if F is the midpoint of DE, DF =3x+5 and FE = 5x-19, Find DF

Answer:

Attachment 1 :-   x = 3/2

Attachment 2 :-  m + r = 154°

Step-by-step explanation:

Attachment 1 :-

[tex]9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\[/tex]

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

[tex]2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}[/tex]

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

       = 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

        = 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

        = 84°

So m + r = 84° + 70° = 154°

An equation is formed of two equal expressions. The value of x in the given equation is equal to 6.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved for x as shown below.

7x = 42

Divide both the sides of the equation by 7,

7x / 7 = 42/ 7

Simplifying both sides of the equation,

x = 6

Hence, the value of x in the given equation is equal to 6.

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Answer:

The correct option is (C).

Step-by-step explanation:

We need to find the correct option that does not represent y as a function of x.

In options A, B, D and E, both x and y are involved. It means we can represent y as a fucntion of x.

But in option (c), it has only y as a variable i.e.

-4y=-8

y=(8/4)

y = 2

So, this option does not represent y as a function of x.

Answer:

26

Step-by-step explanation:

If FG is 19 and GH is 7 and you are trying to find the combined length of FG and GH then add 19 and 7.

The sum of line segment FG and GH will result FH as 26.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

Given the line FH with two segment FG and GH

So,

FH = FG + GH

FH = 19 + 7

FH = (20 - 1) + 7

FH = 20 + 7 - 1

FH = 27 - 1 = 26

Hence "The sum of line segment FG and GH will result in FH as 26".

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Answer:

$5184

Step-by-step explanation:

1 per square foot =$432/1

12 square =12×$432/1

$5184

Answer:

8640

Step-by-step explanation:

Answer: It is equal to the measure of angle C.

Step-by-step explanation:

If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.

Answer:

It is equal to the measure of angle C.

Step-by-step explanation:

If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.

Answer:

The numerical answer is 5

Please see the tape diagram evolution in the attached image

Step-by-step explanation:

Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)

In the second step, join the three tapes in one long one maintaining the original divisions.

In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.

Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.

5 then tells you what is the quotient of 3 divided in 3/5

The total numbers of sections are 16.

Step-by-step explanation:

Given:

Number of boys in school = 576

Number of girls in school = 448

To find: Total Number of sections such that each section has either boys or girls.

Height Common Factor ( HCF ) of both number gives the number of students in a section.

HCF of 576 and 448

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

448 = 2 × 2 × 2 × 2 × 2 × 2 × 7

HCF = 2 × 2 × 2 × 2 × 2 × 2 = 64

Number of sections of Boys = 576/64 = 9

Number of sections of girls 448/64 = 7

Total Number of sections = 9 + 7 = 16

Therefore, The total numbers of sections are 16.

Answer:13

Step-by-step explanation: range is the biggest value - the smallest value, in this case, the biggest value= 5 and the smallest value= -8 so, 5--8= 5+8 ( when it is a minus minus it is automatically changed to a plus)= 13.

The question is incomplete:

17. Tonya's mother is 1.5 times as tall as  Tonya was when she was 6. How tall  is Tonya's mother? Use the correct  number of significant digits.

The image with the information about Tonya's height is attached.

Answer:

68 in.

Step-by-step explanation:

According to the information given, you can write the following expression:

x=1.5y

x=Tonya's mother height

y= Tony's height when she was 6

Also, you know from the table that Tonya's height when she was 6 was 45 in. and you can replace this value in the formula:

x=1.5*45

x=67.5

Because of this, the answer is that Tonya's mother height is 68 in.

Answer:

5 r 2

Step-by-step explanation:

Answer: 6

Step-by-step explanation: when you divide two negative numbers, the answer will always be positive .

Answer: 1,188 km

Step-by-step explanation:

99 x 12 = 1,188

Answer:

144x⁸y⁸

Step-by-step explanation:

Order of Operations: BPEMDAS

When you exponent an exponent, you multiply powers; when you multiply an exponent, you add powers.

Step 1: Write out expression

(-3xy³)² (4x³y)²

Step 2: Exponents

9x²y⁶(16x⁶y²)

Step 3: Multiply

144x⁸y⁸

Answer:

[tex]\large\boxed{{144x^8y^8}}[/tex]

Step-by-step explanation:

[tex](-3xy^3) ^2 (4x^3y) ^2[/tex]

[tex]\boxed{\text{Use the property: }(a^n b^m)^k= a^{nk} b^{mk}}[/tex]

[tex](9x^2y^6) (16x^6y^2)[/tex]

[tex]\text{Take } 9 \cdot 16, x^2 \cdot x^6, y^6\cdot y^2[/tex]

[tex]\boxed{\text{Use the property: }a^n a^m= a^{n+m}}[/tex]

[tex]144x^8y^8[/tex]

[tex]\therefore (-3xy^3) ^2 (4x^3y) ^2 = 144x^8y^8[/tex]

Answer:

9/10

Step-by-step explanation:

3^4/5^4 × 15^4/10^4=x^4/y^4

81/625 × 50625/10000= x^4/y^4

multiply

4100625/6250000=x^4/y^4

break it down by dividing it by 5

820125/1250000

divide by 5

164025/250000

divide by 5

32805/50000

divide by 5

6561/10000 = x^4/y^4

4√6561/4√10000=x/y

9/10= x/y

Answer:

314 cm^2

Step-by-step explanation:

pi(r^2)

r= d/2

pi= 3.14

3.14(10^2)

3.14(100)

314

Answer:

  100π cm^2

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr^2

where r represents the radius, which is half the diameter. For a circle of radius 10 cm, the area is ...

  A = π(10 cm)^2 = 100π cm^2

Answer:

0.000000861

Step-by-step explanation:

Answer:

0.0000000861

Step-by-step explanation:

I took the test. Hope this helps!

Answer:

when b=2 , a = -4.2

when b=1.5 , b=-2.5

Step-by-step explanation:

When b = 1.5

[tex]2.2a + 3.4b = 1.2a + 2.6 \\ a = \\ b = 1.5 \\ 2.2a + 3.4(1.5) = 1.2a + 2.6 \\ 2.2a + 5.1 = 1.2a + 2.6[/tex]

[tex]2.2a - 1.2a = 2.6 - 5.1 \\ a = - 2.5[/tex]

When b = 2

[tex]2.2a + 3.4(2) = 1.2a + 2.6 \\ 2.2a + 6.8 = 1.2a + 2.6[/tex]

Collect like terms and simplify

[tex]2.2a - 1.2a = 2.6 - 6.8 \\ a = - 4.2[/tex]

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

     = (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

Answer:

-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a would be the correct answer to create a rectangle

Answer:

[tex] (x - 5)^2 + (y + 2)^2 = 81 [/tex]

Step-by-step explanation:

Standard form of the equation of a circle with center (h, k) and radius r:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

Compare it to the given equation, and you get:

[tex] (x - 5)^2 + (y - (- 2))^2 = 9^2 [/tex]

[tex] (x - 5)^2 + (y + 2)^2 = 81 [/tex]

Answer:

b = 8tan30°

Step-by-step explanation:

Find the diagram of the triangle in the attachment. Using SOH CAH TOA to find the side AC which is b. Side AC will be the opposite of the triangle since it is facing the acute angle 30° and side BC will be adjacent.

Using TOA;

Tan<CBA = CA/BC

Given <CBA = 30°, BC = 8feet

CA = BCtan<CBA

CA = 8tan30° = b

Hence the equation that can be used to solve for b is 8tan30°

Answer:

B

Step-by-step explanation:

Answer:

0.25 miles per minute, travels 5 miles in 20 minutes

Step-by-step explanation:

First, we have to find out how many miles he can travel in a minute.

We know that he travels 15 miles every hour, and we know that one hour is 60 minutes.

So, we can divide 15 miles by 60 minutes in order to get his pace for miles per minute

Then we can just multiply 0.25 miles by 20 minutes

which gives us 5 miles in 20 minutes

Answer:

a/3 + 27

Step-by-step explanation:

One third is: 1/3

then:

, the expressipn is:

a/3 + 27

The required expression, that is the sum of one-third of a number, and 27 is x / 3 + 7.

Given that,
To determine the arithmetic, the sum of one-third of a number and 27.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x,
one-third of the number is = x/3,
Now according to the question,
Applying arithmetic operations,
Sum = x / 3 + 27

Thus, the required expression, that is the sum of one-third of a number and 27 is x / 3 + 7.

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Answer:

0

Step-by-step explanation:

8+56/-7x-4

8+(-8)x-4

0x-4

0

Hope this helps ;) ❤❤❤