True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement using a direct approach

Answer:

y - (-4) = (-1/2)(x - 8)

y + 4 = (-1/2)x + 4

y = (-1/2)x

orrrr...

-4 = (-1/2)(8) + b

-4 = -4 + b

b = 0

Well, we don't write "+ 0" because that's just extra work.

y = (-1/2)x

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Answer:

~-1.67

Step-by-step explanation:

Multiply. Note that when you multiply a negative and positive number, your answer will be negative:

5 x (-1/3) = (5 * -1)/3

Multiply, then divide:

5 * -1 = -5

-5/3 = ~-1.67 (rounded to the nearest hundredths).

~

Answer:

-5x/3

It just is, trust me.

Answer:

1 7/8 can be written as 8*1+7/8=15/8=1.875

Step-by-step explanation:

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

(x-4)^2 + (y+5)^2 = 324

Answer:

A. y=2/3x-3/2

Step-by-step explanation:

Subtract 4x over then divide both side by -6

Answer:

$0.14

Step-by-step explanation:

$15.12/9

ans/12

Step-by-step explanation:

7x^4+2xy-5y^3

+2x^4+3xy+2y^3

=9x^4+5xy-3y^3

Answer:

12-x=x+3

12-3=x+x

9=2x

9/2=x

4.5=x

Answer:

x = 3

Step-by-step explanation:

The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is

[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides

6x + 18 = 48 - 4x ( add 4x to both sides )

10x + 18 = 48 ( subtract 18 from both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Answer:

B

Step-by-step explanation:

[tex]6^{\frac{1}{4} } b^{\frac{3}{4} }c^{\frac{1}{4} }\\\\=(6^1b^3c^1)^{\frac{1}{4} }\\\\=(6b^3c)^\frac{1}{4} \\\\=\sqrt[4]{6b^3c}[/tex]

so answer is B

 [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]

To answer the question, we need to know what radicals are.

Radicals are roots of numbers. They are written in the form [tex]\sqrt[n]{x}[/tex] where n is the nth root of x.

Now given that we want to express [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] as a radical, we having using the laws of indices

[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} } = (6b^{3}c )^{\frac{1}{4} } \\6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }= \sqrt[4]{(6b^{3}c )}[/tex]

Thus, we have expressed it as a radical.

So,  [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]

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Let, first integer is x.

Therefore, other two are x+1 , x+2 .

Now, mathematical expression of given conditions is :

4x + 3 = 3(x+2)

4x + 3 = 3x + 6

x = 3.

So, the consecutive numbers are 3 , 4 and 5.

Therefore, the middle integer is 4.

Hence, this is the required solution.

Answer:(5-3)=42

Step-by-step explanation:

Hello There!!

Your answer is 21.

First, You should do is (5 ₋ 3) = 2.

Then, You need to divide 42/2 =21.

[tex]\sqrt[HopeThisHelps}[/tex][tex]^{HopeThisHelps}[/tex]

[tex]\frac{Loserbrazts}{}[/tex]

Answer:

10

Step-by-step explanation:

Sqrt((-8)^2+((-2)-4)^2)

Answer:

Step-by-step explanation:

y=mx+b

Step 1: Flip the equation.

mx+b=y

Step 2: Add -mx to both sides.

mx+b+−mx=y+−mx

b=−mx+y

Answer:

46

Step-by-step explanation:

50%=0.5

0.5*92=46

Answer:

72 cats

Step-by-step explanation:

sum the parts of the ratio, 3 + 8 = 11 parts

Divide the total by 11 to find the value of one part of the ratio.

99 ÷ 11 = 9 ← value of 1 part of the ratio, then

8 parts = 8 × 9 = 72 ← number of cats

Answer:

Answer down below!! :))

Step-by-step explanation:

For this problem, we need to ask ourselves, 7 plus what gives us 12?

7 + 5 = 12

So, therefore, X = 5

Answer:

x=5

Step-by-step explanation:

7+x=12

Minus both sides by 7

7+x=12

-7     -7

=0     =5

drop the x

x=5

I hope i could be of help to you! You're Welcome!

Answer:

B is the y-intercept. Where you start your slope.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 6x + 2 > 65

Combine like terms.

-3x + 2 > 65

Subtract 2 from both sides.

-3x > 62

Divide both sides by -3

x < -62/3

Answer:

3x - 6x + 2 > 62

→ -3x + 2 > 62

→ -3x > 62

→ x < -62/3

Answer:

B

Because the right side is double the number on the left

Answer:3

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Got it right on test

Answer:

8

Step-by-step explanation:

Answer:

d = 10

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]

Answer:

Step-by-step explanation:

1). Since, m∠2 + m∠1 = 180° [Supplementary angles]

   125° + m∠1 = 180°

   m∠1 = 180° - 125°

   m∠1 = 55°

2). Since ∠7 ≅ ∠12 [alternate interior angles]

   m∠7 = m∠12 = 37°

3). m∠3 = m∠18 = 102° [Alternate exterior angles]

4). m∠8 + m∠3 + m∠7 = 180°

    m∠8 + 102 + 37 = 180

    m∠8 = 41°

5). m∠14 = (m∠7 + m∠8) [Alternate angles]

    m∠14 = 37 + 41 = 78°

6). m∠4 = 180° - m∠3 [Linear pairs]

             = 180 - 102

             = 78°

7). m∠9 = m∠3 = 102° [Vertical angles]

8). m∠15 = m∠2 [Alternate exterior angles]

               = 125°

9). m∠5 = m∠15 [Corresponding angles]

             = 125°

10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]

     m∠10 = 180 - 125

               = 55°

10). m∠16 = m∠10 = 55° [Vertical angles]

11). m∠6 = m∠10 = 55° [Alternate interior angles]

12). m∠11 = m∠15 = 125°

13). m∠17 = m∠14 = 78° [Vertical angles]

The answers are given as follows

Given that

a║b

m∠2 = 125°

m∠12 = 37°

m∠18 = 102°

From the identity of supplementary angles

m∠1 + m∠2= 180°

So m∠1 = 180° - 125° = 55°

m∠7 =m∠12 = 37° (Interior opposite angles )

m∠3 = m∠18=102° (Alternate Exterior angles )

m∠8 = 180° - m∠3 -m∠7  = 180°- 139° = 41°

m∠14 = m∠7+ m∠8= 37° + 41° = 78° ( Alternate opposite angles)  

So m∠13 = 180° -78° = 102° (linear pair)

m∠4= 180° - m∠3  = 180° - 102° = 78°

m∠9 =180° - m∠4 = 180° - 78 = 102° (vertically opposite to m∠3)

m∠15 = m∠2 = 125° (Alternate exterior angles)

m∠5 =m∠15 = 125° (Corresponding Angles )

m∠10 =  180° -125° = 55°

m∠16 = m∠10 =55° ( Vertically Opposite Angles)

m∠6 = m∠10 =55°  (Alternate interior angles)

m∠11 = 180 ° -  m∠6° - m∠7° = 180° - 55° - 37° =  88°

m∠17 = 180° - m∠13 = 180° -102° = 78 °

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Answer:

Gray kangaroo weighs 87 kg.

Step-by-step explanation:

Total weight of the two kangaroo = 139 kg.

Let the weight of the gray kangaroo be represented by p.

Since the red kangaroo weighs 35 kg less than the gray kangaroo = (p - 35) kg.

Thus;

weight of gray kangaroo + weight of red kangaroo = 139 kg

p + (p -35) = 139

p + p -35 = 139

2p = 139 + 35

2p = 174

p = 87

The weight of the gray kangaroo is 87 kg.

Weigth of the red kangaroo = (87 - 35)

                                               = 52 kg

The gray kangaroo weighs 87 kg.

let the weight of the gray kangaroo as G.

We have,

the red kangaroo weighs 35 kg less than the gray kangaroo.

So, the weight of the red kangaroo can be represented as G - 35.

We also know that the combined weight of the red kangaroo and the gray kangaroo is 139 kg. So we can write the equation:

G + (G - 35) = 139

Combining like terms:

2G - 35 = 139

Now, let's solve for G by isolating the variable:

2G = 139 + 35

2G = 174

Dividing both sides by 2:

G = 174 / 2

G = 87

Therefore, the gray kangaroo weighs 87 kg.

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