A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.

Answer: Choice B

The vertex is (-3, 2)

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Explanation:

The vertex is the lowest point of a V shaped graph like this. If the V was upside down, then the vertex would be the highest point. The graph shows that (-3, 2) is the lowest point.

Side note: The equation for this absolute value function is y = |x+3|+2

The vertex of the absolute value function given below is (-3, 2).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Absolute value functions are of the form,

f(x) = |x|.

Here |x| means the absolute value of x.

The vertex of the absolute value function is the point where the direction of the graph changes.

From the given graph, line was having negative slope until the point (-3, 2) and then it changes the direction.

Hence the vertex of the graph is (-3, 2).

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Answer:

180-92= 88 degree

Step-by-step explanation:

180-92= 88 degree

Answer:

Supplementary angles are two angles whose sum is 180°.

92+x= 180

x= 180-92

x= 88

Answer:

u = 59

Step-by-step explanation:

The sum of the exterior angle is equal to the sum of the opposite interior angles

u+ u-19 = u+40

2u -19 = u+40

Subtract u from each side

2u-19-u = u+40-u

u-19 = 40

Add 19 to each side

u+19-19 =40+19

u = 59

Answer:

45°

Step-by-step explanation:

a triangle is 180° and we can see that it is a right angled triangle. so we just subtract 90 from the 180 then divide that 90 by 2 to get 45°

Answer:

3rd Option;

x = 4

y = 116

Step-by-step explanation:

Let's start by solving for "x" first:

=>  We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:

Side 1 = It's opposite side

=> 16 = 3x + 4

=> 16 - 4 = 3x

=> 12 = 3x

=> 12/3 = x

=> 4 = x

Now that we know x, let's find the y-value;

=> We know that opposite angles in a parallelogram are congruent, therefore we can say;

Angle 1 = It's opposite angle

=> 56 = y - 60

=> 56 + 60 = y

=> 116 = y

Hope this helps!

Answer:

Step-by-step explanation:

Volume = pi·(r^2)*h

r = radius = (5x+4)

h = height = (2x+5)

Volume = pi·(r^2)

Volume = pi·(5x+4)^2*(2x+8)

Volume = pi·(25x^2+40x+16)*(2x+8)

Volume = pi·(50x^2+80x+32+200x^2+32x+128)

Volume = pi·(250x^2+112x+160)

Answer:

just do it by Pythagoras theoram

Step-by-step explanation:

because it is a right angle

Answer:

166

Step-by-step explanation:

30+30+12+12+41+41

=166

When two tangents intersects with another tangent, the both are equal in length I think.

Answer:

20

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Follow the order of operations

The value of the expression 6(24 ÷ 3) - 2 is 46.

To evaluate the expression 6(24 ÷ 3) - 2, we follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, we simplify the expression inside the parentheses:

24 ÷ 3 = 8

Now we substitute the result back into the original expression:

6(8) - 2

Next, we perform the multiplication:

6 * 8 = 48

Finally, we perform the subtraction:

48 - 2 = 46

Therefore, the value of the expression 6(24 ÷ 3) - 2 is 46.

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Answer:

Step-by-step explanation:

Ok put it at the point (2, 3)

then from that point go up one and to the right two times then repeat

when you get to the top, go back to the point (2,3) and then from there go down one and to the left two times then repeat

Then the other one start at the point (1,-3)

then go down two from the point then move right 3

the start at the point again and move up 2 then 3 to the left

Answer:

1st Option is correct

Step-by-step explanation:

Hope it is helpful....

Answer:

the third one is the ans.

Answer:

Step-by-step explanation:pool or grass

Answer: The answer is C

Answer:

A

Step-by-step explanation:

hope this helps

-SadAlpha-

Answer:

i  took my ruler and i would say that AB is about an inch long

Step-by-step explanation:

Answer:

1,500 balloons in 20 packages

Step-by-step explanation:

75 x 20 = 1500

Answer:

-2, 7

Step-by-step explanation:

I dont know I just know the answer i am only in 5th grade plz have mercy

Answer:

[tex]D. a = 40; b=140; c = 90[/tex]

Step-by-step explanation:

[tex]a=2(20)\\\\=40[/tex]

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

[tex]b=180-40\\\\=140[/tex]

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

[tex]c=90[/tex]

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hope it helps...

have a great day!!

Answer:

I'd say about 9 weeks

Answer:

x=72°

Step-by-step explanation:

given,

DEF=216°

DF =360-216

the value of x=144/2( inscribed angle is half of its arc)

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We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.

The supplementary of 97° is (180°-97°)=83°

Answer:

36 cm³

Step-by-step explanation:

V = lwh

you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12

the remaining portion is 2 × 2 × 6 which gives a volume of 24

12 + 24 = 36 cm³

Answer:

[tex]l_d=11.28ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta=28 \textdegree[/tex]

Height of Fence  [tex]h=6 feet[/tex]

Generally the equation for Length of shadow cast by the fence  is mathematically given by

Since

Shadow cast forms a right angle triangle

 [tex]l_d=\frac{h}{tan \theta}[/tex]

 [tex]l_d=\frac{6}{tan 28}[/tex]

 [tex]l_d=\frac{6}{tan 28}[/tex]

 [tex]l_d=11.28ft[/tex]

Therefore the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high is

 [tex]l_d=11.28ft[/tex]

Answer:

The answer is below

Step-by-step explanation:

The correct question is attached.

Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.

Given the lines A, B and C. The constant of proportionality can be gotten by  getting the equation of the line.

Line A passes through (0,0) and (1, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]

The constant of proportionality between y and x is 5.

Line B passes through (0,0) and (3, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]

The constant of proportionality between y and x is 5/3.

Line C passes through (0,0) and (3, 2). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]

The constant of proportionality between y and x is 2/3.

Answer:

line c

Step-by-step explanation:

Answer:

x<1 [the answer is positive, not negative btw]

I think you forgot to put the negative sign for two of the answer choices..

Step-by-step explanation:

answer is x<1

Step-by-step explanation:

x is less than 1

Answer:

your answer is

Supplementery Angle;X=62