Two consecutive angles of a parallelogram are (x + 60)° and (2x + 30)°. What special name can you give to this parallelogram ?

Answers

Answer 1

Answer:

Square

Step-by-step explanation:

Given

[tex]\angle 1 = x + 60[/tex]

[tex]\angle 2 = 2x + 30[/tex]

1 and 2 are consecutive

Required

Determine a special name to the parallelogram

For consecutive angles 1 and 2 of a parallelogram, we have:

[tex]\angle 1 + \angle 2 = 180[/tex]

[tex]x + 60 + 2x + 30 = 180[/tex]

[tex]3x +90 = 180[/tex]

Collect like terms

[tex]3x = 180 - 90[/tex]

[tex]3x = 90[/tex]

[tex]x = 30[/tex]

Next, is to calculate angles 1 and 2

[tex]\angle 1 = x + 60[/tex]

[tex]\angle = 30 + 60 = 90[/tex]

[tex]\angle 2 = 2x + 30[/tex]

[tex]\angle 2= 2*30 + 30 = 90[/tex]

Both angles are 90.

This implies that each angle in the parallelogram is 90.

Such a parallelogram is either a rectangle or a square


Related Questions

Mrs.Diya and her mother-in-law are both school teachers and earn Rs.16,800 and Rs. 10,500 per month respectively. Ratio of distance to the school from their home, to the distance to the school from their colleague John’s home is 2 : 1.


1) If the distance to John’s home from the school is 12 km, what is the distance from school to Mrs. Deewan’s home?

2)If John’s earning twice the income of that of the mother in law, what is the ratio of their wages?

3)Who lives nearer to the school?

i need the correct answer and a proper answer with WORKING or else i will report

Answers

Answer:

1. the distance from the school to Mrs Deewan's home = 24km

2. John's wage to the mother-in-law's wage = 2:1

    Mother-in-law's wage to John's = 1:2

3. John lives nearer the school

Step-by-step explanation:

1. The ratio of the distance between Mrs Diya's (Deewan's) home and John's home to school = 2:1.

This means that the distance of Mrs Diya's home is twice that of John's home to school. Therefore if John's home from school is 12km;

Mrs Diya's home = 12 × 2 = 24km

2. If john earns twice the income of the mother-in-law, the ratio of the wages is as follows:

John's wage to the mother-in-law's wage = 2:1

Mother-in-law's wage to John's = 1:2

3. John lives nearer the school. From the calculation we've done in 1 above, you can see that the distance between John's home and the school = 12km, while the distance between Mrs Diya's home and the school is 24km, therefore, John lives nearer the school.

In a cafeteria, 1 10 of the students are eating salads , and 2 5 are eating sandwiches. There are 20 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?

Answers

Answer:Number of students eating lunches other than salads or sandwiches= 10

Step-by-step explanation:

Number of students in the cafeteria=20

Number of students eating salads=1/10 X 20= 2

Number of students eating sandwiches= 2/5 x 20 = 8

Number of students eating lunches other than salads or sandwiches=

Number of students in the cafeteria -(

Number of students eating salads +Number of students eating sandwiches)

=20-(2+8)

=20-10

=10 students.

Rita wants to know if seventh-grade students prefer to do their social studies homework in silence or with background music. She polled the 30 students in her music class. Ten students preferred to do their social studies homework in silence, and twenty students preferred to do their social studies homework with background music.

Answers

Answer:

They prefer to do their homework with music

Step-by-step explanation:

Because there is more students who want music

A large concrete block is used for the cornerstone of a building. The block is 132 in deep, 120 in wide, and 156 in long. What volume of concrete is needed to make this block?

Answers

Answer:1430 ft^3

Step-by-step explanation: you have to divide by 36

HELP PLEASE WORTH 30 POINTS

Answers

The answer is D a quotient is the answer of a division problem.

D.) (5 + 2) divided by (2 + 3)

The question can also be written like this.

7 divided by 5

In the end the finished quotient comes out as a divided number whereas you had to do what was in the parentheses first (PEMDAS)

Parentheses

Exponents

Multiplication

Division

Addition

Subtracting.

-R3TR0 Z3R0

A large box weigh 680 grams. A smaller box weighs 0.75 times the larger box. How much does the smaller box weigh?

Answers

Answer:The smaller box weighs 510grams.

Step-by-step explanation:

Weight of large box = 680 grams

Weight of smaller box = 0.75 times ls larger box

Therefore Weight of Smaller box = 680 X 0.75

=510grams

Pls help me with this problem

Answers

4.1×10⁵ = 410000

just the power is the number of zeros and we make it 4 zeros because we shift the point

A church is packing Thanksgiving baskets. Each basket weighs 30 pounds. Here are two situations. For each situation, write an equation to represent the situation. If you get stuck, consider drawing a diagram. Each basket contains 3 identical bags of stuffing and a 6-pound bag of rice. Each basket contains 3 boxes. Each box contains a 6-pound bag of rice and a bag of stuffing. The bags of stuffing are all identical.

Answers

Answer:

3x + 6 = 30

Step-by-step explanation:

ANSWR NOW PLZ I WILL GIVE BRAIN THINGY!

Write and simplify an expression for the exact area of the circular object and Find the area of the circular object, using 3.14 for π (7cm diameter)

(and a pic just in case)

Answers

Answer:

round to the nearest 100

Step-by-step explanation:

Round they want you to round

help ASAP please! ill mark brainliest if correct

Answers

Answer:

B

Step-by-step explanation:

I think it’s b not sure

What type of graph would have the title, "Favorite TV Show"?

bar graph
line graph
line plot
stem-and-leaf plot

Answers

Answer:

line graph

Step-by-step explanation:

line graph

Answer:

bar graph

Step-by-step explanation:

thats what i'm guessing because a bar graphs compares categories

bongani is driving at a speed of 63 km/h. how far will he travels ( 4,5hours )​

Answers

Answer:

283.5km

Step-by-step explanation:

Given data

Speed= 63km/h

Time= 4.5hours

We know that speed= Distance/time

Make distance subject of the formula

DIstance= speed*time

Distance= 63*4.5

Distance= 283.5km

Hence the distance is 283.5km

Evaluate 20+3n when n equals 10

Answers

Answer:

50

Step-by-step explanation:

20 + 3n = ?

Substitute the variable for what it equals (n = 10)

20 + 3(10) = ?

Use PEMDAS to answer.

20 + 30 = ?

50 = ?

The answer is 50.

Can you please help me please:(

Answers

Answer:

I think that the answer would be 12.

Step-by-step explanation:

1/2 gallon = 24 brownies

I do not know if that is right but I think it is.

sorry if its not

helpppppppppppp WILL MARK BRAINLIST

Answers

Answer: 3

Step-by-step explanation:

At x = -2, y = 3

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
24 min : 56 min

Answers

Answer:

6/13

the simplest form of

24 / 56 is

6/13

hope it helps

An event that is made up of two or more outcomes is called_______

Answers

Answer:

Compound Events

Step-by-step explanation:

Write an equation for the situation.

Answers

Answer: B

Step-by-step explanation:

Hope this helps

Find the missing measurement using the pathagreham theorem. Show steps​

Answers

a^2+b^2=c^2

a=15

b=25

15^2=225

25^2=625

225+b^2=625

b^2=400

b=20

Step-by-step explanation:

you can use right angle triangle to do the calculation

After 10% tax, the phone cost $220. What was the original price?​

Answers

Answer:

$198

Step-by-step explanation:

To find how much the tax was, we multiply 10% by 220. We do this in decimal form, so we write it as 0.1*220. 0.1*220 is 22. Although, we don't stop there. Now that we know how much tax is, we must subtract the tax from the price with tax to find the OG price. 220-22 is 198. That means our answer is $198. Hope this helps!

The great pyramid in Egypt has a square base with a side length of 250 ft. It’s height is twice the size of the length of a side of its base. What is the Volume of the great pyramid?

Answers

Answer:

Step-by-step explanation:

base b = 250 ft

height h = 2b = 500 ft

volume V = (⅓)b²h

= (⅓)250²·500

≅ (10,416,666⅔) ft³

Colleen earns $5 for each hour of yard work. Write an equation that shows the relationship between the time spent x and the amount earned y.

Write your answer as an equation with y first, followed by an equals sign

Answers

Answer:

Easy

Step-by-step explanation:

Y=5x

I hope this helps

In ΔQRS, the measure of ∠S=90°, SQ = 9.7 feet, and RS = 1.3 feet. Find the measure of ∠R to the nearest degree. (please answer asap)

Answers

Answer:

82

Step-by-step explanation:

 

a new youth sports center is being built, the perimeter of the rectangle playing field is 302 yards. the length of the field is 2 yards less than double the width. what are the dimensions of the playing field?

Answers

Answer:

can we do zoo mmmmmmm...

i’ll mark as brainliest if correct

Answers

Answer:

iready is the worst sorry bro

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{220 + 221} [/tex]

Answers

Answer:

the answer will be 21 I hope this help you

Answer:

√{220 + 221}=√441=±21 is your answer

Choose the best selection for the following figure:
D
2.
A
-3-2-10
-7
-5
---
С
1 2 3 4 5 6 7
B
A. Rectangle
B. Rhombus
C. Parallelogram
D. Square

Answers

Answer:

C. Parallelogram

Step-by-step explanation:

I hope that is useful for you :)

Find the volume of the cone
( Points)
12 yd
8 yd
V=408.4 yd
V= 408.1 yd
V=8042 yd
Va 804.1 yd

Answers

Step-by-step explanation:

step 1. the volume of a cone (V) is (1/3)(pi)r^2h

step 2. V = (1/3)(pi)8^2(12)

step 3. V = (1/3)(pi)(768)

step 4. V = 256pi

step 5. V = 804.2 yd^3

Solve the whole problem i give brainliest please help me.

Answers

Answer:

The inequality will be $75x + $25 ≤ $340

and the amount of days that she can afford the vehicle is 4.2

Step-by-step explanation:

if you subtract 25 from both sides, you'll get

75x ≤ 315

and when you divide both sides by 75, you'll get 4.2, or 4 days

PLEASE HELP ASAP WILL GIVE BRAINLY

Answers

1st = (-4,5)

2nd = (-2,3)

3rd = (0,1)

4th = (2,-1)

5th = (4,-3)

1 = (-4,5)
2= (-2,3)
3= (0,1)
4= (2,-1)
5= (4,-3)
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