Mathematics High School

BAC ~ DEC

x = ___ units

Answers

Answer 1

Given:

[tex]\Delta BAC\sim \Delta DEC[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\Delta BAC\sim \Delta DEC[/tex]

The corresponding parts of similar triangles are proportional.

[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]

On substituting the values, we get

[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]

[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]

[tex]3(3x+5)=2x(7)[/tex]

[tex]9x+15=14x[/tex]

Subtract [tex]9x[/tex] from both sides.

[tex]15=14x-9x[/tex]

[tex]15=5x[/tex]

[tex]\dfrac{15}{5}=x[/tex]

[tex]3=x[/tex]

Therefore, the value of x is 3 units.

Related Questions

Find the area. Round to the nearest tenth.

Answers

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

Which two ordered pairs would be on the graph for the coordinates listed in the table?

Answers

Answer:

(10,54) and (11,59)

Step-by-step explanation:

those ordered pairs are the closest to one another.

fruits are packed in boxes each weighing 2 kg 500 g .how many such boxes can be n loaded kn a van.which can not carry beyond 250kg?

Answers

Answer:

Step-by-step explanation:

Just divided

Please Brainliest me

can someone help me with this please

Answers

Answer:

i have done this so its 2

Step-by-step explanation:

the answer to this is 4 !!

7-4 pls help pleasssssssssssssssse

Answers

Answer:

for what subject?

geometry

trig

algebra

Answer:

I think it's 3 but maybe ask your teacher to check :o

Step-by-step explanation:

Chen and Dave divide £350 in the ratio 3:4
ed
Work out how much money Dave gets

Answers

Answer:

£200

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of the ratio , then

4 parts = 4 × £50 = £200 ← amount Dave gets

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?

Answers

Answer:

Winston would need to sell 14 more hot dogs to earn a total $175

Step-by-step explanation:

Will give Brainliest please help!!!!!!!!!!!!!!

Answers

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and exhibitors get collected5+2= 7. I hope i helped you!

What is the value of x?

Answers

In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is [tex]\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}[/tex].

What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work

Answers

Answer:

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

Using the graph as your guide, complete the following statement.
The discriminant of the function is

Answers

Answer:

Positive

Step-by-step explanation:

Both of the roots are real numbers so that means the discrimnat is greater than zero or positive.

3. On Wednesday, a sudden snowfall delayed school busses and caused
12 of Ms. Jackson's 25 students to arrive late to class. What percent of
students made it on time? *

Answers

60% of students made it on time

Solve this system of linear equations. Separate
the x- and y-values with a comma.
16x - 2y = -8
4x + 5y = -24
Enter the correct answer

Answers

Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

Since 8 is 1/3 of 24 we can multiply 16x-2y to get 48x-6y, now we can see the two equations equal to each other. So 48x-6y= 4x+5y and you combine like variables by doing the inverse operation so you’ll get 44x= 11y. Simplified, this is 4x= y. So, now you plug in 4x for the y variable in the first equation, so you’ll get 16x- 2(4x)= -8. Then you solve for x...
16x- 8x= -8
8x= -8
x= -1

Then you plug the -1 in for the x variable and then solve... so
16(-1)- 2y= -8
-16- 2y= -8
-2y= 8
y= -4

So, overall your answer will be x= -1, y= -4

can someone please help me

Answers

Answer:

y - 4 = 3(x-3)

Step-by-step explanation:

What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

A. 44

Hope it helps!

Mark me brainliest pls.....

Follow me! :)

find the area of the figure drawn on the coordinate plane below

Answers

Answer:

-24

Step-by-step explanation:

In 9.8326, in which place is the 6?

Answers

Answer:

the ten thousands place

Step-by-step explanation:

uh no explanation too straight forward.

Answer:

the ten-thousandths place

Step-by-step explanation:

need help asapppppppppp

Answers

Answer:

201.53[tex]m^{2}[/tex]

Step-by-step explanation:

That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.

Let's first find the hexagonal base.

The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m

Solve that to find that the area of the hexagon is 93.53m^2.

Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.

6 * 6 = 36

36 / 2 = 18

Hence, the area of one triangle is 18m^2

However, there are six triangles - not just one!

6 * 18 = 108

Adding everything up:

93.53 + 108 = 201.53

The answer is 201.53m^2

solve the equation to find the value of x:

2x=5

Answers

Answer = 2.5
5 divided by 2 is 2.5

Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99

Answers

Answer:

$62.99

Step-by-step explanation:

Given data

Cost of ticket= $45.00

Fee= $17.99

Hence the expected amount she is to pay, that is the total cost of the ticket is

=45.00+17.99

=$62.99

The length and breadth of a rectangular ground is 30 m and 20 m respectively.A boy moves around the ground 5 times early morning everyday.Find the distance covered by him?

Answers

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.

pls help me my homework is due in a couple hours

Answers

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

pleaseeeee pleaseeee helppppppppp

Answers

Given:

The two vectors are:

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

To find:

The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].

Solution:

We have,

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

The cross product of these two vectors is:

[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]

Now the magnitude of the cross product is:

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]

Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].

Please help me with this

Answers

Answer:

Its B

Step-by-step explanation:

Multiply polynomials

Answers

Step-by-step explanation:

[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]

hope it helps

[tex] \huge \frak \green{question}[/tex]

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

[tex] \huge \frak \green{solution}[/tex]

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

→ 3x² + 15x²

→ 18x²

[tex] \huge \frak \red{answer}[/tex]

18x²

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?

Answers

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]

*WILL MARK BRAINLIEST*

given the inequality 4x-y<=k-6, there is a minimum value of k in order for the point (5,0) to be part of a solution. what is the minimum value?

Answers

Answer:

Step-by-step explanation:

since the question asks for a value of k where the point (5, 0) is part of a solution, plug 5 into the x value and 0 into the y value:

4x-y<=k-6

4(5)-0<=k-6

20-0<=k-6

20<=k-6

26<=k

In this case, k can be equal to any number that is greater than or equal to 26 for the point (5, 0) to be a solution, but the question asks for the minimum value of k, meaning the smallest value. since the question asks for the smallest value, the answer we're looking for is 26.

lmk if this is wrong, hope it helps!!

Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables

Answers

Answer:

9x = 120

x= [tex]\frac{43}{3}[/tex]

Step-by-step explanation:

I'll mark you brainliest if you help me with my previous math questions.

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Answer:

Step-by-step explanation:

I need help my mind don’t proses right.! f(x) = x2. What is g(x)?

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Answer:

hey will you join in zo om if your intrested

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BAC ~ DEC

x = ___ units