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Katarina [22]
2 years ago
12

Help pls, it’s urgent!! ASAP! (Geometry) “Compete the proof”

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0

1) \overline{AB} \cong \overline{CD}, \overline{AD} \cong \overline{CB}, \overline{AX} \perp \overline{BD}, \overline{CY} \perp\overline{BD} (given)

2) \overline{BD} \cong \overline{BD} (reflexive property)

3) \triangle ABD \cong \triangle ACDB (SSS)

4) \angle ADB \cong \angle CBY (CPCTC)

5) \angle CYB and \angle AXD are right angles (perpendicular lines form right angles)

6) \triangle CYB and \triangle AXD are right triangles (a triangle with a right angle is a right triangle)

7) \triangle AXD \cong \triangle CYB (HA)

8) \overline{AX} \cong \overline{CY} (CPCTC)

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Which point is the vertex of the angle below?
Orlov [11]

Answer:

C. F.

Step-by-step explanation:

The vertex is the point at which the lines that define the angle's amplitude meet.

In this case, they meet in point F.

4 0
3 years ago
A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cups.
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The answer is D. 5/2 is 2 1/2 15/4 is 3 3/4 and 33/8 is 4 1/8
7 0
3 years ago
Read 2 more answers
Calculate the difference between the two times.
Karolina [17]

Answer:

7 hours and 15 minutes

Step-by-step explanation:

8:15 to 3:15 is 7 hrs then just add the remaining 15 minutes to get to 3:30.

3 0
3 years ago
1. Geoff rode his bike along an 8-mile path and lost his cell phone at some random location
Elina [12.6K]

Answer:

0.3125

Step-by-step explanation:

Use definition of geometric probability:

P=\dfrac{\text{Desired Length}}{\text{Total Length}}

In your case,

Total Length = 8 miles

Desired Length = 7 - 4.5 = 2.5 miles,

so the probability is

P=\dfrac{2.5}{8}=\dfrac{25}{80}=\dfrac{5}{16}=0.3125

5 0
4 years ago
Check My Work According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data
Salsk061 [2.6K]

Complete question :

According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion

Answer:

H0 : μ = 3

H1 : μ ≠ 3

Test statistic = 1.897

Pvalue = 0.0653

fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.

Step-by-step explanation:

Given :

Sample size, n = 40

Sample mean, x = 3.6

Population mean, μ = 3

Standard deviation, s = 2

The hypothesis :

H0 : μ = 3

H1 : μ ≠ 3

The test statistic :

(xbar - μ) ÷ (s/√n)

(3.6 - 3) / (2/√40)

0.6 / 0.3162277

Test statistic = 1.897

Using T test, we can obtain the Pvalue from the Test statistic value obtained :

df = n - 1; 40 - 1 = 39

Pvalue(1.897, 39) = 0.0653

Decison region :

If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.

α = 0.05

Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.

7 0
3 years ago
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