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2 years ago

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics

2 answers:

ANEK [815]2 years ago

6 0

Answer:

x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

5x = 2x + 33°

3x = 33° . . . . . . . . . subtract 2x

x = 11° . . . . . . . . . . . divide by 3

Viefleur [7K]2 years ago

5 0

Answer:

11 degrees

Step-by-step explanation:

it just is i tried it rsm

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Select the property of equality used to arrive at the conclusion. If x = 4, then 5x = 20 the addition property of equality the m

shtirl [24]

Answer:

The Division Property of Equality

Step-by-step explanation:

The Addition Property of Equality: When you add something to one side of the equation, you must add the same thing to the other side.

The Subtraction Property of Equality: When you subtract something from one side of the equation, you must subtract the same thing from the other side.

The Multiplication Property of Equality: When you multiply something to one side of the equation, you must multiply the same thing to the other side.

The Division Property of Equality: When you divide something from one side of the equation, you must divide the same thing from the other side.

In this case, you have to divide both sides of the equation by 5 to get x = 4. That means that the division property of equality was used.

I hope this helps! Have a great day!

8 0

3 years ago

Read 2 more answers

the perimeter of a rectangular field is (16a+8b-6c) units and one of its side is (5a+3b-4c) find the other side

Jet001 [13]

3a+b+c

The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.

So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:

16a+8b-6c - 2*(5a+3b-4c) =

16a+8b-6c -10a-6b+8c =

6a+2b+2c

half of that is

(6a+2b+2c)/2 = 3a+b+c

7 0

2 years ago

1/5(150x-80y+50-50x-25y+20)

ExtremeBDS [4]

1/5 (150x - 80y + 50 - 50x - 25y + 20) = 20x - 21y + 14
what I did is combined the like terms and multiplied each term within the parenthesis by .2

5 0

3 years ago

Read 2 more answers

Which correctly describes the graph shown below

Alborosie

The answer is C. Explanation: The line isn’t a straight line, so it can’t be a linear line. Then, do the vertical line test to see if the line is a function (to do this, draw a vertical line through the graph, and see if it passes more than one point on the graph. If the vertical line passes any more than one point on the graph on any spot, it is not a function), and since the graph fails the vertical line test, it is not a function. Therefore, the answer is C.

5 0

3 years ago

A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0

3 years ago