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pav-90 [236]
2 years ago
6

Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o​

Mathematics
1 answer:
vlada-n [284]2 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4             (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

2y - x + 29 = 180

2y - x = 180 -29

2y - x = 151             (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

x = -98 - 151

x = -249

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Ganezh [65]

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

6 0
3 years ago
In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,
KATRIN_1 [288]

Answer:

61.5%

Step-by-step explanation:

Let's find all the demographics first:

Sophomores in the class(total 15):

Female: 5

Male : 10

Freshmen in the class(total 11):

Female: 3

Male: 8

There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.

4 0
2 years ago
Suppose you roll one die. Find the probability of rolling an odd number
zepelin [54]
If it's a six sided dice, then it would be 1 out of 3. 

I hope that helped :)
8 0
3 years ago
30 points ! complete the folllowing problems. don't answer if you dont know.
s344n2d4d5 [400]

Answer:

false

Step-by-step explanation:

3×-8=-24

-171+9=-162

so -24 is not equal to-162

3 0
3 years ago
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azamat

Answer:

525 jerseys

Step-by-step explanation:

you multiply the 25$ and $500 ($25 x 20)+($500 x 20) by the number of students, and then add them together. after that, you multiply it by the $20 ($10,500/$20 = 525) for the jerseys to get 525 jerseys

5 0
2 years ago
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