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blondinia [14]
2 years ago
6

Pls help 4 100 points in geometry i will giv brainliest

Mathematics
2 answers:
kipiarov [429]2 years ago
8 0

a=35°

Answer:

Solution given;

∡ZTN=85°

∡NTM=a

∡RTM=60°

∡ZTN+∡NTM+∡RTM=180°[since the sum of angle of a straight line is 180°]

substituting value

85°+a+60°=180°

a+145°=180°

a=180°-145°

a=35°

again

∡ZTN=∡TNM=85°[alternate angle]

Step-by-step explanation:

dmitriy555 [2]2 years ago
7 0

Answer:

a = 35

c = 85

Step-by-step explanation:

85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)

therefore a = 35.

a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)

therefore c = 85

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sweet [91]

Answer:

The variable Y represents the number of meters of string in the third yoyo

Step-by-step explanation:

In this equation y stands for the unknown variable. The equation tell you that hope made 3 different yo-yos so the number of yo-yos hope made isn't unknown, meaning, it cant be the first answer. The problem also tells you that hope used a total of 4 meters of string which means that the total number of string used isn't the unknown variable. The number of meters of string in the third yo-yo is the only number that isn't. This makes the number of sting used in the third yo-yo the unknown variable, making it y.

3 0
2 years ago
A table with a round top is cut in half so that it can be used against a wall.after it is cut,the edge along the wall is 6 feet
MrRissso [65]

Answer:

The area of the table after it is cut is 12 or 36 because

Step-by-step explanation:

6 times 2= 12 and 6 times 6= 36 so year

4 0
3 years ago
Simplify each expression.<br> (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃
babymother [125]

The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃  using the exponent rules is -3

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃

(-3)³/₃

(-3)¹

-3

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

4 0
1 year ago
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
In a Cartesian coordinate system, the horizontal axis is called the x-axis and the____ axis is called the y-axis?
lianna [129]

Answer:

"vertical" (y axis), "lateral" (x axis), and "horizontal" (z axis)

Step-by-step explanation:


4 0
2 years ago
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