Solve the Percent Discount Application.

Given two angles in each triangle, how can you determine if two triangles are similar?

Anna [14]

Answer:

Calculate the third missing measure.

Use the interior angle sum of a triangle.

Compare angle measures.

Triangles with two pairs of congruent angles are similar.

The angle-angle criterion applies.

Step-by-step explanation: e2020

4 0

3 years ago

Read 2 more answers

Mr. Nguyen bought a package of 4 chicken legs and a package of 6 chicken wings. Ms. Dawen bought a package of 3 chicken legs and

gulaghasi [49]

Answer:

weight of legs - 7 ounces

weight of wings - 4 ounces

Step-by-step explanation:

Let the weight of a chicken leg be represented by l

Let the weight of a chicken wing be represented by w

The total weight of Mr. Nguyen's package can be represented by this equation :

4l + 6w = 52

The total weight of Ms. Dawen's package can be represented by this equation :

3l + 6w = 45

To find the weight of the legs and wing, use simultaneous equation

4l + 6w = 52 eqn 1

3l + 6w = 45 eqn 2

Subtract equation 2 from 1

l = 7 ounces

Substitute for l in equation 1

4(7) + 6w = 52

28 + 6w = 52

Solve for w

w = 4 ounces

4 0

3 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

Cira is going for a run on a trail.so far she has 6/4 of a mile.she still has 2/3 Of the trail left to run.how long is the trail

Anastaziya [24]

(6/4) (2/3) times the denominators (4x3=12) then times (6x3 and 4x2) add the two answer together which should be 26/12 then reverse it. 12/26 = 6/13 (I'm English so might be different for you)

3 0

3 years ago

IMAGES BELOW! Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3?

7nadin3 [17]

Answer:

1st Graph

Step-by-step explanation:

Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.

6 0

4 years ago