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OLga [1]
3 years ago
6

PLEASE HELP!!! Draw two isosceles triangles, ∆ABC and ∆ADC with common base AC . Vertexes B and D are in the opposite semi-plane

s determined by AC . Draw the line segment BD . Prove: AC ⊥ BD
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0

Answer:

Statement Reason

∆ABC and ∆ADC are isosceles Given

Segment AC is a common base

to ∆ABC and ∆ADC Given

Let K be the midpoint of the base

of segment AC, then BK is the

perpendicular bisector of segment perpendicular bisector of isosceles AC. triangle property.

Also, DK is the perpendicular

bisector of segment AC. perpendicular bisector of isosceles

triangle property

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Increase £500 by 3.2% how do you work it out
yan [13]

£500·(1+3.2%)=£500 + £500·3.2%=£500 + £500·3.2/100 = £500 + £5·3.2 = £500 + £16=£516.

Green eyes.

8 0
3 years ago
The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Plz plz plz plz plz plz plz plz plz plz
Karo-lina-s [1.5K]
12 girls for every 5 boys
boys is second so it shouldb be indenomenaotr (bottom)

girls/boys

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answer is B

6 0
3 years ago
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IM GOING TO GIVE 251 POINTS TO WHOEVER ANSWER THIS PROBLEM.
Mariulka [41]

Answer:

(x^87*(x^2+4))/54

Step-by-step explanation:

4 0
2 years ago
A 50 kg ball traveling at 20 m/s would have
kolbaska11 [484]

A : 10000 J

B: 625 J

C: 2500 J

Step-by-step explanation:

Step 1:

We know that ,

Kinetic Energy is given by ((1/2) × m × V²) J

where m = Mass of substance

            V = Velocity

Step 2:

In first case, m= 50 kg, V=20 m/s

Kinetic energy = 0.5 × 50 × 20 ×20

                         =  10000 J

In second case, m= 50 kg, V=20 m/s

Kinetic energy = 0.5 × 50 × 5 ×5

                         =  625 J

In Third case, m= 50 kg, V=10 m/s

Kinetic energy = 0.5 × 50 × 10 ×10

                         =  2500 J

8 0
3 years ago
Read 2 more answers
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