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LenaWriter [7]
3 years ago
11

Find the value of x for which ABCD must be a parallelogram.

Mathematics
1 answer:
Inessa [10]3 years ago
3 0
Hey there!

You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.

I hope this helps!
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alfred deposited $893.78 in a savings account that earns 2.2% simple interest. What is alfreds account balance after seven years
ASHA 777 [7]
Hello!  The formula for finding simple interest is prt. That means multiply the principal (initial amount) by the rate (percentage) by time (months or years). The principal is $893.78 and the interest rate is 2.2%. 893.78 * 2.2% (0.022) is 19.66316. Do not delete that number. The time is 7 years. Now multiply that number by 7 in order to get 137.64212 or $137.64 when rounded to the nearest whole hundredth.  Now, let's add both numbers. 893.78 + 137.64 is 1,031.42. There. Alfred's balance after seven years is $1,031.42.
7 0
3 years ago
If a bill totals 123.85 with 5% tax and 18% tip what is the total bill
lianna [129]

Answer:

$152.33

Step-by-step explanation:

123.85 x 0.05 = $6.19

123.85 x 0.18 = $22.29

123.85 + 6.19 + 22.29 = $152.33

6 0
3 years ago
A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to tes
8090 [49]

Answer:

The claim is false.

Step-by-step explanation:

Given the data :

13 24 21 37 15 25 18 22 40 32

The sample mean and standard deviation can ben calculated for the given sample.

Using calculator :

Sample mean, xbar = 24.7

Sample standard deviation, s = 9.04

Sample size, n = 10

The hypothesis :

H0 : μ = 17

H1 : μ ≠ 17

The test statistic :

(xbar - μ) ÷ (s/√(n))

(24.7 - 17) ÷ (9.04/√(10))

7.7 / 2.8586990

Test statistic = 2.694

We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9

Pvalue = 0.0246

Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure

5 0
3 years ago
Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

y=x+3.......(1)\\4x+y=18.....(2)

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

4x+x+3=18\\5x=18-3\\5x=15\\x=3

substitute the value of x=3 in equation (1) we get,

y=3+3\\y=6

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0
2 years ago
Yes or no awnser pls
kifflom [539]

Answer:

No the question iant a function

5 0
2 years ago
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