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3 years ago

Which of the following is true when comparing the following numbers on a horizontal number line?

Mathematics

1 answer:

zalisa [80]3 years ago

4 0

The second one, 2.75 is to left of 3 on the numberline and it is less than 3

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Select the Ordered Pair which represents the origin. Question 5 options: (x, y) (0, 7) (5, 0) (0, 0)

Alinara [238K]

(0,0) is the origin of a coordinate plane.

6 0

4 years ago

How many 1 1/2 cups servings are there in a 42 cup container of popcorn?

diamong [38]

Answer:

The answer is 28

Step-by-step explanation:

$42 \div 1 \times \frac{1}{2}$

$= 28$

3 0

3 years ago

Find an equation of the line that satisfies the given conditions.

8090 [49]

Answer:

$x=8$

Step-by-step explanation:

Given:

The equation of the given line is $y=9$

A point on the unknown line is (8, 5).

The unknown line is perpendicular to the line $y=9$ .

A line of the form $y=a$ where 'a' is a constant is a line parallel to the x axis. The line has a constant value for 'y' irrespective of the value of 'x'. The slope of such lines are equal to 0. So, slope of the known line is 0.

Now, when two lines are perpendicular, the product of their slopes is -1.

Let the slope of the unknown line be 'm', then:

$m\times 0 =-1\\m=-\frac{-1}{0}=$ undefined.

Therefore, the slope of the unknown line is undefined. A line parallel to y axis has undefined slope. So, the equation of the unknown line is of the form:

$x=b$ where, 'b' is a constant and is equal to the abscissa (x value) of the line.

As per question, (8, 5) lies on this line. Therefore, the value of 'x' is 8.

So, the equation of the unknown line is $x=8$

8 0

4 years ago

Read 2 more answers

4/30 divided by 7/48

professor190 [17]

Answer:

Step-by-step explanation:

4/30 ÷ 7/48

=4/30 * 48/7

=4/15*24/7

=96/105

5 0

4 years ago

Given that RT - WX, which statement must be true?

Andrei [34K]

Answer:

Since RT ≅ WX, RT and WX are congruent; in other words they are completely equal for all purposes. Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

Step-by-step explanation:

For RT + TW = WX + TW

Step 1 replace RT with WX

RT + TW = WX + TW

WX + TW = WX + TW

Step 2 subtract TW from both sides of the equation

WX + TW - TW= WX + TW -TW

WX = WX

Since RT ≅ WX, the equation WX = WX is valid because, as we stated before, RT and WX are completely equal, and thus, interchangeable.

We can conclude that the correct statement is: RT + TW = WX + TW

Since we already found the valid statement, we don't need to check the other ones, but lets do it just for fun:

For RT = 2(RX) and WX = 2(RX)

Step 1 replace RT with WX:

WX = 2(RX)

Since we don't know anything about RX, we can't conclude that RT = WX from the given statement. Therefore, we can't conclude that the statement must be true.

For RT + TW = RX

Step 1 replace RT with WX:

WX + TW = RX

Step 2 subtract TW from both sides:

WX + TW - TW = RX - TW

WX = RX - TW

Again, since we don't know anything about RX and TW, we can conclude that RT = WX from the given statement. . Therefore, we can't conclude that the statement must be true.

hpoe it helps...

5 0

3 years ago