All categories

3 years ago

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.

Mathematics

1 answer:

vfiekz [6]3 years ago

7 0

Answer:

128.2

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

$\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2$

You might be interested in

A random sample of 30 seventh grade students shows that 12 of them own a dog. How many seventh grade students can you predict ow

ArbitrLikvidat [17]

Answer:

160

Step-by-step explanation:

If out of 30 7th graders, 12 own a dog then when you have 400 of them, 160 will have a dog as well.

The way I did this was by 400/30: which was 13.3 repeating. I then mutliplied this number by 12, to find the final answer of 160.

4 0

4 years ago

Read 2 more answers

M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.

Marta_Voda [28]

Answer:

$(4,3)$

Step-by-step explanation:

Given

$R = (-2,-3)$

$M = (1,0)$

Required

Determine the coordinates of S

Midpoint is calculated as:

$M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)$

Where:

$(x,y) = (1,0)$

$(x_1,y_1) = (-2,-3)$

Substitute these values in the above formula:

$(1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)$

Multiply through by 2

$2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)$

$(2,0) = (-2 + x_2,-3+y_2)$

By direct comparison:

$2 = -2 + x_2$ and $0 = -3 + y_2$

Solving for x2

$2 = -2 + x_2$

$x_2 = 2 + 2$

$x_2 = 4$

Solving for y2

$0 = -3 + y_2$

$y_2 = 0 + 3$

$y_2 = 3$

Hence, the coordinates of S is: $(4,3)$

5 0

3 years ago

How many grams are there in one and a quarter kilograms?

kolezko [41]

<span><u>How many grams in a kilogram you ask? Kilograms and grams (kg to g) mass units conversion factor are 1000. To find out how many grams in kilograms, multiply the kilogram value by 1000 or use the converter.</u>

If you need more help I will be glad to help!:D
*~"SC599785"~*
</span>

7 0

4 years ago

Did I label this triangle correctly?

ziro4ka [17]

Answer:

Yes

Step-by-step explanation:

you labelled it correctly. angle a is across from side a, and vice versa. nice job!! :)

6 0

3 years ago

Read 2 more answers

Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information wa