Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the diagram below,
bar(QR) is parallel to
bar(NO). If
QR=30,PO=28, and
PR=20, find the length of
bar(NO). Figures are not necessarily drawn to scale.

In the diagram below, $\overline{Q R}$ is parallel to $\overline{N O}$ . If $Q R=30, P O=28$ , and $P R=20$ , find the length of $\overline{N O}$ . Figures are not necessarily drawn to scale.

View step-by-step help

View step-by-step help

Find the magnitude of a three-dimensional vector

Full solution

Q. In the diagram below,

\overline{Q R}

is parallel to

\overline{N O}

. If

Q R=30, P O=28

, and

P R=20

, find the length of

\overline{N O}

. Figures are not necessarily drawn to scale.

Triangles Similarity: Since $\overline{QR}$ is parallel to $\overline{NO}$ , and we have a transversal line $PR$ , by the properties of parallel lines, triangle $PQR$ is similar to triangle $PNO$ .
Proportional Sides: Using the properties of similar triangles, the sides are proportional. So, $\frac{QR}{PR} = \frac{NO}{PO}$ .
Substitute Values: Substitute the given values into the proportion: $\frac{30}{20} = \frac{NO}{28}$ .
Simplify Proportion: Simplify the left side of the proportion: $\frac{3}{2} = \frac{NO}{28}$ .
Cross-Multiply: Cross-multiply to solve for NO: $3 \times 28 = 2 \times \text{NO}.$
Calculate Multiplication: Calculate the multiplication: $84 = 2 \times NO$ .
Divide to Find NO: Divide both sides by $2$ to find NO: $NO = \frac{84}{2}$ .
Final Calculation: Calculate the division: $NO = 42$ .

More problems from Find the magnitude of a three-dimensional vector

Question

Rewrite in simplest terms:

6 c-9(-2 c-9)

\newline

Posted 2 months ago

Question

Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an

(x, y)

\newline

y=-2 x^{2}-12 x-2

\newline

Posted 3 months ago

Question

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an

(x, y)

\newline

y=-2 x^{2}-18

\newline

Posted 3 months ago

Question

Write the equation of the line that passes through the points

(-1,-4)

(6,-8)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

\newline

Posted 3 months ago

Question

Find the distance between

P(4,4)

Q(9,7)

\newline

The distance between

P

Q

\square

\newline

(Simplify your answer. Type an exact answer using radicals as need

Posted 3 months ago

Question

Find the length and width op the quadrilateral with vertices at

(6,4),(4,4,(6,7),(4,7)

Posted 3 months ago

Question

\begin{aligned} x+y&=3, \ & x-3y=-9 \end{aligned}

\newline

What is the solution

(x,y)

to the given system of equations?

Posted 2 months ago

Question

6

. The length and breadth of a room are

3 x^{2} y^{3}

6 x^{3} y^{2}

. Find its and area.

Posted 2 months ago

Question

(2,58)

(9,72)

are two anchor points on a trend line, then find the equation of the line.

Posted 2 months ago

Question

Find an explicit formula for the geometric sequence 2\,,\,6\,,\,18\,,\,54,\unicode{0x2026}. Note: the first term should be

b(1)

Posted 2 months ago