Consider the statement: “In a triangle, the measure of an
exterior angle is always greater than the measure of the
adjacent interior angle."
Which of the following would serve as a counterexample?

Answer:

b = 3Vh

Step-by-step explanation:

When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.

V = 1/3bh

(V)(3) = (1/3bh)(3)

3V = bh

(3V)/h = (bh)/h

3Vh = b

b = 3Vh

Answer:

Direction

Step-by-step explanation:

poop

Answer:189.25 cm  189.3 cm if rounded to one decimal point

Step-by-step explanation:

You need to find the area of the rectangle, then the area of 1/2 the circle.

Rectangle Area =

L x w =

10 x 15 = 150cm

Circle Area =

A=πr^2 =

Diameter = 10, so radius = 5

π(5)^2 = 25π = (25)(3.14) = 78.5

Area of 1/2 Circle = 78.5/2 = 39.25

150 + 39.25 = 189.25 cm

Answer:

1.C 2.D

Step-by-step explanation:

Answer:

1 is C and 2 is D

Step-by-step explanation:

Answer:

The answer is explained below

Step-by-step explanation:

y = kx

A) y is directly proportional to x

When two terms are directly proportional to each other, it means that as one term increases, the other term also increases. Also as one term decreases, the other term also decreases.

If y is directly proportional to x, and k is the constant it can be represented by the equation:

y = kx

y = k/x

C) y is inversely proportional to x

When two terms are inversely proportional to each other, it means that as one term increases, the other term also decreases. Also as one term decreases, the other term increases.

If y is inversely proportional to x, and k is the constant it can be represented by the equation:

y = k/x

Answer:

A B and D but don’t quote me on it

Step-by-step explanation:

Answer:

PD is the answer

Step-by-step explanation:

(PA) (PC) = (PB) (PD)

Equation: [tex] 4x\degree + 2x\degree = 180°[/tex]

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

[tex] \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

[/tex]

Answer:

1/12. What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72°.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1/4 is equal to 0.25. 3/4 is equal to 0.75.

8.25 divided by 0.75.

11

Answer:

168.75ft

Step-by-step explanation:

We can just multiply by the scale

2.25*75=168.75

The actual height of the tree is 168.75 ft.          

The height is defined as the measurement of the distance of an object from the base to the top.

Here, Given

Height of tree (in drawing) = 2.25 inches

Scale is given ; 1 inch = 75 ft.

       so, 2.25 inches = 2.25 X 75 ft.

                                  ≈ 168.75 ft.

Thus, the actual height of the tree is 168.75 ft.

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Answer:

A cofunction is whenever A and B are completmentary angles.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

47.3 grams

Step-by-step explanation:

Given: A solution contains 4.3 grams of salt per liter.

To find: Amount of salt in 11 liters of the solution

Solution:

Amount of salt in 1 liter of the solution = 4.3 grams

So, amount of salt in 11 liters of the solution = 11 × Amount of salt in 1 liter of the solution = 11 × 4.3 = 47.3 grams

Hence, 11 liters of the solution contains 47.3 grams of salt.

Answer: 47.3

Step-by-step explanation: Khan Academy

Answer:

-3

Step-by-step explanation:

2x-1=4x+5

-1=2x+5

-6=2x

x=-3

Answer:

x = -3

Step-by-step explanation:

Solve for x:

2 x - 1 = 4 x + 5

Subtract 4 x from both sides:

(2 x - 4 x) - 1 = (4 x - 4 x) + 5

2 x - 4 x = -2 x:

-2 x - 1 = (4 x - 4 x) + 5

4 x - 4 x = 0:

-2 x - 1 = 5

Add 1 to both sides:

(1 - 1) - 2 x = 1 + 5

1 - 1 = 0:

-2 x = 5 + 1

5 + 1 = 6:

-2 x = 6

Divide both sides of -2 x = 6 by -2:

(-2 x)/(-2) = 6/(-2)

(-2)/(-2) = 1:

x = 6/(-2)

The gcd of 6 and -2 is 2, so 6/(-2) = (2×3)/(2 (-1)) = 2/2×3/(-1) = 3/(-1):

x = 3/(-1)

Multiply numerator and denominator of 3/(-1) by -1:

Answer: x = -3

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7

The total cost in pounds in this;

20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place

Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

Answer:

(5x+2)(3x-2)

Step-by-step explanation:

15x^2-4x-4

= 15x^2+6x-10x-4

= 3x(5x+2) - 2(5x+2)

= (5x+2)(3x-2)

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....

Answer:

F(x)= -7

Step-by-step explanation:

f(-3)=4(-3)+5

F(-3)=  - 12 + 5

F(x)= -7

Hope this helps

Answer:

f(-3)= -7

Step-by-step explanation:

To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.

f(x)=4x+5

Therefore, we can substitute -3 in for x.

f(-3)=4(-3)+5

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 4 and -3

f(-3)=-12+5

Add -12 and 5

f(-3)= -7

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

Answer:

D. 13 Units

Step-by-step explanation:

I just took the test

Answer:

The missing justification is the transitive property.

Step-by-step explanation:

The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.

The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. The missing justification is the transitive property of equality.

The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. For Example,

A = B and B = C, then,

A = C

Given ∠A≅∠B and ∠C≅∠B therefore, using the transitive property of equality we can write ∠A≅∠C.

Hence, the missing justification is the transitive property of equality.

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Answer:

o preço da cozinha era 106,20 reais.

Step-by-step explanation:

porque 590-16% e iqual a 106,20 reais  

foi o retirar o IGV

Answer:

Step-by-step explanation:

Diameter = 18cm

18 / 2 = Radius

Radius = 9cm

Formula: A=2πrh+2πr^2

2 x pi x 9 x 0.3 + 2 x pi x 9^2 = 525.90261

Nearest hundredth = 525.90

Answer:

a

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x = [tex]\frac{20}{tan15}[/tex] ≈ 74.6 ft ( to the nearest tenth of a foot )

Answer:

[tex] - 1[/tex]

Step-by-step explanation:

[tex](-5 + 3i) \times (1 - 2i) \\ ( - 5 + 6) \times (1 - 2) \\ ( 1) \times ( - 1) \\ = - 1[/tex]

Answer:

A. $ (5 + 2x), B. = $ 305

Step-by-step explanation:

x miles

A. cost for x miles = 5 + 2x ($)

B. cost for 150 miles = 5 + 2*150 =305 ($)

Answer:

A. let the mile driven = x

5 + 2x

B. × = 150 mile

taxi service = $5 + $2(150)

= $305

*in an equation u dont have to write the symbol . for example, $, ml, km, etc.

Answer:

y = (x + 3)² - 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

To obtain this form use the method of completing the square

Given

y = x² + 6x + 2

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 2

  = (x + 3)² - 7

Answer:

5.2 feet.

Step-by-step explanation:

The useful equation to use for this problem is sine. Given the angle of measure 64 degrees, we have O (opposite) and H (hypotenuse).

From SOH CAH TOA, we see that we have O and H, so thus we should use sine.

Sine of any angle= opposite/hypotenuse.

Sine of 64= x/5.8

Sine of 64 (times 5.8)=x

x= 5.2 feet.

Additionally, you could use a right triangle calculator to solve for side x.

Answer:

Step-by-step explanation:

sin 64=x/5.8

x=sin64* 5.8

x=0.92*5.8

x=5.3

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer:

100 N

Step-by-step explanation:

f= 0.05*2000=100 N

Answer:100

Step-by-step explanation: