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Free_Kalibri [48]
3 years ago
9

Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of

triangle ABC after a 180° rotation around the midpoint of segment BC.
Part A: Explain why ABCD and ABEC are parallelograms.

Part B: Identify at least two pairs of congruent angles in the figure and explain how you know they are congruent.

Part C: Explain how to use what you know about the sum of the angles in a triangle to figure out the sum of the angles of quadrilateral ABED.
Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:equal and parallel opposite sides

Step-by-step explanation:

equal sides

parallel opposite sides

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Based on the model ​N(11541154​,8686​) describing steer​ weights, what are the cutoff values for ​a) the highest​ 10% of the​ we
yaroslaw [1]

Answer:

a) x = 1225.68

b) x = 1081.76

c)  1109.28 < x < 1198.72

Step-by-step explanation:

Given:

- Th random variable X for steer weight follows a normal distribution:

                                    X~ N( 1154 , 86 )

Find:

a) the highest​ 10% of the​ weights? ​

b) the lowest​ 20% of the​ weights? ​

c) the middle​ 40% of the​ weights? ​

Solution:

a)

We will compute the corresponding Z-value for highest cut off 10%:

                                   Z @ 0.10 = 1.28

                                    Z = (x-u) / sd

Where,

u: Mean of the distribution.

s.d: Standard deviation of the distribution.

                                   1.28 = (x - 1154) / 86

                                      x = 1.28*86 + 1154

                                      x = 1225.68

b)

We will compute the corresponding Z-value for lowest cut off 20%:

                                   -Z @ 0.20 = -0.84

                                    Z = (x-u) / sd

                                   -0.84 = (x - 1154) / 86

                                      x = -0.84*86 + 1154

                                      x = 1081.76

c)

We will compute the corresponding Z-value for middle cut off 40%:

                                    Z @ 0.3 = -0.52

                                    Z @ 0.7 = 0.52

                                    [email protected] < x < [email protected]

                       -.52*86 + 1154 < x < 0.52*86 + 1154

                                  1109.28 < x < 1198.72

7 0
3 years ago
a local high schools cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competitio
svlad2 [7]
We have:

Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm

We know the formula to find volume of cone is \frac{1}{3} r^{2}  \pi h

We need to find the radius of the base of the cone
535= \frac{\pi  r^{2}8} {3}
535*8= \pi  r^{2}
\frac{4280}{\pi}= r^{2}
r= \sqrt{ \frac{4280}{ \pi}   }
r=36.9 to the nearest one decimal place

The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
8 0
3 years ago
Which of these numbers is prime? Choose 1 answer: 3 30 63 77 E 91​
Sav [38]

Answer:

3

Step-by-step explanation:

3 is the only number here with factors of itself (3) and 1

3 0
3 years ago
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S/4-6.8=-9.8 what does s equal
Hatshy [7]
S/4-6.8=-9.8
S/4= -9.8+6.8
S/4= -3
S=-3*4
S= -12
4 0
3 years ago
Pls help its due today
Simora [160]

Answer:

the answer is a, unchecked growth

5 0
3 years ago
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