Use proportional reasoning to determine the value of a in the proportion shown below.
25
a=1
a=25
a=10
a=15

it’s c

Answer:

x = 40

Step-by-step explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]

[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]

Cross multiply

[tex] 24(x - 25) = 9(x) [/tex]

[tex] 24x - 600 = 9x [/tex]

Subtract 24x from each side

[tex] - 600 = 9x - 24x [/tex]

[tex] - 600 = -15x [/tex]

Divide both sides by -15

[tex] 40 = x [/tex]

x = 40

Hello!

[tex]\large\boxed{\text{Yes, it does.}}[/tex]

In order to use the MVT, the function must be continuous over the given interval.

[tex]y = \frac{x^{2} }{4x}+4[/tex]

Simplifies to:

[tex]y = \frac{x}{4} + 4[/tex]

This is a linear equation that is continuous on the interval (-∞, ∞), which  means that it would also be continuous on the interval [-6, -2]. The MVT would apply to this function.

Step-by-step explanation:

x = 36

y = 48

z = 72

hope it helps

Answer:

$10.50

Step-by-step explanation:

To find how much tax is added on to the $150 we have to multiply .07 by 150.

(150)(.07) = 10.5

Therefore, Miguel will have to pay $10.50 in tax.

I hope this helps!

- Kay :)

================================

Work Shown:

For each store, divide the cost over the size to get the unit price.

Round each result to the nearest penny. We see that Eat Right Grocery has the lowest unit price, or price per pound.

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

Further explanation:

Let's look at the first row of the table. This says that 2 pounds of rice cost 2.32 dollars. We can form an equation of sorts

2 pounds = 2.32 dollars

Divide both sides by 2 to turn that "2 pounds" into "1 pound". This is because "price per pound" really means "price per 1 pound" or "price for each 1 pound"

So we get

2 pounds = 2.32 dollars

2/2 pounds = 2.32/2 dollars

1 pound = 1.16 dollars

Telling us the unit cost for Eat Right Grocery is $1.16 per pound. The other stores unit prices are calculated the same way.

Answer:

Step-by-step explanation:

perimeter = add up all sides

                = 8 + 15 + 17

                = 40 units

see image below

Step-by-step explanation:

Let's solve your equation step-by-step.

−9m2−8m−3=0

For this equation: a=-9, b=-8, c=-3

−9m2+−8m+−3=0

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

m=

−b±√b2−4ac

2a

m=

−(−8)±√(−8)2−4(−9)(−3)

2(−9)

m=

8±√−44

−18

Answer:

No real solutions.

The given equation has no real solutions.

We have given that the quadratic equation

[tex]-9m^2-8m-3=0[/tex]

For this equation: a=-9, b=-8, c=-3

[tex]-9m^2-8m-3=0[/tex]

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

Therefore we have,

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

[tex]x=\frac{-(-8)\±\sqrt{(-8)^2-4(-9)(-3)} }{2(-9)}[/tex]

[tex]x=-\frac{4}{9} -i\frac{\sqrt{11} }{9}[/tex] and [tex]x=-4/9+i\frac{\sqrt{11} }{9}[/tex]

This equation has no real solutions.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

Answer:

x=75

Step-by-step explanation:

[tex]We\ are\ given\ that:\\AD\ is\ the\ altitude\ of\ \triangle ABC\\Hence,\\ADC=90[As\ altitudes\ intersect\ the\ base\ side\ at\ 90]\\Hence,\\As\ ADC=(x+15)\ and\ ADC=90\\x+15=90\\x=90-15\\x=75[/tex]

This is only the value of x in terms of AD being an altitude, and is independent off the sides.

Answer:

96 kilograms

Step-by-step explanation:

32x3=96 just trust me I don'T know how to explain

Answer: 70

Step-by-step explanation:

Given that :

Uniform range of distribution = 50 to 100

50 ≤ x ≤ 100

Difference between both values = 100 - 50 = 50

Range / difference = computer generated value

(Weekly demand - lower limit) / difference = computer generated value

(Weekly demand - 50) / 50 = 0.4

Weekly demand - 50 = 20

Weekly demand = 20 + 50

Weekly demand = 70

The weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70

A uniformly distributed random variable's probability is distributed uniformly in the interval in which it is defined. Thus, if X ranges from a to b, and pertains uniform distribution, then its probability density function is given by;

[tex]f(x) = \dfrac{1}{b-a}; a < x < b\\\\f(x) = 0; x < a , b < x[/tex]

For the given case,  the weekly demand(let it be tracked by random variable X) is in range 50 to 100.

The computer generated value shows:

[tex]\text{Computer generated value} = \dfrac{\text{Weekly demand} - \text{Lower limit}}{\text{difference between upper and lower limit}}[/tex]

(computer generated value is showing in range 0 to 1, the part occupied by the weekly value from starting, here as it is 0.4, so it means out of 50 values, it is 0.4 = 40% of (100 -50) = 20 (from start which is 50, thus, 50 + 20  = 70) )

As we've got:

Thus, the weekly demand is obtained as:

[tex]0.4 = \dfrac{\text{Weekly demand} - 50}{50}\\\\\text{Weekly demand} = 0.4 \times 50 + 50 = 70[/tex]

Thus, the weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70

Learn more about uniform distribution here:

https://brainly.com/question/6083006

Answer:

Yes, the given figure are similar but not congruent. All the edges are making angles of 90°.

Answer:

it is on ed it is 30

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

Answer:

265

Step-by-step explanation:

since take the 100 on the left if u put 2 lying down it wont fit, about half of that would fit. So it would be about 265

Mark as brainliest plz

Answer: The answer is C.

Step-by-step explanation:  I just did this on edg 2020

It is cheaper for a customer to purchase the first plan if they make more than 300 minutes of long-distance calls. The answer is (C) 300.

Let's denote the number of minutes of long-distance calls as x. Then, the total cost of the second plan would be:

Cost of Plan 2 = $10 + $0.05x

The total cost of the first plan is always $25, regardless of the number of minutes of long-distance calls.

So we need to find the value of x at which the cost of Plan 2 exceeds the cost of Plan 1, i.e. when:

$10 + $0.05x = $25

Subtracting $10 from both sides, we get:

$0.05x = $15

Dividing both sides by $0.05, we get:

x = 300

So for values of x greater than 300, the cost of Plan 2 will exceed the cost of Plan 1.

Learn more about the equation here:

https://brainly.com/question/29616959

#SPJ1

Answer:

8

Step-by-step explanation:

Because its a 2,2

So I think I had this for Imagine Math, so here is what I got :D;

Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34

Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19

Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17

I really hope this helps :DDDDDDDD

Answer:

umm...

where's the question?

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 1 from both sides.

Let's solve your equation step-by-step.

1/3 (9x+3)=3x+1

Step 1: Simplify both sides of the equation.

1/3(9x+3)=3x+1

(1/3)(9x)+(1/3)(3)=3x+1(Distribute)

3x+1=3x+1

Step 2: Subtract 3x from both sides.

3x+1−3x=3x+1−3x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

All real numbers are solutions.

Answer:

A

Step-by-step explanation:

Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.

The measure of angle 6 is 57°

The correct answer is an option (A)

"The lines in the same plane that are at equal distance from each other and never meet."

"A line that passes through two lines in the same plane at two distinct points in the geometry. "

"The angles directly opposite to each other when two lines intersect in a plane."

For given question,

Line n and line p are parallel lines and line t is the transversal.

Here, angle 1 and angle 4 are opposite angles.

⇒ ∠1 = ∠4

We have been given that ∠1 = 123°

⇒ ∠4 = 123°

Also, angle 4 and angle 6 are interior angles on the same side of the transversal.

We know that each pair of interior angles on the same side of the transversal is supplementary.

⇒ ∠4 + ∠6 = 180°

⇒ 123° + ∠6 = 180°

⇒ ∠6 = 180° - 123°

⇒ ∠6 = 57°

Therefore, the measure of angle 6 is 57°

The correct answer is an option (A)

Learn more about the angles formed by parallel lines and transversal here:

https://brainly.com/question/16967505

#SPJ2

Answer:

C: 41°

Step-by-step explanation:

ACB ≅ BDE