What is the value of a?

What Is The Value Of A?

Answers

Answer 1

Answer:

66

Step-by-step explanation:

The sum of all of the angles in a triangle is 180. So all three angles would add up to 180:

(a + 21) + 57 + (a - 30) = 180

Combine like terms:

2a + 48 = 180

2a = 132

a = 66

Answer 2

Answer:

a+21+57+a-30=180(angle of triangle)

2a+48=180

2a=180-48

2a=132

a=132/2

a=66

then,a+21=66+21 =87

a-30=66-30 =36

Step-by-step explanation:

I think this is the answer


Related Questions

Please help thank you!!!

Answers

Acute scalene I remember from 2nd grade

x = 7x - 5 = 2x + 5​

Answers

Answer:

X = 10/9

Step-by-step explanation:

7x - 5 = 2x + 5

7x - 2x = 5 + 5

9x = 10

X = 10/9

help pls i’ll give out extra points

Answers

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

Can you help me please

Answers

Answer:

(-5, 7)

Step-by-step explanation:

Answer:

(7,-5)

Step-by-step explanation:

the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).

so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.

then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.

I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)

what is 5 times (2+8)+(12-6/3)times2

Answers

Answer:

5(2+8)+(12-6/3)2

5(10)+(12/1-6/3)2

50+(36/3-6/3)2

50+(30/3)2

50+60/3

50+20

70

Step-by-step explanation:

Answer: 70

If the equation is  [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]

[tex]5*10+(12-2)*2[/tex]

[tex]5*10+10*2[/tex]

[tex]10(5+2)[/tex]

[tex]10*7[/tex]

Answer: 70

Please mark brainliest if correct :)

Given f(x) = 3x^3 - 8x + k, and x – 1 is a factor of f(x), then what is the value
of k?

Answers

Answer:

k = 5

Step-by-step explanation:

Given that (x - h) is a factor of f(x) then f(h) = 0

Given (x - 1) is a factor of f(x), then f(1) = 0, that is

3(1)³ - 8(1) + k = 0

3 - 8 + k = 0

- 5 + k = 0 ( add 5 to both sides )

k = 5

The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),

∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.

So, 0 = 3(1) - 8(1) + k.

0 = 3 - 8 + k.

k = 5.

learn more about factor of a polynomial here :

https://brainly.com/question/28315959

#SPJ2

Marisa has studies 1 1/2 hours today.That is 3/10 of the time ahe plans on studying today.How long does Marisa plans on studying today? Need help!!!!!

Answers

Answer:

Marrisa plans on studying for 5 hours today!

Step-by-step explanation:

1.5 hours =  (3/10) of X    ...... where X is the "number of hours she plans on studying today" and OF means to multiply....

so..... 1.5 = (3/10)X

then you will solve for X!  

Multiply by 10 on both sides and you get:   15= 3X

then divide by 3 on both sides and you get your answer!   5 = X

Brainliest 5 stars Thanks!

Answers

It is 3x^3+2x+5 because once you divide it out you get that

can someone help me plz
i need #6,7,8

Answers

7. subtract 3

x=(-2)

x=2

8. 8c-4=20

add 4

8c=24

divide 8

c=3

9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]

slope -3/4 and y-intercept 9.​

Answers

Answer:

The equation would be:

Y=-3/4 + 9

Step-by-step explanation:

Hope it helps.

PLEASE HELP ASAP I FORGOT HOW TO DO THIS!

Answers

Answer:

its A

Step-by-step explanation:

Which values from the given replacement set make up the solution set of the inequality? 2b≥6;

A) { 3, 4}

B) {2, 3, 4}

C) {1, 2, }

D) {1, 2, 3}

Answers

The answer is A because the variable can’t be no lower than 3 and every other answer has 2 in it. 2•(3) is equal to 6 and 2•(4) is greater than 6 which correlates with the sign (greater than or equal to).

I need help T-T hehehehehehehe

Answers

Ummmm... Chicken nuggets??

Answer:

hehhehhe what the other guy said lol 10+9=21

Brainliest!!
Which of the following angle pairs are supplementary?

A. 40 and 50
B. 111 and 79
C. 36 and 64
D. 111 and 69

Answers

Answer:

d

Step-by-step explanation:

BC supplementary means they add up to 180 and answer d adds up to 180

HELP PLZZZZ
1.) is 67.95 an integer

2.) is 54/9 an integer

3.) is 19 an integer

4.)is 544.88 an integer

5.) is 7/6 an integer

Answers

Answer:

Step-by-step explanation:

no

no

yes

no

no

an integer is a whole number positive or negative or zero.

... ,-3,-2,-1,0,1,2,3,... are integers.

Answer:
1. Not an integer
2. Not an integer
3. Is an integer
4. Not an integer
5. Not an integer

what is x divided by 2= 4.5 Pls help with this.

Answers

Answer:

9

Step-by-step explanation:

9/2= 4.5

I need help on this, I don't get this

Answers

Answer:  x = 4

=============================================

Work Shown:

Isolate y in the first equation

2x+y = 5

y = 5-2x .... subtract 2x from both sides

y = -2x+5

Then plug this into the other equation

-3x - 5y = 3

-3x - 5( y ) = 3

-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5

-3x + 10x - 25 = 3 .... distribute

7x-25 = 3

7x = 3+25 .... adding 25 to both sides

7x = 28

x = 28/7 .... divide both sides by 7

x = 4  is the answer

-------------------------------------

Optional Section:

Use this value of x to find y

y = -2x+5

y = -2(4)+5

y = -8+5

y = -3

Then we can check our answers by plugging them into the original equations

2x + y = 5

2(4) - 3 = 5

8 - 3 = 5

5 = 5

That confirms the first equation. Repeat for the second equation

-3x - 5y = 3

-3(4) - 5(-3) = 3

-12 + 15 = 3

3 = 3

We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.

Graphing the two original equations will show that they intersect at (4, -3).

solve using substitution method.

y=5,696x+25)
y = 9.49(x+6)

please help i answered but i just want to make sure it’s correct!

Answers

Answer:

y=56.9933034497, x=.00561680186

Step-by-step explanation:

HELP ME

please help me :,(

algebra
what are the roots, and y intercept of g (x)?

f (x)=(x-2)(x+3)(x-4)(x+1)
g (x)= -f (x+3)​

Answers

Answers:

Roots of g(x) are: -1, -6, 1, -4

Y intercept of g(x) is:  24

==============================================

Explanation:

Part 1) Finding the roots of g(x)

To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.

f(x) = (x-2)(x+3)(x-4)(x+1)

0 = (x-2)(x+3)(x-4)(x+1)

(x-2)(x+3)(x-4)(x+1) = 0

x-2 = 0  or  x+3 = 0  or  x-4 = 0   or  x+1 = 0

x = 2  or  x = -3   or   x = 4   or   x = -1

Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.

Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.

The root x = 2 on f(x) moves to x = -1 on g(x). We subtract 3 from the first x value to get the second x value.The root x = -3 on f(x) moves to x = -6 on g(x). Same idea as above.The root x = 4 on f(x) moves to x = 1 on g(x).The root x = -1 on f(x) moves to x = -4 on g(x).

The four roots of g(x) are:  -1, -6, 1, -4

------------------------------------------------

Part 2) The y intercept of g(x)

Let's plug x = 0 into g(x) to see what happens

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

g(0) = -f(0+3) ... replace every x with 0

g(0) = -f(3)

We don't know f(3) yet, but we can plug x = 3 into f(x) to find out

f(x) = (x-2)(x+3)(x-4)(x+1)

f(3) = (3-2)(3+3)(3-4)(3+1)

f(3) = (1)(6)(-1)(4)

f(3) = -24

Therefore,

g(0) = -f(3)

g(0) = -(-24)

g(0) = 24

The y intercept of g(x) is 24.

Consider the equation 1.5x+4.5y=18. If we graph the equation, what is the
slope of the graph?
m= 3
m = 1.5
m = 4.5
m = -1/3

Answers

Answer:

M=-1/3

Y=-1/3x + 4

An architect planned to construct two similar stone pyramid structures in a park. The
figure below shows the front view of the pyramids in her plan, but there is an error in
the dimensions:


Which of the following changes should she make to the length of side AB to correct
her error? (6 points)

1) Change the length of side AB to 2 feet

2) Change the length of side AB to 8 feet

3) Change the length of side AB to 1 foot

4) Change the length of side AB to 4 feet

Answers

Answer:

1) Change the length of side AB to 2 feet

Step-by-step explanation:

Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.

To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]

We will assume AB is unknown.

PR = 7.5 ft

AC = 2.5 ft

PQ = 6 ft

Plug in the values into the equation

[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]

Cross multiply

[tex] AB*7.5 = 6*2.5 [/tex]

[tex] AB*7.5 = 15 [/tex]

Divide both sides by 7.5

[tex] AB = 2 [/tex]

The architect should change the length of AB to 2 ft

Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6

Answers

Answer:x = 12

because  RHMO is a rhombus => MH⊥RO

=> m∠3 = 90°

⇒ 8x - 6 = 90°

⇔ 8x = 96

⇔ x = 96/8 = 12

Step-by-step explanation:

withdraws ​$ from bank account once each day for days. What integer represents the change in the amount in the​ account? Use pencil and paper. Find the integer that would represent the change in the amount in the account if deposits ​$ into bank account once each day for days. Explain the difference between the integer for the withdrawals and the integer for the deposits.

Answers

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet,
56 feet, and 70 feet form a right triangle?
Yes, because 422 +582 702
Yes, because 422 +562 = 70.
No, because 422+562 702.
No, because 422+562 = 702.
(it's b)

Answers

Answer:

yes because 422+ 562= 70

The answer is b



That’s the answer

which of these statements is true for f(x)=3x9^x

Answers

Answer:

a

Step-by-step explanation:

Please help me I am stressed it is ratio tables

Answers

Answer:

1.

1/2/3/4/5/32

3/6/9/12/15/96

2.

1/2/3/4/5/12

8/16/24/32/96

3.

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

Erica opens a bank account to save for college. She makes an intial deposit of 3,000!Into an account that pays 3% interest compounded continuously the formula below is the appropriate model for the situation use it to determine how long it will take her to reach a balance of 8,400

Answers

Answer:

35 years

Step-by-step explanation:

A= P(1 + r)^n

A= $8400

r= 3%

n= ?

P= $3000

8400 = 3000(1 + 0.03)^n

8400/3000 = (1 + 0.03)^n

log2.8 = log (1.03)^n

log 2.8 = nlog 1.03

n=log 2.8/log 1.03

n= 35 years

is the correct rate 1.20$ per hotdog?

Answers

Answer:

true

Step-by-step explanation:

the product of -3/4 and a number x is -27. on writing the equation and solving it x=

Answers

Answer: -3/4*x=-27

x=36

Step-by-step explanation:

-3/4*x=-27

Divide on -3/4 on both sides:

-3/4/-3/4*x=-27/-3/4

x=36

what is 2x=9 I need help asap plzzzzz

Answers

Answer:

4.5

Step-by-step explanation:

2x=9

x=9/2

 =4.5

Answer:

x = 4.5

Step-by-step explanation:

[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]

Hope this helps.

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