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9514 1404 393

Answer:

Step-by-step explanation:

The linear pair at G totals 180°, so we have ...

  x + 2x = 180

  3x = 180 . . . . . collect terms

  x = 180/3 . . . divide by 3

  x = 60

__

The total of angles in the triangle is 180°, so ...

  x + y + 70 = 180

  60 + y + 70 = 180 . . . . substitute for x

  y = 180 -130 . . . . . . . . . subtract 130

  y = 50

Answer:

8.5g

Step-by-step explanation:

the mass decreased by 17%,so the decrease in mass 17% of 50g.17% of 50 = 0.17 × 50 =8.5 the mass decreased by 8.5g

The mass is decreased by [tex]8.5g[/tex].

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

A mass of [tex]50[/tex] g decreased by [tex]17[/tex] %.

So, in the mass [tex]17[/tex] % of [tex]50g[/tex] and of [tex]50g[/tex] is [tex]17[/tex] % is of the form:-

[tex]50=0.17[/tex] ×[tex]50=8.5[/tex]

Hence, the mass is decreased by [tex]8.5g[/tex].

To know more about the percentage

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Answer: 1,71572875

Step-by-step explanation: (4+2rad2)/3+2rad2

Answer:

6

Step-by-step explanation:

1/p = 1/(3 + 2sqrt2)

Multiplying by the conjugate (which you should pretty much always do to simplify), we get

(3-2sqrt2)/((3+2srqt)(3-2sqrt2))

which is

(3-2sqrt2)/(9-8) = 3-2sqrt2.

Therefore p + 1/p = 3+2sqrt2 + 3 - 2sqrt2 = 6

Answer:

15 is the product of the digits of the number

Step-by-step explanation:

Let the two digit number be xy

Unit digit is 2 more than ten’s digit

y - x = 2 ••••••(i)

Secondly;

x + y = (10x + y) - 27 •••••(ii)

From i, y = x + 2

Put this into ii

x + x + 2 = 10x + x + 2 - 27

2x + 2 = 11x - 25

11x - 2x = 25 + 2

9x = 27

x = 27/9

x = 3

From above;

y = x + 2

y = 3 + 2 = 5

The product of the numbers xy will be 5 * 3 = 15

9514 1404 393

Answer:

  p = 192

Step-by-step explanation:

p/8 +12 = 36 . . . . . given

p/8 = 24 . . . . . . . . .subtract 12

p = 8·24 . . . . . . . . .multiply by 8

p = 192

Answer:

37.7m

Step-by-step explanation:

Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.

We solve using Similarity Theorem

BA/AC =BD/DC

46/AD+29 = 20/29

Cross Multiply

46 × 29 =20 (AD + 29)

1334 = 20AD + 580

20AD = 1334 - 580

20AD = 754

AD = 754/20

AD = 37.7m

Answer:

1) positive 2)negative 3)negative

Step-by-step explanation:

i hope thats what your asking

Answer:

x = -1

Step-by-step explanation:

4/12 can be simplified to 1/3

1         x+2

---  = --------------

3          2x+5

Using cross products

1 ( 2x+5) = 3 (x+2)

Distribute

2x+5 = 3x+6

Subtract 2x from each side

2x+5-2x = 3x+6-2x

5 = x+6

Subtract 6 from each side

5-6 = x+6-6

-1 =x

Answer:

Step-by-step explanation:

Key skills: Proportions, One variable equations, Multiplication, Distribution Property

1) The best approach to this problem is with cross multiplication.

Cross multiplication is where we multiply the numerator of one fraction with the denominator of the other fraction, and the denominator of one fraction with the numerator of the other fraction.

2) Here we would do: 4(2x+5) and 12(x+2)

3) Since this is a proportion --> 4(2x+5) = 12(x+2)

4) Now, we use distribution property to expand both.

4(2x+5) --> 8x+ 20                      12(x+2) --> 12x+24

5) With simplifying we can solve for x:

If you plug in x=-1 back into the equation: 4/12= 1/3

4/12 does equal 1/3 so x= -1 is the right answer.

Hope you have a nice day and understood this problem explanation!! :D

Answer:

I think it's b or c because a unit rate is a ratio which the two terms are in different units

Answer:

Equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] where ([tex]x_2,y_2[/tex]) and ([tex]x_1,y_1[/tex]) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]-\frac{30}{7}[/tex]

Therefore equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]

Answer:

200

Step-by-step explanation:

y=4

Step-by-step explanation:

cube root 64

Step-by-step explanation:

Given:

7p - 6pc + 3c - 2

Find:

Number of terms

Coefficients

Constant terms

Computation:

Number of terms = 4

Coefficients = (7, -6, 3)

Constant terms = -2

Answer:

10) The first 2 on the left are functions and the one on the top right is a function, but the bottom right is not.

11) Domain = (2, 8, -1, 0) Range = (5, -2, 4, 5)

Answer: a. Each term in Bill's pattern is twice the value of the corresponding item in Jan's pattern.

Step-by-step explanation:

Jan created a pattern by adding 3 and Bill created a pattern by adding 6.

6 is twice the value of 3 so Bill's terms will be twice the value of Jan's corresponding terms as well.

To prove it:

12 is twice the value of 6

18 is twice the value of 9

24 is twice the value of 12

Answer:

(-3.5 , 8)

Step-by-step explanation:

midpoint (x , y)

x = (-5 + -2) / 2 = -7/2 = -3.5

y = (9 + 7) / 2 = 16/2 = 8

Answer:

7-(-1)

Step-by-step explanation:

Answer: Ur answer is B

Step-by-step explanation:

Answer: Since flipping a coin and rolling a 6-sided die are independent events ,thus the probability of getting head and an even number is just the product of the individual probability of events.

Let A be the event of getting a head ,and B be the event of getting an even number on die.

therefore, P(A and B)=P(A) P(B)=(1/2)*(3/6)=1/4=0.25.

Answer:

Its 31

Step-by-step explanation:

Just Use A Calculator

Answer:

12x+6y

Step-by-step explanation:

Answer:

From narrowest to widest:

1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]

2) [tex]5\cdot x^{2}-1[/tex]

3) [tex]2\cdot x^{2}+4[/tex]

4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]

Step-by-step explanation:

The "width" of the quadratic function is determined by the value of the coefficient associated by the monomial of highest grade, with respect to the primitive of the quadratic function, represented by [tex]y = x^{2}[/tex], whose ruling coefficient is 1. If the ruling coefficient of the quadratic function is greater than  one, then the curve becomes narrower at the same time that the coefficient increases. Otherwise, if the ruling coefficient of the quadratic function is greater than zero and less than 1, then the curve becomes wider at the same time that the coefficient approximates to zero.

Based on this considerations, we proceed to list the quadratic functions from the narrowest to widest:

1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]

2) [tex]5\cdot x^{2}-1[/tex]

3) [tex]2\cdot x^{2}+4[/tex]

4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]

Lastly, we include a graphic with all polynomials (tagged as 1, 2, 3, 4) in comparison primitive function (tagged as 0).

Answer:

100/60×36

=$60 is what the first one will pay

=

Step-by-step explanation:

Answer:

Isosceles and right triangle

Answer:

x = 132°

Step-by-step explanation:

sum of total exterior angles = 360°

x + 147° + 81° = 360°

x + 228° = 360°

x = 360° - 228°

x = 132°

Answer:

it's 7 divided by 10

transfer the 0 up and make it 0.7

Answer:

14.3%

Step-by-step explanation:

6400-5600=800

800/6400×100=14.3

Answer:

14.3

Step-by-step explanation: