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4 years ago

ΔMNO is shown.

Mathematics

1 answer:

JulijaS [17]4 years ago

5 0

Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

JKL - SAS

Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles - there is not enough information

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS

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Three consecutive odd numbers have a sum of 45. what is the greatest number?

rodikova [14]

Let's assume the middle number is $x$
then the smallest number is $x-2$
the greatest number is $x+2$
so the sum of the three number would be $(x-2)+x+(x+2)$ and it equals 45
now we have an equation $(x-2)+x+(x+2)=45$
then we solve it $3x=45$
$x=15$ , which means the middle number equals 15
so the greatest number would be $x+2=15+2=17$
17 is the greatest number

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4 years ago

A company makes t-shirts and their research shows that that price and demand are related linearly: p = m x + b . They know that

allsm [11]

Answer:

The linear equation relating price to demand is Q=-0.5*P + 30

Step-by-step explanation:

The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.

Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.

You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.

On a line of the form y = m * x + b, the value of m, having two points, is calculated by:

$m=\frac{y2-y1}{x2-x1}$

And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.

In the case of Q=m*P+b, the value of m, having two points, is calculated by:

$m=\frac{Q2-Q1}{P2-P1}$

Being:

Q1= 5
P1= $50
Q2= 10
P2= $40

and replacing:

$m=\frac{10-5}{40-50}$

you get:

m= -0.5

So, being Q=-0.5*P+b, b is calculated by:

Replacing the point Q1= 5 and P1= 50

5= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30

Replacing the point Q1= 10 and P1= 40

10= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30

Then, <u><em>the linear equation relating price to demand is Q=-0.5*P + 30</em></u>

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3 years ago

Which of these would be a helpful first step in solving the equation? Check all that apply.

Anuta_ua [19.1K]

I believe it would be A and E. Good luck!!:)

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3 years ago

Pls help extra points and mark brainlist

cricket20 [7]

Answer:

concluded

Step-by-step explanation:

this means to bring to an end.

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3 years ago

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A triangle is obtuse provided all the angles have a measure greater then 90 degrees

Mrrafil [7]

Answer:

An obtuse triangle can not have more than one angle measured greater than 90.

Step-by-step explanation:

Obtuse triangles have 2 acute angles (less than 90 degrees) and 1 obtuse angle (greater than 90).

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2 years ago