All categories

3 years ago

PLEASE HELP ME! BRAINLEST IF CORRECT

Mathematics

2 answers:

mars1129 [50]3 years ago

5 0

Answer:

$x=147$

Step-by-step explanation:

we see that x and 33 are linear pairs so their sum is 180 degrees.

$x+33=180$

Subtract :-

$x=180-33$

$x=147$

OAmalOHopeO

Whitepunk [10]3 years ago

4 0

Answer:

x = 147

Step-by-step explanation:

33 and x form a straight line which means they add to 180

x+33 =180

x = 180-33

x = 147

You might be interested in

Write an equation for a circle with a center at (9 -2) and has a radius of 7.

fenix001 [56]

The equation of a circle is given as:

(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.

(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)

Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)

Equating equation (iv) and (iii)

x^2 + y^2 - 18x + 4y + 85 = 49

Arrange the equation:

 x^2 + y^2 - 18x + 4y + 36 = 0

I hope this helps

8 0

4 years ago

How much money must be deposited now in an

Liono4ka [1.6K]

Answer:

$\$487.48$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4$

substitute in the formula above

$1,000=P(1+\frac{0.0725}{4})^{4*10}$

$1,000=P(\frac{4.0725}{4})^{40}$

$P=1,000/(\frac{4.0725}{4})^{40}$

$P=\$487.48$

5 0

4 years ago

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

3 years ago

Read 2 more answers

The measure of an interior angle of a regular octagon is how many degrees greater than the measure of an interior angle of a reg

harina [27]

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon = 180* (n- 2 )

Here, n= number of sides

Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°

In regular octagon, all the angles are congruent,

So, measure of an interior angle of regular octagon = 1080/8 = 135°

Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°

In regular hexagon, all the angles are congruent,

So, measure of an interior angle of regular hexagon = 720/6 = 120°

The measure of an interior angle of a regular octagon is greater than the measure of an interior angle of a regular hexagon by 15°

3 0

4 years ago

The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700

OverLord2011 [107]

Answer:

Return on investment (ROI) = 7%

Step-by-step explanation:

Given:

Amount invested = $10,000

Total amount get (refund) = $10,700

Find:

Return on investment (ROI) = ?

Computation:

Amount Return = Total amount get (refund) - Amount invested

Amount Return = $10,700 - $10,000

Amount Return = $700

$Return\ on\ investment \ (ROI) = [\frac{Amount\ Return}{Amount\ invested} ]100\\\\Return\ on\ investment \ (ROI) = [\frac{700}{10,000} ]100 \\\\ Return\ on\ investment \ (ROI) =7$

Return on investment (ROI) = 7%

3 0

3 years ago