All categories

1 year ago

Which equation is made true by the opposite angles theorem?

Mathematics

1 answer:

Oksana_A [137]1 year ago

4 0

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

$85\text{ + y = 3y - 15}$

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

y = 50

You might be interested in

Which equation has the same solution as x -12 = 40

bearhunter [10]

Steps to solve:

x - 12 = 40

~Ad 12 to both sides

x = 52

Best of Luck!

4 0

4 years ago

Write the value of 17 tens in standard form

lyudmila [28]

17 tens can be said as 17 x 10
So 17 x 10 is 170
170 is in standard form

3 0

4 years ago

Read 2 more answers

Find the value of x.. is the answer 103? if not how do you figure it our

scoundrel [369]

The angle diagonal to 103° is equal to 103°. So here's your equation:

(103+14x+7)°=180°

So now you can simplify:

110°+14x=180°

now subtract 110 on both sides

14x=70°

now divide by 14 on both sides

so the answer is x=5°

hope this helps

5 0

3 years ago

Can someone tell me what the intersection on the line is ??

algol13

The intersection is at (2,-1)

7 0

3 years ago

Read 2 more answers

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

3 years ago