An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postulate that is the most direct way to prove the triangles similar.

Answers

Answer 1

Answer:

Step-by-step explanation:

Right Triangle Similarity

Acute Angle Similarity

If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.

In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .

So, ΔLMN∼ΔXYZ .

Leg-Leg Similarity

If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.

In the figure,  ABPQ=BCQR .

So, ΔABC∼ΔPQR .

Hypotenuse-Leg Similarity

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)

In the figure, DFST=DESR .

So, ΔDEF∼ΔSRT .

Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.


Related Questions

Malawi exports approximately 1 × 10 3 metric tons of coffee per year, and Venezuela exports approximately 3 × 10 4 metric tons of coffee per year. Approximately how many times greater is Venezuela's coffee export amount than Malawi's?

Answers

Answer:

Venezuela's export of coffee is 30 times greater than Malawi's.

Step-by-step explanation:

Malawi's exports = 1 × 10³ = = 1 × (10 × 10 × 10) = 1 × 1000 = 1000 metric tons

Venezuela's exports = 3 × 10⁴ = 3 × (10 × 10 × 10 × 10) = 1 × 10,000 = 30,000 metric tons

To find by how many times greater is Venezuela's coffee export amount than Malawi's, we will divide the former by the later.

[tex]\frac{Venezuels's\ export}{Malawi's\ export} = \frac{30,000}{1000} = 30[/tex]

Therefore, Venezuela's export of coffee is 30 times greater than Malawi's.

If someone could attempt this I would appreciate it:) only if you know if that it is totally fine

Answers

Answer:

asd

Step-by-step explanation:

Answer:

a) The vertex will be at (-2, -1), and the parabola will look like a smiley face. 5 points on the parabola would be: (3, 24), (-3, 0), (2, 15), (-1, 0) and (1, 8).

b) The focus will be at (-2, 0), the directrix will be at y = -2, and the axis of symmetry will be at x = -2.

Step-by-step explanation:

a) The vertex (-2, -1) can be found by first setting the parentheses (x+2) equal to zero and solving to get the x value -2, then setting x equal to zero and solving to get the y value of -1.  

The parabola will be pointing up on both ends because the equation for it is positive (given 1 multiplied by parentheses) and it has a degree of 2.

The xy table to find the points would look like this:

x       |         y

3       |      24

-3       |        0

2       |       15

-1        |        0

1        |        8

b) The focus is one unit above the vertex, so the y value increases by 1. The directrix is a line 1 unit below the vertex, so its y value is 1 less than the vertex's. The axis of symmetry is the same as the x value of the vertex with infinite y values.

The distance between the market and the bakery is 100 yards between the bakery and the flower shop is 150 yards and between the flower shop and the market is 76 yards do these three locations form a right triangle?

Answers

Answer:

no

Step-by-step explanation:

Express 5% as a decimal

Answers

Answer:

.05

Step-by-step explanation:

you divide 5 by 100 which makes it .05

Which property of multiplication is shown by the equation 14 • y • 1 = 14y?


Group of answer choices

Associative

Distributive

Commutative

Identity

Answers

Answer:

Multiplicative identity is the property shown by this equation

Step-by-step explanation:

Multiplicative identity is explained as the product of any number and one is that number. Multiplicative identity is a property exhibited by most of the mathematical tools.

Zero and one are the numbers used to simplify equations whereas zero is called the additive identity. If we add any number with zero, it will result in the same in number.

Like that 1 is used in multiplicative identity.  More simple example could be  5 ˣ 1 = 5 ., it is the multiplicative identity  property

6x - 4x - 2 + 11x help pls

Answers

Answer13x-2

Step-by-step explanation:

6x-4x=2x+11x=13x

13x-2

please help im being timed 4 minutes each question i will give brainliest 6th grade math

Answers

Answer:

The answer is A I and II

Step-by-step explanation:

During a basketball game, Isaias attempted 20 baskets and made 6. What percent of the baskets that he attempted did he make?

Answers

Answer:

30% hope this is rightttt

hurrryrryryryuwguygwefgeiuwfgiurgfiurefrfrefreferfre

Answers

Answer:

-11/3= -3.6 repeating

Step-by-step explanation:

Plz mark B R A I N L I E S T

Answer:

Exact Form:

-11/3

Decimal Form:

-3.6

Mixed Number Form:

NEGATIVE 3 AND 2 THIRDS

Step-by-step explanation:

Select the correct answer. If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression. OA X + 12 B. 2x - 60 C. 5x + 60 D. 2x - 60

Answers

i think that the answer is  B. 2x-60

Exercice 2: Un remorqueur tire un bateau à la vitesse de 10 noeuds. La tension du câble est de 2500N, Le câble est parallèle à la trajectoire. Calculer la puissance correspondante. (Une vitesse moyenne de 1 noeud correspond à un parcours de 1 mille marin, soit 1852 m, en 1 heure. D'où : 1 noeud = 1,852 km/h = 0,514 m.S")

Answers

Répondre:

1 285 watts

Explication étape par étape:

La puissance est exprimée selon la formule;

power = travail effectué / temps

Puissance = Force * (distance / temps)

Depuis Vitesse = distance / temps

Puissance = Force * vitesse

Donné

Force = 2500N

Vitesse (en m / s) = 0,514 m / s

Obligatoire

Puissance

Remplacez la formule donnée;

Puissance = 2500 * 0,514

Puissance = 1,285Watts

Par conséquent, la puissance correspondante requise est de 1285 watts

The question is in the image. Thanks for your help!

Answers

Answer:

The value of x is 12 is not true.

Step-by-step explanation:

Since the line intersecting them are at a diagonal, it is not possible that the other of the lines both equal 115. Everything else in the choices is true.

there were 8 times as many blue cubes as red,in a box there were 6 red cubes.How many blue cubes were there

Answers

48

Step-by-step explanation:

Is it true or false?

Answers

Answer:

true

Step-by-step explanation:

Brainliest?

What is the slope of (4,16) and (-3,2)

Answers

Answer:

When x=0, y = 8

When y=0, x = -4

Step-by-step explanation:

Answer:

M = 2

Step-by-step explanation:

Solve the system by elimination . 2x-y=10 , -3x+y=-12

Answers

Answer:

x would equal 2 and y would equal -6 so, (2,-6)

Step-by-step explanation:

Answer:

x = 2

y = -6

Step-by-step explanation:

add the equations

2x-y=10            

   +          

-3x+y=-12

-x =- 2

x=2

substitute

2x-y=10

2(2)-y=10

-y=6

y=-6

A baseball team played 30 games throughout their entire season. They won 24 of
them. What percentage did they win?
What part of the percent proportion are you missing?

Answers

Answer:

1.25

Step-by-step explanation:

hope this help

Solve x2 + 9x + 9 = 0. (2 points)

a
quantity of negative 9 plus or minus 3 square root of 5 all over 2

b
quantity of 9 plus or minus 3 square root of 5 all over 2

c
quantity of negative 9 plus or minus square root of 117 all over 2

d
quantity of 9 plus or minus square root of 117 all over 2

Answers

Answer:

Letter A.

Step-by-step explanation:

.........................................

The solutions to the quadratic equation are:

x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2

Option A is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Quadratic equation x² + 9x + 9 = 0.

a = 1, b = 9 and c = 9

We can use the quadratic formula.

x = (-b ± √(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

Now,

Plugging in the given values.

x = (-9 ± √(9^2 - 4(1)(9))) / 2(1)

Simplifying.

x = (-9 ± √(81 - 36)) / 2

x = (-9 ± √(45)) / 2

x = (-9 ± 3√(5)) / 2

Therefore,

The solutions to the quadratic equation x^2 + 9x + 9 = 0 are:

x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

A half dozen cupcakes cost 15$ . what constant of proportionality relates the number of cupcakes at total cost ?

Answers

Answer:

The constant of proportionality is 2.5 dollar per cupcake

Step-by-step explanation:

the required equation would be \(y=2.5x\).

Answer:

$2.50

Step-by-step explanation:

trust me I know I'm right

2.8 - 0.92 mathematics

Answers

If you subtract 2.8 from 0.92, you will get 1.88

It's 12:18 What time will it be 45 minutes from now

Answers

Answer:

yes

Step-by-step explanation:

Answer:

1:13

Step-by-step explanation:

The radius of a circle is 1 mm. What is the circle's circumference? ​

Answers

Answer:

C≈6.28mm

Step-by-step explanation:

C=2πr

= 2·π·1≈6.28319mm

Answer:

6.283 mm

Step-by-step explanation:

the equation for circumference is 2[tex]\pi[/tex]r

if the radius is 1 then insert it

c=2[tex]\pi[/tex](1)

c=6.283 mm

What is the x value of this equation?

Answers

You have to go to heaven and you can call me when I can get it to you I don’t want you have

Plzz hurry helpp I’ll give brainliest

Answers

I think the answer is c

Answer:

The answer is b

Step-by-step explanation:

replaced (-6,1) in B

1 = -2/3(-6) -3

1 = 12/3 -3

1 = 4-3

1 = 1

Can someone help me solve this problem?

-1= 3 + 4×​

Answers

Step-by-step explanation:

hope this helps

If the given is -1= 3 + 4x then the answer is x= -1

-1= 3 + 4x

-1-3=4x

-4=4x

To find the x divide both sides by 4.

-4/4=4x/-4

x= -1

how do you do i identify the slope and the y- intercept of the line graphed or what’s the answer

Answers

The y-intercept is the line that crosses the y-axis which is at 2 and the slope you can use the slope formula I picked any two points on the line and found out my slope or you can use rise/run

Answer: slope: -2
Y-intercept: 2

There are 40 students in a class and 30% of these students passed their history test.
What number of these students passed the test?
What part of the percent proportion are you missing?

Answers

Answer:

12 10

Step-by-step explanation:

4x+y=6
y=-4x-1
HELP ME

Answers

Answer:

No solution

Step-by-step explanation:

Given

4x+y=6 y=-4x-1Solution 1

Substitute y in the first equation:

4x + (-4x - 1) = 64x - 4x =6 + 10 = 7

Incorrect, therefore no solution

Solution 2

Writing both equation as lines:

y = -4x + 6y = -4x - 1

As we see both lines have a same slope. It means they are parallel and no intersection.

Proceeds to rob your house

Answers

Answer:

proceeds to scroll on iphone

Complete the sentence with the word "element" or "compound."

O is a(n)
and H2O2 is a(n)
.

Answers

Answer:

O is an element (Oxygen) and H2O2 is a compound (Hydrogen Peroxide)

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