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Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

Answer:

14. 13x+5x

=18x

180(angles on a st. line)= 18x

180/18

=10

RSU=13*10=130

UST=5*10=50

Answer:

log 14 22,344 = 3

where 14 is the base logarithm

Step-by-step explanation:

Here, we have the base of the log as 14 and the exponent or power as 3

So we have the general form as;

Given y = a^x

Log form is log a y = x

Applying this here, we have

log 14 22,344 = 3

The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+i is a root, so 6-i is also a root.

So the simplest polynomial you can build with these roots is

(x - (-5)) (x - (6 + i )) (x - (6 - i )) = x ^3 - 7x ^2 - 23x + 185

(first choice)

Answer:

A

Step-by-step explanation:

The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.

Answer:

From 5, the arrow would be facing left and the dot on 5 would be closed

Step-by-step explanation:

Hope this helps

Answer:

[tex]V_w =1100[/tex] ---- velocity of wind

[tex]V_a = 150[/tex] --- velocity of airplane

Step-by-step explanation:

Given

[tex]V_a \to[/tex] velocity of airplane

[tex]V_w \to[/tex] velocity of wind

Flying with the wind, the distance (d) is:

[tex]d = (V_w + V_a) * t[/tex]

Where d and t are distance travel and time spent with the wind

So:

[tex]3750 = (V_w + V_a) * 3[/tex]

Divide by 3

[tex]1250 = (V_w + V_a)[/tex]

Flying against the wind, the distance (d) is:

[tex]d = (V_w - V_a) * t[/tex]

Where d and t are distance travel and time against with the wind

So:

[tex]3800 = (V_w - V_a) * 4[/tex]

Divide by 4

[tex]950 = (V_w - V_a)[/tex]

Make [tex]V_w[/tex] the subject

[tex]V_w= 950 + V_a[/tex]

Substitute: [tex]V_w= 950 + V_a[/tex] in [tex]1250 = (V_w + V_a)[/tex]

[tex]1250 = 950 + V_a + V_a[/tex]

[tex]1250 = 950 + 2V_a[/tex]

Collect like terms

[tex]2V_a = 1250 -950[/tex]

[tex]2V_a = 300[/tex]

Divide by 2

[tex]V_a = 150[/tex]

Substitute [tex]V_a = 150[/tex] in [tex]V_w= 950 + V_a[/tex]

[tex]V_w =950 +150[/tex]

[tex]V_w =1100[/tex]

Answer:

[tex]\displaystyle d = 13[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, -8)

Point (6, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

Step-by-step explanation:

x^2 －6x-8=0

Answer:

34

Step-by-step explanation:

let x = number of stamps ranu gives out and the number of stamps cathy receives

200 - x = 132 + x

combine like term s

200 - 132 = 2x

68 = 2x

x = 34

Answer:

3072 that what I known as a 10th grader

Answer:

perpendicular

Answer:

nessa resposta da 10 beijos

Answer:

x = 18

Step-by-step explanation:

The given angles are same- side exterior angles and sum to 180°, that is

6x + 5 + 3x + 13 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

Answer:

[tex]{ \tt{on \: x - axis : 3}} \\ { \tt{on \: y - axis : 0}} \\ = > \: { \tt{x, \: y}} \\ { \boxed{ \bf{substitute \: for \: x \: and \: y}}} \\ \therefore \: { \boxed{ \bf{answer : } \:{ \tt {(3, \: 0)}}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]

Answer:

[tex]{ \bf{factor : x + 2}} \\ { \tt{divisor = - 2 }} \\ { \bf{f(x) = {x}^{3} + 1 }} \\ { \bf{f( - 2) = {( - 2)}^{3} + 1}} \\ { \bf{remainder = - 7}}[/tex]

Answer:

0

Step-by-step explanation:

Because the initial value it the price the painting started at.

Hope this helped

Initial value of the painting as per equation y = 1470(1.05)t is equals to 0.

" Equation is defined as the representation of relation between two quantities using symbol of equality."

According to the question,

Given,

Equation of the given models 'y' = 1470(1.05)t

'y' represents the value of painting

't'  represents the number of years

Initial year 't' = 0 years

Substitute the value of  initial time 't' =0 in the given equation we get,

Initial value of the painting 'y' = 1470 (1.05) (0)

                                                 = 0 dollars

Hence,  initial value of the painting as per equation y = 1470(1.05)t is equals to 0.

Learn more about equation here

https://brainly.com/question/10413253

#SPJ2

Answer:[tex]3^1^1\\[/tex]

Step-by-step explanation:

[tex]\frac{81^4}{3^5}[/tex]

[tex]\frac{3^1^6}{3^5}[/tex]

The base is same power can be add or subtract

[tex]3^1^6^-^5[/tex]

[tex]3^1^1[/tex]

Answer:

4th term = 29

to generate the terms, substitute n = 2, 3, 4 into the rule

noting that b(1) = - 7

b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5

b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17

b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29

Answer:

B :) (im sure btw)

Step-by-step explanation:

Answer:

[tex]19.4 ms^{-2}[/tex]

Step-by-step explanation:

Newton second law: [tex]\vec F= m\vec a[/tex] We know the force, we know the mass, we can substitute and find the acceleration, which is [tex]61/3.2 = 19.4 ms^{-2}[/tex]

Answer:

$372.33

Step-by-step explanation:

For 1 mile= $0.45

For 827.4 miles = $0.45 x 827.4

= $372.33

10.17 seconds

hope this helps

Step-by-step explanation:

the equation is:

y= -10/3 x +5

the graph as attached

Answer:

1

2

0.5

Step-by-step explanation:

Answer:

6,230 millimeters is your answer

Answer:

155,000

159,999

Step-by-step explanation:

In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit

e.g. Rounding off 10,999 to the nearest thousand is 11,000

In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9

Answer:

116 days because 32 percent of 365 is 116

Answer:

The answer is x = -6

Step-by-step explanation:

Answer:

 =  − 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and g is y intercept

a) The gradient is the slope and we have the value as 2

b) The y-intercept here is 5

c) for slope -3 and intercept 1, the equation becomes

y = -3x + 1

Answer:

Step-by-step explanation:

4 + 3x + 5x

= 4 + 8x

Hence, coefficient of x is 8 (Ans)