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2 years ago

8

In the triangle XYZ, the measure of angle X is 68 , XY= 2.5

1 answer:

Yuliya22 [10]2 years ago

6 0

Answer: Answer:Correct option is C.) X, V, and Y are collinear points.Step-by-step explanation:Given ΔXYZ with sides YZ and YX intersected by line VW. we have to tell Which fact is not used to prove that XYZ is similar to VYW.As we know the similarity rules, to prove the two triangles similar we need to prove angles or sides congruent or in proportion.Option 1: The reflexive property showing an angle is congruent to itself helps to prove triangle congruentOption 2: The Corresponding Angles Postulate helps to prove angles are congruent.Option 3: A transversal can help prove angle congruence.From all the given options, all the three options A,B and D are related to angles congruence, only the option 3 that is X, V, and Y are collinear points is the option which does not give any result with the help of that we can prove the angles or sides congruent or we can say triangles congruent.Hence, the correct option is C.

Step-by-step explanation:

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Form a sequence that has two arithmetic means between 13 and 88.

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2 years ago

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

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Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

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Therefore, it will take 5 years for the invested amount to accrue to $6163.59

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3 years ago