Are the ratios 1:5 and 4:20 equivalent?

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

To learn more on Triangles click:

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Answer:

"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)

Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.

There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.

Step-by-step explanation:

Answer:

y=3x+10

Step-by-step explanation:

if it passes (-2, 4) the next point will be (-1, 7) so (0, 10) will be y intercept.

Answer:

25%

Step-by-step explanation:

If you would like to know what percent of 48 is 12, you can calculate this using the following steps:

x% of 48 is 12

x% * 48 = 12

x/100 * 48 = 12      /*100/48

x = 12 * 100 / 48

x = 25%

The correct result would be C. 25%.

Answer:

121.021

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

AOB=180°

ZOB =c=31°

XOY=b= 40°

AOY= a+b =24+40  = 64°

YOZ =180-a-b -c=180-24-40-31=85°

Hope this helpsxx

Interest from first account is :

[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]

Interest form second account is :

[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]

So, total interest is :

[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]

Therefore, total interest is $77.877 .

Answer:

x = 3b - 4a

Step-by-step explanation:

Given

4a + x = 3b ( isolate x on the left side by subtracting 4a from both sides )

x = 3b - 4a

Answer:A= 1,2 B=1,2 C=-9,10

Step-by-step explanation:

For A=

To find A', reflect the triangle exactly over the y-axis. That will put your A' at (1,2)

For B=

translate the triangle clockwise around the origin, (0,0), to put B' at (1,2)

For C= Translate point C to the left 4, and up 2, so the answer is (-9,10)

Answer:

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

Step-by-step explanation:

D = -6.1, E = 9, F = 17.7

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

Answer:

X=0

Step-by-step explanation:

3x-12=2x-12

3x-2x= -12+12

x=0

Answer:

Brian thought that x 5 0 means that there is no solution

to the equation.

Step-by-step explanation:

In this question there are several important information's provided. Using these information's it is easy to get the answer to the question asked. Firstly it is already informed that the insurance agent gets a commission of 15% of the policy price for every policy sold. The agent sells a policy of $300.

Now we can write the equation as:

15% of $300 = [(15/100) * 300] dollars

                    = ( 15 * 3) dollars

                    = 45 dollars

So the agent gets a commission of $45 for selling a policy worth $300

Answer:

Las longitudes solicitadas en yardas son:

Step-by-step explanation:

Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:

Con ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:

Si:

Entonces:

Cancelamos metros y obtenemos:

En este caso, el trayecto A en yardas corresponde a 109.361 yardas. El mismo procedimiento puede aplicarse para el trayecto B:

Si:

Entonces:

Cuando se cancelan los metros se obtiene:

Así, el trayecto B en yardas corresponde a 20.231785 yardas.

Answer:2+n

Step-by-step explanation:

1. distribute parentheses

=-(-2)-(-n)

2.apply minus-plus rules

=2+n

Given the position function s(t), you can get the acceleration function by differentiating s twice:

velocity = s'(t) = -5 sin(t ) + 3 cos(3t )

acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )

Then when t = π, the particle's acceleration is

s''(π) = -5 cos(π) - 9 sin(3π)

… = -5 • (-1) - 9 • 0 = 5

Step-by-step explanation:

If water is being poured into a bucket, the amount of water inside the bucket would increase as time passes.

Hence the slope of the line should be increasing. The best answer is Graph C.

Answer: $336.40

Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.

Answer:

number b

Step-by-step explanation:

thuy should have written the ratio as 30/39

Answer:

(A) First table

___________

Input: 6, 9, 12

Output: 8, 12, 16

Step-by-step explanation:

To determine whether or not a function is a direct variation, x and y must divide evenly and have a constant factor or factor that stays the same.

B and C don't divide evenly so those are already wrong, and D is wrong because x and y do not divide by the same factor every time.

Answer:

[tex]y = 1/3x-2[/tex]

Step-by-step explanation:

General line equation:

[tex]\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

Or

[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]

where a is the slope and b is vertical displacement.

For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.

By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,

[tex]y = 1/3x - 2[/tex]

Answer:

24 cm

Step-by-step explanation:

Answer:

3(3x−2)

Step-by-step explanation:

Answer:

The correct option is;

c. Q(5, -2), S(-3, 4)

Step-by-step explanation:

In a reflection of a preimage across the x-axis of a point with coordinates (x, y), the value and sign of the x-coordinate of the image does not change while the value of the y-coordinate of the image is the same as the value of the y-coordinate of the pre-image, but with opposite sign

Therefore, we have

The coordinate of the preimage before the reflection across the x-axis = (x, y)

The coordinate of the image after the reflection across the x-axis = (x, -y)

Therefore, for the preimage point P(5, 2) before the reflection, we have the coordinate of the image point as Q(5, -2)

Similarly, or the preimage point R(-3, -4) before the reflection, we have the coordinate of the image point as S(-3, 4).

The correct option is therefore, Q(5, -2), S(-3, 4).

Answer:

40%

Step-by-step explanation:

Answer: i can’t really see but if you count backwards from 9 by 1 the answer is 3

Step-by-step explanation:

Answer:

there is a website where you can make triangles and that would get it 4 u

Step-by-step explanation: