21x-9+27=180 what is x?​

Answer:

[tex]Solution,\\Let~a=10in.,~b=24in.~and~c=26in.\\Semiperimeter(s) = \frac{a+b+c}{2}= \frac{10+24+26}{2} = 30in.\\Now,\\Area~of~triangle = \sqrt{s(s-a)(s-b)(s-c)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(30-10)(30-24)(30-26)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(20)(6)(4)} = \sqrt{14400}=120sq.inches[/tex]

Answer:48ft

Step-by-step explanation:

Answer:

[tex]Sum = 832[/tex]

Step-by-step explanation:

Given

See attachment

Required

Evaluate

The expression can be expressed as:

[tex]Sum = 2n + 5;\ n=1...26[/tex]

To do this, we  make use of sum of n terms of an AP.

When n = 1

[tex]2n + 5 = 2 * 1 + 5 = 7[/tex] --- T1

When n = 2

[tex]2n + 5 = 2 * 2 + 5 = 9[/tex] --- T2

When n - 26

[tex]2n + 5 = 2 * 26 + 5 = 57[/tex] --- T26

Next, we calculate d (common difference)

[tex]d = T_2 - T_1[/tex]

[tex]d = 9 - 7 = 2[/tex]

So, the sum is:

[tex]Sum = \frac{n}{2}(T_1 + T_n)[/tex]

Let n = 26

So, we have:

[tex]Sum = \frac{26}{2}(T_1 + T_{26})[/tex]

Substitute values for T1 and T26

[tex]Sum = \frac{26}{2}(7+57)[/tex]

[tex]Sum = \frac{26}{2}(64)[/tex]

[tex]Sum = 13*64[/tex]

[tex]Sum = 832[/tex]

Answer:

All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...

Step-by-step explanation:

3x+8=-4

Subtract 8 from both sides.

3x+8−8=−4−8

3x=−12

Step 2: Divide both sides by 3.

3x=−12

3       3

x=−4

Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.

The correct answer is x = -4

Step-by-step explanation:

you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12

then you divide both sides by 3, leaving you with x = -4

Answer:

a: Neither; b: Complementary

Step-by-step explanation:

Complementary= 90 degrees

Supplementary= 180 degrees

For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.

For letter b. the answer is complementary because 75 +15= 90 degrees.

Answer:

C

Step-by-step explanation:

s - 7 + 5

s - 2

Answer:

H0 : μ2004 - μ2000 = 0

Step-by-step explanation:

Given the data:

Year ________: 2000 ___ 2004

Mean ________ 27.34 ___ 48.12

Std. Dev _______10.11 ____ 19.23

Unweighted n 43 54

The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;

Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004

Null hypothesis ; H0 : μ2 - μ1 = 0

Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0

Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,

[tex]H_0; (\mu_1-\mu_2)=0[/tex]

[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]

For year                     2000         2004

Mean                          27.34          48.12

Standard Deviation   10.11          19.23

Unweighted n             43              54

Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.

Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.

To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,

[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]

Versus

[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]

As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,

[tex]H_0; (\mu_1-\mu_2)=0[/tex]

[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]

learn more about the null hypothesis here;

https://brainly.com/question/4454077

Answer (assuming it can be put in point-slope format):

[tex]y + 4 = 3(x-2)[/tex]

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex],  to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:

[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.

Answer:

Random variable set is attached as image. Please see the image

Step-by-step explanation:

The random variable W consist of all possible set of selection of two reward slips

The set consists of total 20 possible outcomes

The set is given in the image attached

Answer:

15 bags

Step-by-step explanation:

She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)

Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.

Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:

3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10/4 x 25/x

Cross multiply and it will give you 100/10x

Divide and get 10

hope this sheet helps :)

Answer:

It would bounce at 78 centimeters height

Step-by-step explanation:

The value of {x} is equivalent to 7.

Given are two triangles ΔJTU and ΔJLK.

The triangles ΔJTU and ΔJLK are similar.

We can write the proportional relation as -

{JU/JK} = {JT/JL}

{- 4 + 4x/64} = {27/72}

{- 4 + 4x/64} = 3/8

- 4 + 4x = 24

4x = 28

x = 7

Therefore, the value of {x} is equivalent to 7.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The value of x is 7.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔJKL and ΔJUT

If T and U are midpoints on JL and JK, then TU is parallel to LK.

Then ∠T=∠L (Corresponding angles)

∠U=∠K (Corresponding angles)

Hence, ΔJKL is similar to ΔJUT

Now, JT/JL = JU/JK = TU/LK

27/72 = -4+4x/64 = 36/96

9/24 = -4+4x/64 = 12/32

3/8 = -4+4x/64 = 3/8

-4+4x/64 = 3/8

-4+4x=24

4x=28

x=7

Therefore, the value of x is 7.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

Answer:

1600

Step-by-step explanation:

pls brainliest

Answer:

hope it helped have a good day mate

Answer:

3/8

divide both by 11

you get 3/8

Answer:

-3/2

Step-by-step explanation:

go up 3 and left 2

Answer:

88

Step-by-step explanation:

The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

80 minutes

35.2 km

Step-by-step explanation:

You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.

The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal

That means that

.44t = 35t + 7.2                     Subtract 0.35t  from both sides

0.44t - .35t = 7.2      

0.09 t  = 7.2                          Divide

t = 7.2/0.09

t = 80 minutes

How far apart are they from the starting point?

d = 0.44t

d = 0.44 * 80

d = 35.2 km from the starting point.

Answer:

Step-by-step explanation:

Use ratios of corresponding sides:

Substitute and solve for x:

Find the length of RS:

Answer:

Step-by-step explanation:

53.8

Answer:

f(g(x)) = 2x - 7

g(f(x)) = 2x - 2

Step-by-step explanation:

basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function

f(g(x)) = 2(x - 5) + 3

         = 2x - 10 + 3

         = 2x - 7

the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function

g(f(x)) = (2x + 3) - 5

         = 2x + 3 - 5

         = 2x -2

Answer:

1/2 b*h

Step-by-step explanation:

for rectangle it is b*h means double of that traingle

9514 1404 393

Answer:

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

  y + z = 90

  (3b -1) +(2b +6) = 90 . . . . substitute the given expressions

  5b +5 = 90 . . . . . . . . . . . . simplify

  b +1 = 18 . . . . . . . . . divide by 5

  b = 17 . . . . . . . . subtract 1

Then the angles are ...

  y = 3b -1 = 3(17) -1 = 51 -1 = 50

  z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

  W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

  X = 180 -Z = 180 -40 = 140

Then the angle measures are ...