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Archy [21]
3 years ago
15

A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between non-congruent sides are cong

ruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
Mathematics
2 answers:
Step2247 [10]3 years ago
6 0

Answer:

BA≅BC Given

DA≅DC Given

ΔCBE ≅ ΔABE by SSS

ΔABD ≅ ΔCBD by SSS

∠A ≅ ∠C by CPCTC

∠B ≅ ∠D by CPCTC

Step-by-step explanation:

ch4aika [34]3 years ago
4 0
Quadrilateral ABCD is a kite AB is congruent to AD -- definition of a kite BC is congruent to DC -- definition of a kite draw a line segment AC AC is congruent to itself -- identity triangle ABC is congruent to triangle ADC -- SSS angle ABC is congruent to ADC QED
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Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that
timama [110]

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a​ 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

H-0: x bar = 24\\H_a: x bar \neq 24

(two tailed test at 5% level of significance)

24

28

24

22

25

26

26

25

 

mean 25

 

sd 3.142857143

 

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.

4 0
3 years ago
Find the missing segment in the image below
makvit [3.9K]

Answer:

The missing segment length is 20.

Step-by-step explanation:

2 is multiplied by 4 to get to 8, so 5 must be multiplied by 4 to get to 20.

7 0
3 years ago
Consider the equation n2+5=21.
lesya692 [45]

Step-by-step explanation:

n2+5=21

n2 =21-5

n2 = 16

n =16/2=8

6 0
3 years ago
Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t
harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

\frac{x}{42.56}=\frac{x+10}{72.96}

by cross multiply we get;

72.96x = 42.56(x+10)

using distributive property;a\cdot (b+c) =a\cdot b + a\cdot c

72.96x = 42.56x+425.6

Subtract 42.56x from both sides we get;

30.4x =425.6

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons


5 0
2 years ago
Read 2 more answers
Toll booths are used to collect money from drivers who use a particular road. On average, 45 cars pass through a particular toll
Free_Kalibri [48]

Answer:

skskaka

Step-by-step explanation:

T(h)=75(h+45)

3 0
3 years ago
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