What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle? A. exterior angle
B. adjacent interior angle
C. remote interior angle
D. alternate interior angle

Answers

Answer 1

Answer:

Answer: C. remote interior angle

Step-by-step explanation:

The angle between a side of a shape and the line extended from the next side is known as exterior angle.
The angles that do not share a vertex (of a triangle) with the exterior angle is known as remote interior angles .
The measure of the exterior angle and the sum of the two remote interior angles are equal.
A pair of two interior angles that share a common side are known as adjacent interior angles.
The pair of angles that are formed on opposite sides of the transversal and inside the two lines are known as alternate interior angles.

Hence, the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is remote interior angle

So , correct option is C. remote interior angle.

Answer 2

Answer: The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is the remote interior angle. Getting the values of each sides help you come up with the remote interior and exterior angles.

Given

The graph of the parent squareroot function is;

$\rm y= √(x) +2$

What is the horizontal shift?

The horizontal shift is obtained by determining the change being made to the x-value. The horizontal shift is C.

If the horizontal shift is positive, the shifting moves to the right.

If the horizontal shift is negative, the shifting moves to the left.

The square root parent function is,

$\rm y= √(x) +2$

There is a shift in positive x-direction 2 units.

When the constant is negative the shift is to the right in c units, and when the constant is positive (like in this case) the shift is to the left in c units.

Hence, the graph is a horizontal shift of the function two units to the left.

To know more about Horizontal Shift-click the link given below.

brainly.com/question/8740413

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $

Answers

Answer:

y = 260x + 700
$5900

Step-by-step explanation:

We can describe it as a linear function with points of:

(5, 2000) and (15, 4600)

Slope intercept formula:

y = mx +b

Finding the slope using the two given points:

m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

2000 = 5*260 + b

b = 2000 - 1300 = 700

Formula obtained:

y = 260x + 700

For x = 20, value of y is:

y = 260*20 + 700 = 5200+700 = $5900

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:

slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260

y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700

Therefore, the equation of the line is y = 260x + 700.

To find the cost to produce 20 heaters, we substitute x = 20 into the equation:

y = 260 * 20 + 700 = 5200 + 700 = 5900

So, the cost to produce 20 heaters is $5900.

Learn more about Linear function here:

brainly.com/question/40461731

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to multiply a number by 12, Carter likes to multiply the number by 10 and then multiply it by 2 and add the product. Write an expression with parenthesis how carter would solve 12×16

Answers

Since carter multiplies by 10 and then by 2 and adds the two, here we have been given 16 * 12

Step 1: Carter would first multiply the number by 10. This would be = 16*10

Step 2: Carter would multiply the number by 2. This would be = 16*2

Step 3: He would add the two. This would be = (16*10) + (16*2)

Carter's solution would be:

=16*12

=(16*10) + (16*2)

= 160 + 32

= 192

Y = 3x + 4y, x + 2y = -1 using substitution

Answers

Answer:

x = 1

y = -1

Step-by-step explanation:

y = 3x + 4y

3x + 3y = 0

So, we have 2 equations that are

3x + 3y = 0

x + 2y = -1

Times the second equation by -3

3x + 3y = 0

-3x - 6y = 3

-3y = 3

y = -1

Now put -1 in for y and solve for x

x + 2(-1) = -1

x - 2 = -1

x = 1

Let's check

1 + 2(-1) = -1

1 - 2 = -1

-1 = -1

So, x = 1 and y = -1 is the correct answer.

The answers should be x=1 and y=-1

Lona read 40 books for the read-a-thon. She read 30% historical fiction and20% sports stories. The rest were mysteries. How many mysteries did lona read?

Answers

20 mysteries. Add 20% and 30% to get 50%. Then rewrite 50% as 50/100. Next multiply 50/100 by 40 to get 2,000/100.The last thing to do is simplify to get 20 and subtract 20 from 40 to get 20 mysteries.

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