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
SSSSS [86.1K]
3 years ago
12

Find the value of x and y

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

x = 8, y = 27

Step-by-step explanation:

Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other.  The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.

Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.

(2y + 24) + (3y + 21) = 180

That's the same as 2y + 24 + 3y + 21 = 180

Simplify to 5y + 45 = 180

Subtract 45 from both sides

5y = 135

y = 27

(16x - 26) + (9x + 6) = 180

16x - 26 + 9x + 6 = 180

25x - 20 = 180

25x = 200

x = 8

You might be interested in
how many numbers between 650 and 780 leave remainders of 4 and 6 when divided by 7 and 11 respectively? pls help lol im desperat
Tanya [424]

Answer:

18 numbers between 650 and 780 leave remainders of 4 when divided by 7.

12 numbers between 650 and 780 leave remainders of 6 when divided by 11.

Step-by-step explanation:

1. Number 655 is the smallest number that leaves the remainder of 4 when divided by 7. Number 774 is the greatest number that leaves the remainder of 4 when divided by 7. So,

a_1=655\\ \\a_n=774\\ \\d=7\\ \\a_n=a_1+(n-1)d\Rightarrow 774=655+7(n-1)\\ \\7(n-1)=774-655\\ \\7(n-1)=119\\ \\n-1=17\\ \\n=17+1=18

2. Number 655 is the smallest number that leaves the remainder of 6 when divided by 11. Number 776 is the greatest number that leaves the remainder of 6 when divided by 11. So,

a_1=655\\ \\a_n=776\\ \\d=11\\ \\a_n=a_1+(n-1)d\Rightarrow 776=655+11(n-1)\\ \\11(n-1)=776-655\\ \\11(n-1)=121\\ \\n-1=11\\ \\n=11+1=12

7 0
4 years ago
Read 2 more answers
Need help!! What’s the second blank?
tatuchka [14]

Answer:

The answer is 350 sqft

Step-by-step explanation:

terrace 48 sqft

back porch is = 6x6 = 36 sqft

side deck = 3x14 = 42 sqft

playroom = 16x14 = 224 sqft


Total area of the tree house: 48+36+42+224 = 350 sqft



7 0
4 years ago
Read 2 more answers
Diego's doctor has recommended that his daily diet should include 3 vegetables, 2 fruits, and 2 whole grains. At the grocery sto
Hunter-Best [27]

Answer:

166320 ways

Step-by-step explanation:

In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:

Number of ways you can choose 3 vegetables out of 9 available:

nCr = n! / (r! * (n-r)!)

in this case n = 9, r = 3, replacing:

9C3 = 9! / (3! * (9-3)!) = 84

Number of ways you can choose 2 fruits out of 9 available:

9C2 = 9! / (2! * (9-2)!) = 36

Number of ways you can choose 2 whole grains out of 11 available:

11C2 = 11! / (2! * (11-2)!) = 55

So according to the rule of the products how many ways you can choose the daily diet

84*36*55 = 166320

6 0
3 years ago
Point H is the circumcenter of triangle DEF. Which must be true? Check all that apply. Point H is the center of the circle that
Dmitrij [34]
The circumcenter of a triangle is the intersection of the perpendicular bisectors.It is the center of the triangle's circumcircle. And a circumcircle is the circumscribed circle of the triangle. This unique circle passes through each of the triangle's three vertices. According to these definitions the following statement is true:
Point H is the center of the circle that passes through points D, E, and F. 


5 0
3 years ago
A survey of pet owners shows that:
Tpy6a [65]
D have neither a cat nor a dog
8 0
3 years ago
Read 2 more answers
Other questions:
  • Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last
    7·1 answer
  • 4 ten thousands 4 thousands time 10
    13·1 answer
  • Martin is 6 years younger than his sister. The sum of their ages is no more than 22 years.
    15·1 answer
  • Y = a x 3 + b x 2 + c x + d
    6·1 answer
  • A fair coin is tossed six times and the sequence of heads and tails is recorded. What is the probability that the sequence conta
    12·1 answer
  • PLS HELP If g(n) varies inversely with n and g(n) = 6 when n = 2, find the value of n when g(n) = 1.5.
    10·1 answer
  • The probability Bob guesses the winner of a certain baseball game is 4/5. The probability Joe independently guesses the winner o
    6·1 answer
  • The circumference of a circle is 8 TT cm. What is the RADIUS of the circle?
    13·1 answer
  • PLEASE HELP<br> What is the formula to find a square pyramid?
    14·1 answer
  • Write the word sentence as an equation. Then solve the equation.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!