Given: m∠B = 46°; m∠C = 45°; m∠R = 46°; m∠T = 89° Prove: △ABC ~ △TRS Triangles A B C and T R S are shown. Angles A B C and T R S are 46 degrees. Angle B C A is 45 degrees. Angle R T S is 89 degrees. Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof? △ABC is an acute triangle. △TRS is larger than △ABC. The sum of the measures of the interior angles of a triangle is 180°. The sum of the side lengths of two sides of a triangle is greater than the third side length.

Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

[tex]\sqrt{x} 650.25[/tex]=c units 2

25.5

H=2s

31=2s

S=31/2=15.5 scholars

Answer:no

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles

Area of a trapezoid = 1/2 (a + b)h

The formula for the height of a trapezoid =

h = 2(A/a + b)

A = 18 square miles

a = 5 miles

b = 7 miles

h = 2(18/5 + 7)

h = 2( 18/12)

h = 2 ( 9/6)

h = 3 miles

Answer:

x=360

Step-by-step explanation:

Answer:

The mean is the average of a set of data.

Example:

To find the mean, add up all of the numbers in the set and divide by the number of values that you added.

35 + 36 + 37 + 38 + 40 + 40 + 41 + 42 + 43 + 55 + 55 + 55 + 56 + 57 + 58 + 59 = 747

Then, divide by the number of values, which is 16.

747/16=46.68

Responder:

Los cuadros 89 y 91 presentan proporcionalidad directa

El cuadro 90 muestra una correlación directa.

Explicación paso a paso:

De la imagen adjunta:

Cuadro 89:

Para mostrar proporcionalidad directa:

y α x

y = kx; k = constante de proporcionalidad

Comprobando las tablas:

Cuadro 89:

A = 1,5; B = 3

B = kA; 3 = 1.5k

k = B / A

k = 3 / 1,5 = 2

Usando k = 2;

demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.

B = 2 * 2 = 4

Por tanto, el cuadro 89 exhibe proporcionalidad directa

Comprobando las tablas:

Cuadro 90:

C = 2; D = 8

D = kC; 8 = 2k

k = 8/2 = 4

Usando k = 4;

demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.

B

D = 4 * 3 = 12

De la tabla, D = 9;

Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.

Comprobando las tablas:

Cuadro 91:

E = 1; F = 1/2

F = kE; 1/2 = k

k = 1/2

Usando k = 1/2;

demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.

F = 1/2 * 3 = 3/2

Por tanto, el cuadro 91 presenta proporcionalidad directa.

Step-by-step explanation:

take as if this points are on a line segment AB

Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2

= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2

= square root of (-1)^2 + (0)^2

= square root of 1 + 0

= square root of 1

= 1 units

The distance from AB is 1 unit

Answer: center is (9, -4)

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

the lines do not cross therefore there is no direct coordinate

Answer:

[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]

Step-by-step explanation:

in the following expression

everytime 3 is common

(3×1)+(3×6d)+(3×7d)

therefore if you take 3 from every expression we get

which is a product of two factors

Answer:

Glasses 12 : 48 because, when you do 20/5 it equals to 4 so, the ratio will equal to seconds = Glasses • 4

44 seconds = 11 glasses

Step-by-step explanation:

Answer:

1/ 2

Step-by-step explanation:

Given that:

Number of marbles, = 10

Number of Red marbles = 5

Number of Blue marbles = 5

Probability, p = required outcome / Total possible

Probability of picking a red marble :

Required outcome = number of red marbles = 5

Total possible outcomes = total number of marbles = 10

Hence,

Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2

Answer:

$4242

Step-by-step explanation:

Given data

Principal=  $14000

TIme = 4 years

Rate= 6.85%

Let us find the final amount A

A=P(1+r)^t

substitute

A=14000(1+0.0685)^4

A=14000(1.0685)^4

A=14000*1.303

A=$18242

Hence the interest is

Interest= Final amount-Principal

=18242-14000

=$4242

Answer:

3+4+7-5+10+4-4=19

Step-by-step explanation:

3+a=3+4+7-5+10+a=10+4-a=10+4-4=19

Answer:

No b/c the hypotenuse is too long

Step-by-step explanation:

17² + 25² = 36²

289 + 625 = 1296

914 ≠ 1296

Answer:

6715

Step-by-step explanation:

I hope this helps, :)

Answer:

4

Step-by-step explanation:

Let the unknown number be x

Five times the number is expressed as 5x  

28 greater than the product of the number and -2 is expressed as;

28 + (-2x)

Equating both expressions

5x = 28 + (-2x)

5x = 28 - 2x

5x+2x = 28

7x = 28

x = 28/7

x = 4

Hence the number is 4

Answer:

b=11/10

Step-by-step explanation:

plug in 11 for "a" and solve for "b"

Answer:

11.2

Step-by-step explanation:

The answer is 11.2 degree

Answer:

He would be making 544.8$ each week

Step-by-step explanation:

Answer:

A parallelogram

Step-by-step explanation:

Answer:

Parallelogram and rhombus.

Answer:

has 25, wants 130, so he needs to save (130-25)= 105.

105/7= 15 weeks

25+7w= 130

Answer:b

Step-by-step explanation:

My teacher gave me the answer

Answer:

3√2

Step-by-step explanation:

Find the diagram attached

Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees

Considering one of the right angles triangle;

Hypotenuse = x

Opposite = 3

Angle theta = 45 degrees

According to SOH CAH TOA

sin theta = opp/hyp

sin 45 = 3/x

x = 3/sin45

x = 3/(1/√2)

x = 3 * √2

x = 3√2

Hence the value of x is 3√2

Answer:

d or 4

Step-by-step explanation:

got it right correct me if im wrong, please

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

Answer:

the answer is B. 2008

Answer: b

Step-by-step explanation: