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3 years ago

Please help me on this problem

Mathematics

1 answer:

Orlov [11]3 years ago

6 0

Answer:

The Proof with Figure, Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅ FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

Statements Reasons

a. ∠DAF ≅ ∠EBF ...........................Given

48. ∠DFA ≅ ∠EFB ..........................Vertical Angles are congruent

DF ≅ FE ...........................49. Given

50. Δ ADF ≅ Δ BFE .........................By Angle-Angle-Side test

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A person invests 3000 dollars in a bank. The bank pays 6.75% interest compounded

stich3 [128]

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75% semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

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

Where n=2

Using the formula

$6700=3000(1+\frac{6.75}{200})^{2t}$

$\frac{6700}{3000}=(1..03375)^{2t}$

$2.233=(1.03375)^{2t}$

Taking ln on both sides we get

$ln(2.233)=2t ln(1.03375)$

$2t=\frac{ln(2.233)}{ln(1.03375)}$

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3 years ago

What is the equation of the circle with a radius of 8 and center point at (6,-3)

Radda [10]

Answer:

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Step-by-step explanation:

Use the equation for a circle and plug in your information. Don't forget to square the radius.

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3 years ago

Write the equation of a line parallel to y=3

goldenfox [79]

The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope. The slope is the coefficient of x in the slope-intercept form: y = mx + b. m stands for the slope, and b is the y-intercept.

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3 years ago

Read 2 more answers

Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What

erma4kov [3.2K]

Answer:

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

$\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}$