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kogti [31]
2 years ago
15

*NO 194 39% 13:08 Pilih jawaban yang paling tepat Segitiga PQR dan segitiga XYZ 5 poin merupakan dua segitiga yang kongruen. Bes

ar sudut P = besar sudut Y dan PR = YX. Pasangan sisi yang sama panjang adalah... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ Perhatikan gambar di bawah. 5 poin ABCD merupakan trapesium sama kaki. Banyak pasangan segitiga kongruen pada gambar tersebut adalah ·**. ....​
Mathematics
1 answer:
Illusion [34]2 years ago
8 0

Answer:

Option d. PQ = YZ

Step-by-step explanation:

<u><em>The question in English is</em></u>

Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

so

we have that

m\angle P=m\angle Y

PR=YX

so

Triangle PQR is congruent with Triangle YZX

That means

<em><u>Corresponding angles</u></em>

m\angle P=m\angle Y

m\angle Q=m\angle Z

m\angle R=m\angle X

<u><em>Corresponding sides</em></u>

PQ=YZ\\QR=ZX\\PR=YX

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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
Murrr4er [49]
Let's say the number of days library book is late is X, and the total fee is Y.

Liability charges $0.30 dollars as a fee for being 1 day late,

For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.

Total charge for being X days late is Y, Which means: Y= 0.30 * X.

Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X

Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.

Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.


Option four(8, 2.40) is the correct answer because it satisfies our equation;

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.


Fourth option (8, 2.40) is the only viable solution to this question.
5 0
2 years ago
Read 2 more answers
there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full.
ELEN [110]

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1  1/2

6 0
2 years ago
Read 2 more answers
The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime
Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

X[bar]~~N(μ;σ2/n)

Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

⇒α: 0.02

α/2: 0.01

Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99} =2.334

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

174.5 ± 2.334* \frac{6.9}{\sqrt{50} }

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

4 0
2 years ago
June has a credit card balance of $4,350 that comes with a 19% APR. She would like to have the balance paid off in the next 8 mo
omeli [17]
It's B on E2020, I just took the test.
3 0
2 years ago
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Tyrone's hourly wage is $18 and his net pay is 72% of his earnings Tyrone spends about $1800 on his monthly expenses if Tyrone w
allsm [11]

Answer:

The monthly cash inflow is $273.6

Step-by-step explanation:

It is given that hourly wage is $18 and his net pay is 72% of his earnings.

First, calculate the 72% of $18.

72% of his earnings is \$18\times \frac{ 72}{100}= \$12.96.

Tyrone works 40 hours per week .

The number of working hours in a month is: 40\times4=160 \text{ hours}

For 1 hour is he was getting $12.96.

For 160 hours he will get: 160\times 12.96=\$2073.6

His total monthly cash inflow is $2073.6 - $1,800=$273.6

Hence, the monthly cash inflow is $273.6

5 0
2 years ago
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