Do 4x and 15+x have the same value when x is 5

In the diagram below, PQ is parallel to MN . If MP=25, PQ=18, and MN=33, find the length of PO . Figures are not necessarily dra

Ray Of Light [21]

Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

<h3>What are Similar Triangles?</h3>

The triangles that are similar to each other will have their corresponding sides proportional to each other.

Given:

MP = 25

PQ = 18

MN = 33

Triangles MON and POQ are similar triangles.

Let PO = x

Therefore:

MN/PQ = MO/PO

Substitute

33/18 = (25 + x)/x

Cross multiply

33x = 18(25 + x)

33x = 450 + 18x

33x - 18x = 450

15x = 450

x = 30

Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

Learn more about similar triangles on:

brainly.com/question/21874653

8 0

2 years ago

I need help with this problem for math plz

san4es73 [151]

I need to see the shape so I can help

7 0

2 years ago

Write the equation of the given line in slope-intercept form

Snowcat [4.5K]

Answer:

y = -3x -1

Step-by-step explanation:

Hi there!

We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)

We can use these points to help find the equation of the line, which we can write in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line
The formula for the slope calculated from 2 points is $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.

$x_1=-1\\y_1=2\\x_2=1\\y_2=-4$

Now substitute these values into the formula to find the slope

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{-4-2}{1--1}$

Simplify

m= $\frac{-4-2}{1+1}$

m= $\frac{-6}{2}$

Divide

m= -3

The slope of the line is -3

We can substitute this into the formula.
Here's our line so far:

y = -3x + b

Now we need to find b

As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b

Taking (-1, 2) for example:

Substitute -1 as x and 2 as y.

2 = -3(-1) + b

multiply

2 = 3 + b

Subtract 3 from both sides

-1 = b

Substitute -1 as b.

y = -3x - 1

Hope this helps!

See more on this topic here: brainly.com/question/27402935

8 0

1 year ago

Elena's diagram for 372 has 7 tens. The one for 372 : 3 has only 6 tens. Why? Where

Andru [333]

Answer:

one ten was traded for ten ones

Step-by-step explanation:

372 cannot be divided by 3 easily. However, 360 +12 can be divided by 3 easily, so it makes sense to trade one of the seven tens for ten ones. That will leave 6 tens, but give twelve ones.

370 +2 = 360 +12 . . . . where the "+" numbers are the numbers of ones

4 0

3 years ago

Lisa and ant share some money in the ratio 5:8 <br> what fraction does Lisa receive?

BaLLatris [955]

Answer:

The fraction of the money that Lisa received will be 5x/13

Step-by-step explanation:

The the amount shared by Lisa and ant be x

If Lisa and ant share the money in the ratio 5:8, to get the fraction Lisa received;

Step1:

The total ratio will give:

5+8 = 13

Since the ratio Lisa got was 5, then the fraction of money Lisa receive will be:

Lisa ratio/Total ratio × Amount shared

= 5/13 × x

= 5x/13

Therefore, the fraction of the money that Lisa received will be 5x/13

8 0

2 years ago