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anastassius [24]
3 years ago
5

HELP I WILL MARK BRAINLIEST AND GIVE 58 PTS

Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0
This is just a guess, but I’m very confident.
APO is equal to about DQO. The reasoning is because that if AO = DO, then A is the same distance from O as D is to O. Basically, the sides are symmetrical, therefore APO would equal DQO.
Sholpan [36]3 years ago
3 0

Answer:

\triangle APO \cong \triangle DQO by AAS congruence.

Step-by-step explanation:

Answer, along with complete proof of answer and the proof that AO=DO.

We first note that \angle POA=\angle DOQ by the Vertical Angle Theorem.

We are given that \angle APO=\angle DQO, and that PO=QO so \triangle APO \cong \triangle DQO by AAS congruence.

Because the two triangles are congruent, we also have that \boxed{AO=DO}, as desired.

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Which equation has the same solution as this equation?
lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1   , b = -16  &  c = 12

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}

x=\frac{16\pm\sqrt{256-48}}{2}

x=\frac{16\pm\sqrt{208}}{2}

x=\frac{16\pm4\sqrt{13}}{2}

x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20   and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6   and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x  = 8 + 2√13   and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8  and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0
3 years ago
What is the equation of a circle with center (9,-7) and radius 2?
kirza4 [7]

Answer:

B. (x-9)^2 + (y + 7)^2 = 4

Step-by-step explanation:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2. Hopefully you can memorize that, because it's very helpful in these problems!

(h,k) is our center, and r is our radius, so plug those values into the standard form:

(x - 9)^2 + (y + 7)2 = 2^2

2^2 = 4, so

<u>B. (x - 9)^2 + (y + 7)2 = 4 is our answer!</u>

3 0
3 years ago
A train decreased its speed by 72 miles hour in 12 minutes. Find the average change in speed per minute.
melisa1 [442]

Answer:

6 mph

Step-by-step explanation:

3 0
2 years ago
Chad bought 7 pounds of strawberries for $10.80. What was the cost, c, of 1 pound of strawberries?
never [62]
If you divide the price (10.80) by the weight (7lbs) you would get 1.54 per lbs
6 0
3 years ago
Read 2 more answers
Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which
olganol [36]

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

r \to rational number

s \to irrational number

\frac{r}{s} \to irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

r \to rational number

s \to irrational number

\frac{r}{s} \to rational number

Solving (b): When r/s is irrational is false

Given that:

\frac{r}{s} \to irrational number

Set r to 0

So:

\frac{r}{s} = \frac{0}{s}

\frac{r}{s} = 0 -- rational

<em>Hence, the statement is false when r is 0</em>

8 0
2 years ago
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