 years ago
Other questions:
  • Expand and simplify (1-5x)(1+5x)
    14·2 answers
  • What is the y-intercept of a line with the equation (y - 3) = 5(x + 2)?
    14·1 answer
  • What is 26% as a fraction in simplest form?
    5·2 answers
  • Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?
    13·2 answers
  • Please answer quickly, simple geometry
    7·1 answer
  • Stacey went to six different auto repair shops to get the following estimates to repair her car.
    6·1 answer
  • Log (rootx+1 + root x-1)
    5·1 answer
  • Diana has $2.00 in dimes and nickels. She has a total of 26 coins. How many of each kind does she have?
    7·1 answer
  • Please help NEED NOW<br><br> thank youuu
    15·2 answers
  • What does 1/4 of a can of coffee cost if 4 cans of coffee cost $2. 40?.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!