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
Wittaler [7]
3 years ago
12

Given that ABCD is an isosceles trapezoid, find x and y.

Mathematics
2 answers:
lara [203]3 years ago
5 0
Answer:
x = 15
y = 40

Explanation:
1- getting the value of x:
We are given that the two sides (x-4) and (11) are equal. This means that:
x - 4 = 11
x = 11 + 4 
x = 15
2- getting the value of y:
For any polygon, the sum of measures of its angles is equal to (n-2)*180 where n is the number of sides.
The given is a trapezoid, therefore, it has n - 4
sum of its interior angles = (4-2)*180 = 360
We are given that each two opposite angles are equal.
Therefore:
360 = 2 (4y - 20) + 2y
360/2 = 4y - 20 + y
180 = 5y - 28
200 = 5y
y = 200/5
y = 40

Hope this helps :)
Cerrena [4.2K]3 years ago
5 0
X = 15

Y= 34

11 + 4 = 15

360 = 2(4y-20) + 2y
360 = 10y -20
340 = 10y
34 = y
You might be interested in
Use prime factors to find hcf of 18 12 56​
givi [52]

Answer:

it is 2 bcz if we see that in the 12 , 18 and 56 the two is the highest common factor

8 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (8,9) and (1, 3).
Finger [1]

Answer:

m=6/7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the tria
adoni [48]
X-25 < 100

x minus the $25 discount has to be less than 100
7 0
3 years ago
Read 2 more answers
Triple a number decreased by 14
Ira Lisetskai [31]

Since we know 14, but we don't know the other number, we use a variable. To do that, we look at the problem, then we figure out the unknown. The unknown is: A number. We know 14. Since "Triple" means 3, we can put the exponent 3 by X.

Therefore, the answer is X^3-14.

3 0
3 years ago
A dog that weighs 14 pounds should eat 1 5/8 cups of a certain type of dog food per day. How much of the same type of dog food s
stira [4]
1 5/8 = 13/8
(13/8)/14 = .116 or 13/112
.116 (26) = 3.016 or 169/56
6 0
3 years ago
Read 2 more answers
Other questions:
  • I give thank and 5 stars :D
    11·1 answer
  • Erica has 7 square feet of garden space to plant carrots,beans,peppers,and lettuce.If she gives each vegetable an equak amount o
    15·1 answer
  • Use truth tables to show that the following statements are logically equivalent. ∼ P ⇔ Q = (P ⇒∼ Q)∧(∼ Q ⇒ P)
    12·1 answer
  • 64x + 16 what does the x stand for
    5·2 answers
  • A card game is on sale for 10 percent off if the sale price is $18 what is the regular price of the card game
    14·2 answers
  • Mike bought 7 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 4
    5·1 answer
  • What is the probability that Sophie draws a heart and then rolls either a 4 or 6
    15·1 answer
  • Natasha goes on a trip on her motorcycle and rides for 510 miles. If she rides for 6 hours at a speed of 65 miles per hour, then
    8·1 answer
  • A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.
    14·2 answers
  • Z to the power of what equals 9?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!