All categories

3 years ago

Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other. 9

Mathematics

1 answer:

Tatiana [17]3 years ago

3 0

As the triangles are similar so sides are proportional.
$\frac{4}{3} = \frac{x}{6} 
$
$x=6*(4/3)=8$
so other side is 8

You might be interested in

plz help me i really need help these problems are really hard for me to understand so if anybody helps it would be highly apprec

Arturiano [62]

Answer:

i know that for the first one you would have to move it up 5 units

7 0

3 years ago

Read 2 more answers

A number written in the form a + biis called a

ryzh [129]

Answer:

Step-by-step explanation:

A number in the form a + bi , where a and b are real is a complex number

a represents the real part and bi the imaginary part

6 0

3 years ago

Write a real-life problem that involves dividing a decimal by a whole number

Sloan [31]

James needs to find how much quarters are in a dollar divide .25 with 1$Dollar

8 0

3 years ago

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea

andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{23}{12} = 1.92$

b) standard deviation for this population

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences = 126.92

$\sigma = \sqrt{\frac{126.92}{12}} = 3.25$

c) median change score

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

$\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5$

d) change score that is 2.2 standard deviations below the mean.

$x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23$

4 0

3 years ago

In the figure, line m is parallel to line n. The measure of angle 2 is 40 degrees and the measure of angle 3 is 68 degrees. What

sveticcg [70]

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

hope that helps lol >:)

4 0

3 years ago