Unit 6 Lesson 2 Cumulative Practice Problems: Problem 2 HELP

Answer: C

Step-by-step explanation: a^2 + b^2 = c^2

A. 6^2 + 8^2 = 10^2

B. 12^2 + 35^2 = 37^2

C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52   10^2 = 100)

D. 10^2 + 24^2 = 26^2

The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

For the triangle sides:

6 cm, 8 cm, and 10 cm

From the Pythagoras theorem:

[tex]10^2=8^2+6^2[/tex]

100 = 100

These sides satisfy the Pythagoras formula.

For the triangle sides:

12 cm, 35 cm, and 37 cm

From the Pythagoras theorem:

[tex]37^2=35^2+12^2[/tex]

1369 = 1369

These sides satisfy the Pythagoras formula.

For the triangle sides:

4 cm, 6 cm, and 10 cm

From the Pythagoras theorem:

[tex]10^2=6^2+4^2[/tex]

100 ≠ 52

These sides do not satisfy the Pythagoras formula.

For the triangle sides:

10 cm, 24 cm, and 26 cm

From the Pythagoras theorem:

[tex]26^2=24^2+10^2[/tex]

676 =  676

These sides satisfy the Pythagoras formula.

Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

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Answer:

X would equal 1.5

Step-by-step explanation:

if 12 divided by 2 equals 6, then you have to find what's half of 3 which is 1.5

Answer:

2.8 is correct

Step-by-step explanation:

  4.0

-   1.2

The 0 becomes 10

10 - 2 = 8

The 4 becomes 3

3 - 1 =2

2.8

John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5

Can I have brainllest

Answer:

Add to eliminate y

Step-by-step explanation:

Add to eliminate y

Answer: $.55

Step-by-step explanation:

The value of cost he received in change is,

⇒ 55 cents

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Colin bought a postcard for 45 cents.

And, he gave the cashier $1.

Since, We know that;

1 dollar = 100 cents

Hence, The value of cost he received in change is,

⇒ 100 cents - 45 cents

⇒ 55 cents

Thus, The value of cost he received in change is,

⇒ 55 cents

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Answer:

-4,1

Step-by-step explanation:

Answer:

-4,-1

Step-by-step explanation:

Answer:

The values of x and y are 23.83 and 31.1.

Step-by-step explanation:

Given that,

Perpendicular = 20 units

Angle, [tex]\theta=40^{\circ}[/tex]

We need to find the values of x and y.

Using trigonometry,

[tex]\tan(40)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(40)}\\\\x=23.83[/tex]

To find y use Pythagoras theorem,

[tex]y^2=23.83^2+20^2\\\\y=31.1[/tex]

So, the values of x and y are 23.83 and 31.1.

Answer:

$400

Step-by-step explanation:

20% = 1/5

$80 x 5 = $400

Answer:

696.8 mm^2

Step-by-step explanation:

Well first lets find the bottom part of the square first.

13*13= 169

Thats the floor

13*5= 65

Thats 1 of the sides

there are 4 sides

65*4= 260

260+169= 429

Now find the triangle

(13*10.3) / 2

You’d get 66.95

66.95 *4 since there are 4 sides

You’d get 267.80

267.8+429= 696.8

(72×4)÷3

Please solve this

Any answer you get is the Answer

Answer:96€

Step-by-step explanation:3  £c responde a 4€ então 72£ corresponde a 96 € por uma regra de três simples 72x4:3

Answer:

40%

Step-by-step explanation:

In order to calculate this probability we need to calculate the frequency of all the numbers rolled that were less than three. Since this would be numbers 1 and 2 and 1 was rolled 6 times while 2 was rolled 8 times, therefore, we add these numbers together.

6 + 8 = 14

Since we are tolled that the total number of rolls were 35, we now divide the number of rolls that were less than 3 (14 rolls) by the total number of rolls made (35 rolls). This would give us the probability of rolling a number less than 3

14 / 35 = 0.4  ... multiply by 100 to get percentage

0.4 * 100 = 40%

Answer:

6:16 :)

Step-by-step explanation:

Answer:

El orden es;

1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado

Step-by-step explanation:

Los términos dados son;

Cuadrilátero; Una forma con cuatro lados

Rombo; Un cuadrilátero con cuatro lados iguales

Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos

Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos

Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos

Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término

Por lo tanto, tenemos,

La primera forma es el cuadrilátero,

El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)

El ángulo del rombo se ajusta para dar un paralelogramo

El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo

El rectángulo se ajusta para dar un cuadrado con todos los lados iguales

Answer: C (0,-2) is one of them.

Answer:

Ten Peaches and five bananas.

Step-by-step explanation

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

Answer:

see explanation

Step-by-step explanation:

step 2 : 4x + 4 - 2x = - 6x + 6 + 14

Simplify both sides by collecting like terms ← what was done

step 3 : 2x + 4 = - 6x + 20

------------------------------------------

step 4 : 8x + 4 = 20

Subtract 4 from both sides ← what was done

8x = 16

Answer:

there is a cockroach on your screen bro

Answer:

=62°

Step-by-step explanation:

right angle = 90°

90-28=62

Answer:

[tex] x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

This kinda Questions can be easily done using the Quadratic formula or Shreedhacharya's Formula . Which is used to find the roots of a quadratic equation in Standard form of ax² + bx +c = 0 .

Wrt . Standard form ,

[tex]\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\implies x = \dfrac{-3\pm \sqrt{3^2-4(1)(5)}}{2(1)}\\\\\implies x = \dfrac{-3\pm \sqrt{9+20}}{2} \\\\\implies \boxed{\boxed{ x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}}}[/tex]

This is our required answer.

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Here's your solution

=> area of circle = πr^2

,=> area = (22/7)*6*6

=> area = 113.04 insq

=> area of sector =( πr^2*8°)/360°

=> area of sector = 2.51 insq

=> area of shaded region = 113.04 - 2.51

=> area = 110.53 in.sq

hope it helps

Answer:

First angle = x

Second angle = x - 32

We know that, complementary angles form => 90°

So,

[tex]x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = \frac{122}{2} \\ x = 61[/tex]

First angle,

=> x = 61°

Second angle

[tex]x - 32 \\ = 61 - 32 \\ = 29[/tex]

Second angle,

=> 29°

(≧▽≦)

Answer:

The new coordinates are : (5,4)

Step-by-step explanation:

Answer:

1 ± i(1/2)√2

Step-by-step explanation:

Write this quadratic in standard form:  subtract 3 from both sides.  This results in 2x^2 - 4x - 3 = 0.  Let's apply the quadratic formula.  The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.

Following the format of the quadratic formula, we get

     -(-4) ±i2√8       4 ±i2√2        

x = ----------------- = --------------- =  1 ± i(1/2)√2

               4                    4

The circumstance is about 115. 61 inches. Hope that helps!

Answer:

Interest earned= $81

Step-by-step explanation:

Giving the following information:

Athena deposits $500 into a savings account that earns 5.4% simple interest.

Number of periods= 3 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

P= principal

t= number of periods

I= 500*0.054*3

I= $81

Answer:

x=58

Step-by-step explanation:

I think it's helps you

Answer:

56.55 in.

Step-by-step explanation:

Answer:

volume= 56.55

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Answer:

19

Step-by-step explanation:

it’s the only one within Q3

Answer:

9

Step-by-step explanation:

The given two triangles must be similar by AA similarity Condition . Therefore ,

And the corresponding sides of the similar triangles are Proportional . Therefore ,

⇒ ED/ CB = AD/AB

⇒ 11/2 = 3 + x / 3

⇒ 33 = 2(3+x)

⇒ 6 + 3x = 33

⇒3x = 33 - 6

⇒ 3x = 27

⇒ x = 27/3

⇒ x = 9