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romanna [79]
3 years ago
9

What is the value of x?

Mathematics
2 answers:
disa [49]3 years ago
7 0

Answer:

x = 98

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle, thus

x = 45 + 53 = 98

bixtya [17]3 years ago
6 0

Answer:

98°

Step-by-step explanation:

53 + 45 = x

because two interior angles in a triangle that is not adjacent to exterior angle is equal to that exterior angles

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Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftove
slavikrds [6]

Answer:

a. 4\ pencils

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

total\ pencils=79

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: 4.

<em>This means that Louis’s teacher will receive 4 pencils.</em>

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.

4 0
3 years ago
Read 2 more answers
Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have
sergey [27]

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: <u><em>dimes, nickels, pennies, and quarters.</em></u>

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

<em>1 nickel = $0.05</em>

<em>1 quarter = $0.25</em>

<em />

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

To learn more, visit the link below:

brainly.com/question/13312288

8 0
3 years ago
The measure of an angle is 79 what is the measure of its complementary angle
malfutka [58]

Answer:

x + 79 = 90

x = 11 degrees

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP FAST FAST FAST<br> Use the interactive number line to graph the inequality -1 ≥ x.
pochemuha
Put an open circle pointing to the left on -1
8 0
3 years ago
Read 3 more answers
The surface area of a cube is 400 millimeters what is the surface area of a similar cube that is larger by a scale factor of 3
yuradex [85]
Larger by 3 means that the legnths of the sides are larger by 3 times
so we have a cube that has area of 400
surface area=legnth times width times 6 since it is a cube and legnth=width
so
SA=w^2 times 6

6w^2=400
divide by 6
w^2=200/3
square root both sides
w=√(200/3)
so w is 3 times larger
(3w)^2 times 6 is new area

w=√(200/3)
(3√(200/3))^2 times 6=9(200/3) times 6=600 times 6=3600

answer is 3600 ml^2
3 0
3 years ago
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