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4 years ago

Help please! I'm just uncertain about what d is.

2 answers:

5 0

By the definition of supplementary angles,
a. angle 1 + angle 2 = 180 degrees
b. and angle 2 + angle 3 = 180 degrees
c. Then angle one + angle 2 = angle 2 + angle 3 = 180 degrees
d. Subtract angle 2 from each side. You get angle 1 = angle 3
e. or angle 1 ≅ angle 3

I hope that the above answer is absolutely clear to you.

zalisa [80]4 years ago

3 0

Answer:

Part a) $180\°$

Part b) $180\°$

Part c) $180\°$

Part d) Angle $3$

Part e) Angle $3$

Step-by-step explanation:

we know that

If two angles are supplementary

then

their sum is equal to $180\°$

In this problem

angle 1 and angle 2 are supplementary, and angle 2 and angle 3 are supplementary

$m$ --------> equation A

$m$ --------> equation B

equate equation A and equation B

$m$

Subtract $m$ both sides

$m$

therefore

m<1≅m<3

You might be interested in

7x + 2y =10 -7x+y=-16 Using elimination method

tatiyna

First, I would write the problem vertically because it just helps me better.

7x+2y=10
-7x+1y=-16

Then, I would add downwards.

7x+2y=10
+ -7x+1y=-16
-------------------
0x+3y=-6

Now, divide 3 from both sides.

3y=-6
--- ---
3 3

y=-2

Now, plug in -2 for y in any equation to get x.

7x+2(-2)=10

Combine like terms

7x-4=10

Add 4 to both sides

7x-4=10
+4 +4
-------------
7x=14

Divide each side by 7.

7x=14
---- ---
7 7

x=2

So your solution is
(2,-2)

To check the solution, plug in the x and y values in both equations.

7(2)+2(-2)=10
14-4=10
10=10

-7(2)-2=(-16)
-14-2=-16
-16=-16

Therefore, the solution works.
You must always plug in the x and y values into both equations to check the solution because sometimes the solution will work for one and not the other.
The solution must work to both equations in other for it to be right.

8 0

4 years ago

Need help ASAP thankyou

jonny [76]

Answer:

The only help I can give on this one is all the angles added up should be 180

Step-by-step explanation:

Hope this helps a bit :)

7 0

3 years ago

You have $500,000 saved for retirement. Your account earns 8% interest. How much will you be able to pullout each month, if you

borishaifa [10]

The rule of the payout annuity is

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

P is the initial amount

d is regular withdrawals

r is the annual rate in decimal

n is the number of periods in a year

t is the time

Since you have $500 000 saved, then

P = 500000

Since the interest is 8%, then

r = 8/100 = 0.08

Since the time is 15 years, then

t = 15

Since you want the monthly amount, then

n = 12

Substitute them in the rule to find d

$\begin{gathered} 500000=\frac{d(1-(1+\frac{0.08}{12})^{-12(15)})}{\frac{0.08}{12}} \\ 500000(\frac{0.08}{12})=d(1-(\frac{151}{150})^{-180}) \\ \frac{10000}{3}=d(1-(\frac{151}{150})^{-180}) \\ \frac{\frac{10000}{3}}{(1-(\frac{151}{150})^{-180})}=d \\ 4778.260422=d \end{gathered}$

Then you will be able to pull $4778.260422 each month

4 0

1 year ago

The sum of twice a number and 3 is equal to the sum of the number and 9

Ksivusya [100]

n - the number

The equation:

2n + 3 = n + 9 |-3

2n = n + 6 |-n

n = 6

6 0

4 years ago

In the figure below, GK is parallel to HJ What is the measure of KMI?

My name is Ann [436]

Answer:

$\huge\boxed{29 \textdegree}$

Step-by-step explanation:

In order to find the measure of angle KMI, we need to note some angle relationships here.

GK and HJ are parallel lines cut by a transversal, meaning the angles formed by this transversal line will be the same along the parallel lines.

We know that the 29° angle is an alternate interior angle to KMI. This means their angle measures are the same.

Therefore, KMI is also 29°.

Hope this helped!

8 0

3 years ago

Read 2 more answers