Suppose you drew a diagonal in rectangle,trapezoid,parallelogram.which figures do triangles with same shape & size?

1 answer:

8 0

The same shape and size is the parallelogram because if you draw a a diagonal line through the parallelogram you would get a triangle hope this helps.

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A hotel off two activity packages.one costs $192 and includes 3h of horseback riding and 2h of parasailing. The second costs $21

Pie

H = cost of horseback riding per hr, p = cost of parasailing per hr
3h + 2p = 192...multiply by 2
2h + 3p = 213..multiply by -3
------------------
6h + 4p = 384 (result of multiplying by 2)
-6h - 9p = - 639 (result of multiplying by -3)
-----------------add
-5p = - 255
p = -255/-5
p = 51 <== cost of 1 hr for parasailing

3h + 2p = 192
3h + 2(51) = 192
3h + 102 = 192
3h = 192 - 102
3h = 90
h = 90/3
h = 30 <== cost of 1 hr of horseback riding

6 0

3 years ago

On an international exam, students are asked to respond to a variety of background questions. For the 41 nations that participa

nignag [31]

Answer:

Correlation is a measure of linear relationship.

Step-by-step explanation:

We are given that a correlation of 0.793 was found between the items answered and the mean score in a test.

Correlation helps us to to know how to variables are related to each other.
It is a statistical technique that help us to know type of relation between two variable. It may be a direct relation or a inverse relation.
In other word, correlation is basically a measure of linear relationship between two variables.
The correlation ranges from -1 to 1. A correlation between 0.7 and 1 is considered to be a strong correlation.
A correlation of 0.793 means that there is a strong linear relationship between the two variables.
Yes, there is a linear relationship between the number of questions answered and the mean score of test.
So, it can be said as the number of questions answered increases, the mean score increases as well.

8 0

3 years ago

Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chord

emmainna [20.7K]

The arcs intersected by these chords are not congruent.

Given that two circles with different radii have chords AB and CD, such that AB is congruent to CD.

Let r₁ and r₂ be the radii of two different circles with centers O and O' respectively.

Assuming that the each of the ∠АОВ and ∠CO'D is less than or equal to π.

Then, we have isosceles triangle AOB and CO'D such that,

AO = OB = r₁,

CO' = O'D = r₂,

Let us assume that r₁< r₂;

We can see that arc(AB) intersected by AB is greater than arc(CD), intersected by the chord CD;

arc(AB) > arc(CD) .......(1)

Indeed,

arc(AB) = r₁ angle (AOB)

arc(CD) = r₂ angle (CO'D)

So, we have to prove that ;

∠AOB >∠CO'D ......(2)

Since each angle is less than or equal to π, and so

∠AOB/2 and ∠CO'D/2 is less than or equal to π

it suffices to show that :

tan(AOB/2) >tan(CO'D/2) ......(3)

From triangle AOB :

tan(AOB/2) = AB/(2*r₁)

tan(CO'D/2) = CD/(2*r₂)

Since AB = CD and r₁ < r₂ (As obtained from the result of (3) ), therefore, arc(AB) > arc(CD).

Hence, for two circles with different radii have chords AB and CD, such that AB is congruent to CD but the arcs intersected by these chords are not congruent.

Learn more about congruent from here brainly.com/question/1675117

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