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Answer:

Measure of DE is 12

Step-by-step explanation:

Here, we want to get the measure of DE

We have two similar triangles here

BDE and BAC

if two triangles are similar, then the ratio of their sides are same

Thus, in this case, we proceed as follows;

Now, since DE cuts each side into half;

we can have AB as 2y; then BD as y

Thus, we have that;

BD/DE = AB/AC

y/4x + 4 = 2y/x + 36

2y(4x + 4) = y(x + 36)

2(4x + 4) = x + 36

8x + 8 = x + 36

8x-x = 36-8

7x = 28

x = 28/7

x = 4

recall;

DE is 4x + 4

insert x = 2

DE = 4(2) + 4

DE = 12

Answer:

The equation of the line in point-slope will be:

[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]

Step-by-step explanation:

Given the points

Finding the slope between  (4, -1) and (10, 0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(4,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:0\right)[/tex]

[tex]m=\frac{0-\left(-1\right)}{10-4}[/tex]

[tex]m=\frac{1}{6}[/tex]

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

[tex]y = mx+b[/tex]

substituting m = 1/6 and the point (4, -1)

[tex]-1\:=\:\frac{1}{6}\left(4\right)+b[/tex]

[tex]\frac{2}{3}+b=-1[/tex]

subtract 2/3 from both sides

[tex]\frac{2}{3}+b-\frac{2}{3}=-1-\frac{2}{3}[/tex]

[tex]b=-\frac{5}{3}[/tex]

now substituting b = -5/3 and m = 1/6 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{1}{6}x+\left(-\frac{5}{3}\right)[/tex]

[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]

Therefore, the equation of the line in point-slope will be:

[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]

Answer:

a(31) =125

Step-by-step explanation:

d=9-5=13-9=4

then it is an arithmetic sequence

a(n) = a1 +(n-1)d

a(n) = 5 +(n-1)4

a(31) = 5 +(31-1)4

      =125

hope this helps

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

Answer:

A

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, thus

∠ C = ∠ A = 57°

Answer:

A.

Step-by-step explanation:

Answer:

BF = 18

Step-by-step explanation:

In triangle BCD, H is the Centroid.

Centroid of a triangle divides the median in the ratio 2 : 1.

Therefore, BH : HF = 2 : 1

Let BH = 2x & HF = x

Since, HF = 6.... (given)

So, x = 6

2x = 2*6 = 12

BH = 12

Now,

BF = BH + HF = 12 + 6

BF = 18

Answer:

X < 2

If you need an explanation, feel free to leave a comment

Cheers! :)

Answer:

7 B - 50

Step-by-step explanation:

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.

Rewrite;

2x - 3y = 24

-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

Rewrite in slope-intercept form.

Multiply both sides by 3

3(y + 7) = 2(x + 3)

3y + 21 = 2x + 6

3y = 2x + 6 - 21

3y = 2x - 15

Divide both sides by 3

y = ⅔x - 5

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

so i thin is 38.00 why because te  inequality

Answer:

For every 13 rocks, there is 4 diamonds

Step-by-step explanation:

Answer:

for every 13 dogs there are 4 cats

Step-by-step explanation:

Answer:

8.33%

Step-by-step explanation:

We are told to:

Express the first quantity as a percentage of the second

a. 80cents of $9.60

The first quantity is 80 cents, the second quantity is $9.60

Step 1

We convert 80 cents to a dollar

100 cents = $1

80 cents = $x

$x = 80/100 = $0.8

Step 2

We express $0.8 as a percentage of $9.60

Hence, we have:

$0.8/$9.60 × 100

= 8.33%

Answer:

0.36

Step-by-step explanation:

Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case

From the above question:

1 pack = 1/12 of a case.

1/12 of a case = 1 pack

1 case = x packs

Cross Multiply

1/12 × x = 1 × 1

x = 1 / 1/12

x = 1 × 12/1

x = 12 packs

This means, 1 case of drinks contains 12 packs of drinks

We are also told that: a case of the drink cost 25.92

This means the cost of 12 packs of drinks = 25.92

We are also told that:

a bottle is 1/6 of pack

1/6 pack = 1 bottle

1 pack = x bottles

Cross Multiply

1/6 × x = 1 × 1

x = 1 / 1/6

x = 1 × 6/1

x =6 bottles

This means, 1 pack of drinks contains 6 bottles of drinks

Hence:

12 packs of drinks = 25.92

1 pack of drinks = x

Cross Multiply

12x = 25.92

x = 25.92/12

x = 2.16

1 pack of drinks cost 2.16= 6 bottles of drinks cost 2.16

Therefore:

6 bottles of drinks = 2.16

1 bottle of drink = x

Cross Multiply

6x = 1 × 2.16

x = 2.16/6

x = 0.36

Therefore, the price per bottle in a case is 0.36

1.Given, x={p,q}.

Now, possible subsets of x are ϕ,{p},{q},{p,q}.

2.if A = fa b, c. d, e and B of a, e, i, o, u. list the elements of B - A and also show it in a venn diagram by

shading

hope it helps

merryyyy Christmassss

happy holidays

have a great day/night

You should mark them brainliest

Answer

382.1

Step-by-step explanation:

its 5 times 76.42ft2.

plz mark as brainliest btw

Answer:

Decimal: 5.4

Fraction: 27/5

Answer:

The perimeter of the shaded region is 267.8 m ( approximately)

Step-by-step explanation:

You can check eudora's answer here, he did a good job explaining this problem: https://brainly.com/question/12440967

Answer:

10.75 tiles per square meter

Step-by-step explanation:

Here, we want to get the constant of proportionality

From the question, we are told that every square meter needs 10.75 tiles

The constant of proportionality in this case is thus;

10.75 tiles per square meter

Answer:

12

Step-by-step explanation:

Answer:

2754

Step-by-step explanation:

Answer:

9 Hours

Step-by-step explanation:

162 X 12 / 216 = 9 Hours

Answer:

No problems here!

Great Job!

Step-by-step explanation:

Answer:

$3.23

Step-by-step explanation:

Answer:

3.23

Step-by-step explanation:

32.30/10

Answer:

B

Step-by-step explanation:

For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.

Answer:

Step-by-step explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function  f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12

Answer:

Answer:

[tex]\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given that:

10 number of blocks which have numbers from 1 through 10.

To find:

Probability of randomly choosing a block that has an even number.

Solution:

The given set of numbers is: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

There are a total of 5 Even numbers are {2, 4, 6, 8, 10}.

And There are a total of 5 Odd number are {1, 3, 5, 7, 9}.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, Event E is randomly choosing an even number.

Number of favorable cases = 5

Total number of cases = 10

Therefore, the required probability is:

[tex]P(E) = \dfrac{5}{10}\\\Rightarrow P(E) = \dfrac{1}{2}[/tex]