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Liula [17]
2 years ago
6

Given: mORP = 80°

Mathematics
2 answers:
sineoko [7]2 years ago
7 0
The Correct answer would be A.
vaieri [72.5K]2 years ago
5 0
We know that
A linear pair <span>is a pair of adjacent angles formed when two lines intersect.
</span>The two angles of a linear pair are always supplementary , which means their measures add up to 180°
so
ORP and ORN are a linear pair
mORP+ mORN <span>= 180°
</span>80°+ (3x + 10)°=180°
3x=180°-90°
x=90°/3
x=30°

therefore

the answer is the option 
A. ORP and ORN are a linear pair
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a woman is looking for a bigger square office. she finds an office twice the area of her square office. if the perimeter is 88ft
UNO [17]

Answer:

Option C is the correct answer.

Step-by-step explanation:

Perimeter of current office = 88 ft

We have perimeter = 4a , where a is the side of square.

Equating

4a = 88

a = 22 sqft

Area of current office = a x a = 22 x 22 = 484 square feet.

Area of new office is twice the area of current office.

Area of new office = 2 x 484 = 968 square feet.

Option C is the correct answer.

6 0
2 years ago
Read 2 more answers
a new coffee shop can hold no more than 50 seats the owner wants at least 20 of the seats to be stools and the remaining seats t
Snezhnost [94]

Attached

Step-by-step explanation:

From the question x is the number of stools and y is the number of recliners

Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;

x+y≤ 50

Also, the owner wants at least 20 of the seats to be stools, this can be written as;

x≥20

Using a graph tool to visualize the inequalities, you get the attached graph;

Learn More

Inequalities graph : brainly.com/question/11234618

Keyword : graph, inequalities

#LearnwithBrainly

7 0
2 years ago
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If all people were pea pickers, then how long would it take for the entire population of Earth to pick 1 mol of peas at the rate
Pavlova-9 [17]

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Thats 1 times & 7 billion!

Step-by-step explanation:

8 0
2 years ago
Tony has $20. He wants to buy at least 4
zavuch27 [327]

Tony has $20. He wants to buy at least 4

snacks. Hot dogs (x) are $3 each.

Peanuts (y) are $2 each.​

Answer:

To solve the above question, we use the below inequality equations

x + y ≥ 4 snacks .........Inequality equation 1

3x + 2y ≤ $20 ..........Inequality equation 2

Step-by-step explanation:

We can make use of the inequality equations

Hot dogs = (x) are $3 each.

Peanuts = (y) are $2 each.​

He wants to buy at least 4

x + y ≥ 4 snacks .........Inequality equation 1

3x + 2y ≤ $20 ..........Inequality equation 2

From the above inequality equations, Tony can buy at least 4 snacks but he can only spend $20.

Let take a random number, where x = 4, and y = 4. This means Tony can buy

a) 4($3) + 4($2) = 12 + 8 = $20

The total number of snacks = 4 + 4 = 8 snacks.

b)

This answer above confirms the inequality equations 1 and 2

x + y ≥ 4 snacks .........Inequality equation 1

8 snacks ≥ 4 snacks

3x + 2y ≤ $20 ..........Inequality equation 2

$20 ≤ $20

6 0
2 years ago
A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent. If , then = °.
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Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. The sides AB and BC are congruent when they have equal lengths of the sides. An isosceles triangle two sides are equal in length.


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2 years ago
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