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3 years ago

11

two angles are a linear pair. the measure of the first angle minus 39 is equal to twice the measure of the second angle. What ar

e both angles?

1 answer:

baherus [9]3 years ago

8 0

Step-by-step explanation:

Linear pairs = 180°!!!!!

1st angle is 2[x]-39 2nd angle is just x
soooo add the x. 3x-39=180
3x=141 x=47

X is just the second angle!!!!!

lol. i toonk geo last year and i cant believe i still remember all this hopefully i got it right!

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If 2x + y = 23 and 4x – y = 19; find the value of x – 3y and 5y – 2x

Diano4ka-milaya [45]

Answer:

- 20 and 31

Step-by-step explanation:

Solve the given equations simultaneously to find x and y

2x + y = 23 → (1)

4x - y = 19 → (2)

Adding the 2 equations term by term will eliminate y

6x + 0 = 42

6x = 42 ( divide both sides by 6 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (1)

2(7) + y = 23

14 + y = 23 ( subtract 14 from both sides )

y = 9

Then

x - 3y = 7 - 3(9) = 7 - 27 = - 20

5y - 2x = 5(9) - 2(7) = 45 - 14 = 31

3 0

3 years ago

Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows

Paul [167]

The value of cement mixer after t year is $f(t) = 54,205(0. 87)^{t}$

Given to us

The value of cement mixer when bought, $P$ = $ 54,205

the value of cement mixer after 1 year, $P_1$ = $ 47,158. 35

the value of cement mixer after 2 year, $P_2$ = $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

$P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years$

By putting the value, in the formula we get,

$P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13$

Therefore, putting the value of $r$ and $P$ in depreciation formula for $t$ years we get,

$P_n= P(1-r)^n$

$f(t) = 54,205(0. 87)^{t}$

Hence, the value of cement mixer after t year is $f(t) = 54,205(0. 87)^{t}$ .

To know more visit:

brainly.com/question/3023490

8 0

2 years ago

Mr. Nelson bought a car for $20,000 with a 5% interest rate.

MrMuchimi

Answer:

Step-by-step explanation:

do you know the answer

4 0

4 years ago

Determine the Y intercept PLEASE HELP!!<br> X Y<br> -3 -3<br> 0 -1<br> 3 1

BartSMP [9]

You are adding two each time

4 0

3 years ago

Shen borrowed $8000 at a rate of 12%, compounded semiannually. Assuming he makes no payments, how much will he owe after 7 years

Alexandra [31]

Answer:

$18,087.23

Step-by-step explanation:

The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:

FV=PV*(1+r/2)^n*2

FV is the worth of the loan in 7 years which is unknown

PV is the actual amount of loan which is $8,000

r is the rate of interest of 12%

n is the number of years of the loan which is 7 years

the 2 is to show that interest is computed twice a year

FV=8000*(1+12%/2)^7*2

FV=8000*(1+6%)^14

FV=8000*1.06^14=$18,087.23

4 0

3 years ago