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2 years ago

The diagonal of a square bisects the angles. What is the measure of angle x?

Mathematics

2 answers:

RUDIKE [14]2 years ago

8 0

Answer:

45 degrees

Step-by-step explanation:

all angles of a square add up to 360
360 divided by 4 is 90
the diagonal bisects the angle in half so 90 divided by 2 is 45

Brums [2.3K]2 years ago

4 0

Answer:

45°

Step-by-step explanation:

Each interior angles of a square is 90° since each side is perpendicular to its adjacent side.

Therefore, as the diagonal bisects the angle(s), this means it divides each 90° angle into 2 equal parts.

So 90 ÷ 2 = 45

You might be interested in

The Eastons traveled 180 miles on a trip to Grandma's house. At the end of the trip the odometer read 8,246 miles. Write and sol

aleksandr82 [10.1K]

Answer:

8246=x+180

x=8066 miles

Step-by-step explanation:

Let the initial readings be x

The final reading is the sum of initial reading and distance covered hence

Final=Initial + distance covered

Substituting 8246 miles for the final miles and 180 miles for the distance traveled to Grandma's house

8246=x+180

Solving for x

x=8246-180=8066 miles

4 0

3 years ago

A songwriter gets paid monthly at a rate of $150 for each song he completes. Last month he wrote 8 songs and got halfway through

DaniilM [7]

Answer:

The answer would be 1275 if they get paid for half the money on the 9th song

Step-by-step explanation:

3 0

3 years ago

Which fraction is less than 1 chose all of the correct answer, and explain why you chose and write it down and explain your answ

EleoNora [17]

Answer:

$(3/4)$ and $(2/3)$ .

Step-by-step explanation:

For a fraction of the form $(p / q)$ , the number in front of the division ( $p$ ) is the numerator. The number after the division ( $q$ ) is the denominator.

$\begin{aligned} \frac{p}{q} \quad \genfrac{}{}{0}{}{(\text{numerator})}{(\text{denominator})}\end{aligned}$ .

A positive fraction $(p/q)$ ( $p,\, q > 0$ ) is less than $1$ as long as the numerator $p$ is smaller than the denominator $q$ (that is, $p < q$ .) The reason is that as long as $p,\, q > 0$ :

$\begin{aligned} & \frac{p}{q} < 1 \\ \iff & (q)\, \left(\frac{p}{q}\right) < (q)\, (1) && (\text{given that $q > 0$}) \\ \iff & p < q\end{aligned}$ .

For example, in the fraction $(2/3)$ , $2$ is the numerator while $3$ is the denominator. Both the numerator and the denominator are positive, while the numerator $2\!$ is smaller than the denominator $3\!$ . Therefore, $(2/3)$ would be less than $1$ .

6 0

1 year ago

41 kilometers to meter

g100num [7]

Answer:

41000 meters

Step-by-step explanation:

multiply the length value by 1000

4 0

4 years ago

Read 2 more answers

A slope field produces...

balandron [24]

It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

3 0

3 years ago