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
nika2105 [10]
3 years ago
8

Find the value of each variable in the following parallelograms.​

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

x = 15

y = 7.5

Step-by-step explanation:

✔️Diagonals of a parallelogram bisect each other at 90°.

Therefore,

2x° + 60° + 90° = 180° (sum of triangle)

Solve for x

2x + 150 = 180

2x = 180 - 150

2x = 30

2x/2 = 30/2

x = 15

✔️2x = 4y (alternate angles/corresponding angles)

Plug in the value of x

2(15) = 4y

30 = 4y

30/4 = y

7.5 = y

y = 7.5

You might be interested in
3a-5b:3a+5b=1:4 find the value of a and b
GarryVolchara [31]

Answer:

a = 5/6 , b = -3/10

Step-by-step explanation:

3a-5b:3a+5b=1:4

3a-5b / 3a +5b = 1/4

Cross multiply

3a -5b =4 ..........(1)            solve simultaneously

3a + 5b = 1 ..........(2)    using elimination method

-----------------------

Add equation 1 and 2

6a = 5

Divide both sides by 6

6a/6 = 5/6

a =5/6

Put value of a into equation 2

3a +5b = 1

3(5/6) + 5b = 1

5/2 + 5b = 1

5b = 1 -  5/2

5b = - 1½

5b = - 3/2

Divide both sides by 5

5b/ 5 = -3/2 ÷ 5

b = -3/2 × ¹/5

b = - 3/10

Therefore a = 5/6 , b = -3/10

I hope this was helpful, Please mark as brainliest  

7 0
3 years ago
Which linear inequality is represented by the graph?
larisa [96]

Answer:

y>3x-4

Step-by-step explanation:

8 0
3 years ago
Question 3
puteri [66]

Answer:

18 inches = 1.5 feet

8 inches = 2/3 foot

y = 1.5 + (2/3)x

5 0
2 years ago
Charles charges $25 per lawn to mow lawns. If 25x represents the amount of money he earned last week, what does x represent?
Marta_Voda [28]
C, the number of lawns he mowed
6 0
3 years ago
Answer this question( need less then 5 minutes) 15 = t - 25 t=
sweet [91]

Answer: t=40

Step-by-step explanation:

To work out t on its own you have to do the inverse of takeaway which is add so it is 15+25=40.

7 0
3 years ago
Other questions:
  • If p − 1 is a factor of p4 + p2 + p − k, the value of k is <br> .
    15·1 answer
  • Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region
    12·1 answer
  • HELP ASAP
    6·1 answer
  • Sameer drove to interview for a new job and returned home in one day. How many hours after he left his house is it most likely t
    11·2 answers
  • State the numbers which would round to 50<br><br>48 56 51 43 59 52 45 55​
    6·1 answer
  • What conclusion can be made based on this multiplication problem?
    5·1 answer
  • Solve the system of equations for -2x+2y=4
    6·1 answer
  • PLEASE HELP I WILL BRAINLIST
    11·2 answers
  • Anyone can answer this
    6·1 answer
  • Write this in an equation: 5 less than a number is twice the sum of that number and 9
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!