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kondor19780726 [428]
2 years ago
6

Given: AOB is a right angle

Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0

The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

<h3>How to find vertically opposite angles?</h3>

We want to prove that m∠BOC = 90°.

We are given that m∠AOB is a right angle triangle. Thus;

m∠BOC must also be equal to 90°

Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.

Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

Read more about vertical opposite angles at; brainly.com/question/24425517

#SPJ1

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Complete this statement: 20 a x 2 + 25 a x + 15 a = 5 a 20 a x 2 + 25 a x + 15 a = 5 a
liubo4ka [24]

Answer:

Step-by-step explanation:

(((22•5ax2) +  25ax) +  15a) -  5  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20ax2 + 25ax + 15a - 5  =  

 5 • (4ax2 + 5ax + 3a - 1)  

Equation at the end of step  3  :

 5 • (4ax2 + 5ax + 3a - 1)  = 0  

Step  4  :

Equations which are never true :  

4.1      Solve :    5   =  0

4 0
3 years ago
What is the volume of a rectangular prism with a length of 8 1/2 cm, width of 9 1/3 cm and a height of 12 2/5 cm?
AlekseyPX
I believe it is 864, I'm not 100% sure. But I think it is.
8 0
3 years ago
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The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 3:00?
FrozenT [24]

Answer: 90 degree angle

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4 0
3 years ago
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Can you break down how to solve the problem ?
Montano1993 [528]

Answer:

A.  y  = \frac{-5x}{2} - 1

Step-by-step explanation:

Given parameters:

Equation of the line:

       5x + 2y = 12

Coordinates = -2, 4

Unknown:

The equation of the line parallel to this line = ?

  • To solve this problem, first, we need to find the slope of the given line.

     Every linear equation have the formula:  y = mx + c

     m is the slope of the line, c is the y- intercept

           5x + 2y = 12

 Express this equation as y = mx + c

                 2y = -5x + 12

                    y = \frac{-5}{2}x  + 6

The slope of this line is \frac{-5}{2}

  • Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.

                  Slope of the line parallel is \frac{-5}{2}

  • Our new line will also take the form y=mx + c,

          Coordinates = -2, 4, x = -2 and y = 4

                     m is \frac{-5}{2}

Now let us solve for C, the y-intercept;

                     4 = - 2 x \frac{-5}{2}  + C

                      4 = 5  + C

                       C = -1

The equation of the line is therefore;

                 y  = \frac{-5x}{2} - 1

6 0
3 years ago
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