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Inessa05 [86]
3 years ago
5

Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true? A. `"m"/_A +"m"/_B = "m"/_C + "m"/_D

` B. `"m"/_A + "m"/_C = "m"/_B + "m"/_D ` C. `"m"/_A + "m"/_D = "m"/_B + "m"/_C` D. `"m"/_A + "m"/_B = 2("m"/_C + "m"/_D) `
Mathematics
1 answer:
pogonyaev3 years ago
3 0

Opposite angles of an inscribed quadrilateral are supplementary, so it is true that ...

... B. m∠A + m∠C = m∠B + m∠D . . . . . = 180°

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Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many w
ZanzabumX [31]

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

20w+40=700

Let us subtract 40 from both sides of equation.

20w+40-40=700-40

20w=660

Upon Dividing both sides of our equation by 20 we will get,

\frac{20w}{20}=\frac{660}{20}

w=\frac{660}{20}

w=33

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

6 0
3 years ago
Solve the system.<br> 3x + 4y = 7<br> 2x-y=1<br> What does x and y equal
emmainna [20.7K]

Answer:

x=1 y=1

Step-by-step explanation:

Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7

(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1

5 0
2 years ago
Two angles are supplementary. The first angle has 20 degreesmore the second angle. How ma y degrees are in each angle?
Vanyuwa [196]

Answer:

100 and 80

Step-by-step explanation:

Let x = be the first angle

x-20 is the second angle

They are supplementary so they add to 180

x+x-20 = 180

Combine like terms

2x-20 =180

2x-20+20 =180+20

2x= 200

Divide by 2

2x/2 = 200/2

x= 100

The first angle is 100 and the second is x-20

x-20 = 100-20=80

The two angles are 100 and 80

3 0
3 years ago
Show that (x-5) is a factor of x^3-3x^2-13x+15
mario62 [17]

Answer:

sorry not in that grade

Step-by-step explanation:

6 0
3 years ago
On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.
andrew-mc [135]

Answer:

There are 180 degrees in a triangle so it is 80 degrees

4 0
2 years ago
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