what value of n make this equation true 12(n+6)=96

Given:

The two triangles are similar by SSS.

To find:

The value of x.

Solution:

If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.

It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

On cross multiplication, we get

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

[tex]3x+3=6x-6[/tex]

[tex]3x-6x=-3-6[/tex]

[tex]-3x=-9[/tex]

Divide both sides by -3.

[tex]x=3[/tex]

Therefore, the value of x is 3.

Answer:

Your answer is 40√3.

Answer:

3 magazines

Step-by-step explanation:

We will use ratios for this equation:

[tex]\frac{6}{18} =\frac{x}{9} \\\\18x=54\\x=3[/tex]

The number magazines you can buy with $9.00 is 3.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at Nivea's Newsstand, 6 magazines cost $18.00.

Cost of 1 magazine is 18/6

=$3

Number of magazine with $9 is 9/3

= 3

Therefore, the number magazines you can buy with $9.00 is 3.

To learn more about the unitary method visit:

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Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

3,0

Step-by-step explanation:

Answer:x+5/3

Step-by-step explanation:

Answer:

In simplified form, sin D is;

4/5

Step-by-step explanation:

The given figure and dimension parameters in the question are;

Triangle ΔDEF is a right triangle

The length of leg [tex]\overline{EF}[/tex] which is opposite side to the reference angle = 20

The length of segment [tex]\overline{ED}[/tex] which is the hypotenuse side of the right triangle ΔDEF = 25

The length of segment [tex]\overline{DF}[/tex] which is adjacent side to the reference angle = 15

By trigonometric ratios, we have;

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}[/tex]

∴ In simplified form, sin(D) = 4/5.

So

Total students

Answer:

Yes

Step-by-step explanation:

Your answer is correct :) good job and keep it up!

Answer:

$83.46

Step-by-step explanation:

24 + 54 =78

78 × 7% = 5.46

78 + 5.46 = $83.46

Answer:

im lost

Step-by-step explanation:

Answer:

i believe it would be 8

Step-by-step explanation:

hope this helps :)

Answer:

first one is 1/2

the next one is 1/2

the last one is 1/4

Step-by-step explanation:

i just did it

The probability of A will be P(A) = 1/2. The probability of B will be P(B) = 1/2. The probability of A and B will be P(A and B) =  1/4

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Event A: Rolling a number less than 4 on a number cube.

Event B: Flipping heads on a coin toss

We need to find the probability of A, the probability of B, and the probability of both A and B.

The probability of A will be

P(A) = 1/2

The probability of B will be

P(B) = 1/2

The probability of A and B will be

P(A and B) = 1/2 x 1/2

P(A and B) =  1/4

Learn more about probability here;

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Answer:

A linear equation in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, we know that the rate of change (the slope) is -5

Then we just replace a by -5

y = -5*x + b

Now we also know that this line passes through a point, and the point is (3, 0)

This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.

Replacing these values in our equation we get:

0 = -5*3 + b

0 = -15 + b

15 = b

Now we know the value of b, so we can replace it in the line equation to get:

y = -5*a + 15

Which is the complete equation of the line.

Answer:

the answer is 16

Step-by-step explanation:

Answer:

l=-5,-2

m=-3,-3

n=-6,-6

Step-by-step explanation:

Answer: 112

Step-by-step explanation:

educated guess

Answer:

Yes that is Correct.

Step-by-step explanation:

If all three pairs of corresponding sides are congruent, the triangles are congruent.

Answer:

137.6 un^2

Step-by-step explanation:

A = b * h

A = 16 * 8.6

A = 137.6

Hope this helps :)

Answer:

Area = 137.6 units

Step-by-step explanation:

The equation for the area of a parallelogram is A = bh, where b = the base and h = the height. On this parallelogram, the base is 16 and the height is 8.6. Their product is 137.6.

Answer:

C = 22cm

Step-by-step explanation:

If the radius equals to 11, then the diameter is 22 since the diameter is double of radius. They told us to use π, so the answer is 22π.

Answer:

The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.

Step-by-step explanation:

There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.

Answer:

12.5

Step-by-step explanation:

12x6 is 12 + 5 meters = 12.5m

Answer:

458435464546484845kdnh

Answer:

C. y+3=−7/5(x+2)

Step-by-step explanation:

Line is passing through the points (-2, -3) and (-7, 4).

Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5

Equation of line in the point-slope form is given as with point (-2, -3).

y - (-3) = - 7/5[x - (-2)]

y + 3 = - 7/5(x +2)

Answer:

213 sandwiches

534 soft drinks

Step-by-step explanation:

system of equations, if you want better explanation, hmu in the comments.

Answer:

320 customers

Step-by-step explanation:

Well the chart given is a huge ratio since its a sample.

you would have this ratio

41:25:43:16

You can add them all up since then you would know how much people have actually be chosen for the survey.

You’d get 125. So 125 is the sample out of 2500 so we can divide to see how much of these “125” samples are in 2500.

You’d get 20.

So there are 20 “125” samples and we’re only focusing on drama which is 16 out of 125. 20*16 would be 320.

D is correct. you’re welcome.

Answer:

B. 6 cm

Step-by-step explanation:

Answer:

a) Line M

b)Line M

c)y=1/2x+2

Step-by-step explanation:

a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)

b) Line M has a greater slope since its line is steeper

c) Use the formula y=mx+b

Use the points ( 0,1) and (-4,-1)

m(slope)= y2-y1/x2-x1

m= (-1-1)/(-4-0)

m=-2/-4

m=1/2

substitute

(0)=1/2(-4)+b

2=b(y-intercept)

y=1/2x+2

Answer:

Red line has higher intercept and slope.

The equation for the line: y= 0.5x

Step-by-step explanation:

Brainliest can only be awarded when two people have answered the question.

Answer:

the answer is 7^12

Step-by-step explanation:

7^14 ÷ 7^2

14 - 2

12