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Lunna [17]
2 years ago
5

A piece of property lies between two parallel streets as shown. m<1=(2x+6)°,and m<2=(3x+9)°. What is the relationship betw

een the angles? What are their measures?
Mathematics
1 answer:
kolezko [41]2 years ago
5 0
  • The angles are supplementary angles
  • The measure of angle m<1 and m<2 are 72 and 108 degrees respectively

Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary

Given the following angles

m<1 = 2x + 6

m<2 = 3x + 9

Since both angles are supplementary, hence;

2x + 6 + 3x + 9 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Get the measure of m<1;

m<1 = 2x + 6

m<1 = 2(33) + 6

m<1 = 66 + 6

m<1 = 72degrees

Get the measure of m<2:

m<2 = 180 - m<1

m<2 = 180 - 72

m<2 = 108degrees

Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively

Learn more here: brainly.com/question/22309882

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How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t
Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

2 players are taken from a set of 25, hence the number of ways is given by:

P_{(25,2)} = \frac{25!}{23!} = 600.

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

4 0
1 year ago
A food pantry distributes 10-ounce bags of flour. A supermarket donates nine 5-pound bags to the pantry. How many 10-ounce bags
DanielleElmas [232]
Given:
nine 5 pound bags 
distributed into 10-ounce bags

1 pound = 16 ounces

9 x 5 pounds = 45 pounds

45 pounds * 16 ounces/lbs = 45 * 16 oz = 720 ounces

720 ounces / 10 ounce bags = 720/10 = 72 bags.

The workers at the food pantry will be able to make 72 bags.
3 0
3 years ago
state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​
oee [108]

Answer:

True

Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

D = 6^2-4(-1)(10)

D = 36-40

D = -4

Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis

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3 years ago
Order the sides of each triangle from shortest to longest.
Svetradugi [14.3K]

Answer:

A.

Step-by-step explanation:

the line that's PR is longer than OR

7 0
3 years ago
Is 66,369,027 divisible by 4?
larisa86 [58]

Answer: no because you get a decimal

Step-by-step explanation:

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3 years ago
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