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sveta [45]
3 years ago
13

Write a two column proof. given: bd perpindicular to ac and bd bisects ac prove: abd = cbd

Mathematics
1 answer:
ira [324]3 years ago
6 0

1. BD is perpendicular to AC - given

2.BD bisects AC - given

3. <BDC = 90 degrees; < BDA= 90 degrees - definition of perpendicular

4. m<BDC = m<BDA - substitution property

5. m<ABD = m<CBD - definition of a bisector

6. BD = BD - reflexive property

7. ABD = CBD - Angle-side-angle congruency theorem

hope this helps at all

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According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.4 ce
stiv31 [10]

Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with \mu=23.3\ cm and \sigma=1.3\ cm.

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or​ smaller :-

P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%

Hence,  the required answer = 22.0.6%

4 0
3 years ago
Can anyone help me with these two questions
lozanna [386]
Hi there!

The linear equation would be y = 3x + 11. This is because the slope is 3, found by using the formula (y2-y1 / x2-x1). Then, we can plug in the slope and a point into y=mx+b form. Next, we can plug in 0 for x and 0 for y to figure out if the line goes through the point (0,0). Doing this, we discover that the line does not go through the point (0,0).

Hope this helps!! :)
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8 0
3 years ago
3x - y = 2<br> 3x - y = 3
expeople1 [14]

Answer:

there is no answer ( I mean this system of equations can't be solved)

Step-by-step explanation:

Because the x eliminates itself there will be no point.

6 0
3 years ago
Trigonometry help?? Thank you so much!!
liq [111]

Answer:

7) a = 60; b = 100

8) c = 20

9) d = 45

Step-by-step explanation:

7)

a + 120 = 180

a = 60

b + 80 = 180

b = 100

8)

5c + 4c = 180

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c = 20

9)

3d + d = 180

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6 0
3 years ago
Gordon recorded a temperature of -22°C, and Maki recorded a temperature of 13°C. How much warmer was the temperature that Maki r
Nikolay [14]

Answer:

35°C

Step-by-step explanation:

13+22=35

5 0
3 years ago
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