Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.

Answer:

x= -4,-14

Step-by-step explanation:

Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.

Answer:

∠ DBC = 87.5°

Step-by-step explanation:

The inscribed angle DBC is half the measure of its intercepted arc, then

∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°

Answer:

Se parecen porque son proporcionales.

Step-by-step explanation:

Si le das vuelta a la figura pequeña de manera que quede en forma horizontal,  la figura es la misma, solo cambia el tamaño.

Answer:

It will take 8.73 years.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,000

Future value (FV)= $1,500

Interest rate (i)= 4.75% compounded annually

To calculate the time required for the initial investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(1,500/1,000) / (1.0475)

n= 8.73

It will take 8.73 years.

Answer:

144

Step-by-step explanation:

The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144

Answer:

C

Step-by-step explanation:

First find the equation of the circle

the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know

the distance between the center (0, 0) and the point (3,5) is the radius

distance formula d² = (x2-x1)² +(y2-y1)²  where (x1=0,y1=0) and (x2=3, y2=5)

d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²

(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle

Second check if any of the points are on the circle by substituting x and y with de given coordinates.

A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false

B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false

C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true

D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false

Answer:

96

Step-by-step explanation:

To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.

Step 1:

1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.

Step 2:

2nd digit = 4 choices.

Step 3:

3rd digit = 3 choices

Step 4:

4th digit = 2 choices

Step 5:

5th digit = 1 choice .

So the number of different 5 digit number is 4*4*3*2*1 = 96

13x + 3x + 2x = 180°

=> 18x = 180°

=> x = 180°/18

=> x = 10°

Ec is a diameter solve for x well i really dont know

Answer:

Final Answer: Statements 1, 2 and 4 are correct.

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

If this helped you please rate

Final Answer: Statements 1, 2 and 4 are correct.

The areas of the parallelogram CDEF and triangle EBF can be calculated

from which the difference between the areas can be found.

Response:

Area of the  parallelogram CDEF = CF × EB

Which gives;

Area of the  parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²

Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB

Which gives;

Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²

The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]

Which gives;

ΔA = 609 cm² - 115.5 cm² = 493.5 cm²

Learn more about the area of regular shapes here:

https://brainly.com/question/10572314

Answer:

B. {1, -4}

Step-by-step explanation:

Just rotate the screen and look at the position.

Answer:

$33.10

Step-by-step explanation:

Answer:

53 mins

Step-by-step explanation:

Answer:

1. A wingsuit pilot is not in freefall.

2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.

Step-by-step explanation:

1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.

2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.

Answer:

Take 2 points through which the line is passing.

Let it be (0, -3) and  (1, 2)

[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]

[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]

[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]

Answer:

A. 36cm

Step-by-step explanation:

When measuring it with a ruler, you will get six of the top rectangle

6 x 6 = 36

Answer:

angle 1 is 120

and I think angle 2 and 3 are 60

Answer:

46

Step-by-step explanation:

1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2

44+2=46

Answer:

2 5/7

Step-by-step explanation:

Difference in length = length of blue line - length of red line

[tex]6\frac{2}{7} - 3\frac{4}{7}[/tex]

[tex]3\frac{2-4}{7}[/tex]

Subtract 1 from the whole number and add it to 2, when 1 is added to 2 it becomes (7 + 2) = 9

= 2 5/7

Answer:

The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Step-by-step explanation:

Given

Out of five blocks i.e ABCDE, four blocks need to be drawn.

Hence the possible ways of drawing four blocks out of total set of 5 blocks is

5C4

Now, the total number of ways of arranging these selected four blocks is 4!

The total number of ways of arranging three blocks is 3!

Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Answer:20.7 ft

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

h = 112 degrees  (opposite angles are equal).

t = h = 112 degrees (corresponding angles are equal).

Answer:

135

Step-by-step explanation:

if you think about it al cicle = 360 so its 360- 225= 135

Answer:

Step-by-step explanation:

m^2(m^2+9)+20

Answer: 19°

Step-by-step explanation: 90+71= 161

180-161= 19

(correct me if i’m wrong):)