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UNO [17]
3 years ago
8

Can someone help me with these questions? i’m so lost

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

Q.5 ab=cd

Q.6 ad=bc

Q.7 ce=ae

Q.8 eb=ed

Q.9 angle D=angle B (opposite angle of parallelogram are equal)

let other angle of parallelogram be x.

angle A+angle B +angle C + angle D= 360° (sum of quadrilateral is 360°)

x+130°+x+130°=360°

2x+260°=360°

2x=360°-260°

2x=100°

x=100/2

x=50°

Q.10 similarly, angle b= angle d

let other angle be x.

x+61°+ x+61°=360°

2x+122°=360°

2x=360°+122°

2x=238°

x=238°/2

x=119°

Q.11 in quadrilateral opposite angles are equal and opposite angle of parallelogram are equal.

Q.12 in quadrilateral opposite angle are equal and opposite angle of parallelogram are equal.

Q.13 in quadrilateral opposite sides are equal and opposite sides are parellel and this property is also present in parallelogram.

q.14 in quadrilateral diagonal bisected each other and diagonal of parallelogram also bisect each other.

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Your parents will retire in 19 years. They currently have $350,000 saved, and they think they will need $800,000 at retirement.
patriot [66]

Answer:

<em>The annual interest is 6.77%</em>

Step-by-step explanation:

<u>Simple Interest</u>

Definition: Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to form the new principal, simple interest only considers the principal to calculate the interest in every period.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Your parents will retire in t = 19 years. They have P=$350,000 in their savings account and they need to have $800,000 when they retire.

The interest earned is the difference between the final balance and the principal:

I = $800,000 - $350,000 = $450.000

Solving the first equation for r:

\displaystyle r=\frac{I}{P.t}

Substituting:

\displaystyle r=\frac{450,000}{350,000\cdot 19}

Calculating:

r = 0.0677

Or, equivalently:

r = 6.77%

The annual interest is 6.77%

5 0
3 years ago
What is the output for the equation: y = -3x - 7?
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-10x -3-7=10 (which would be negative) then add the “x”
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Which is the solution to the system of equations?
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Answer:

these may help you

Step-by-step explanation:

www.       math   way     .com

www.     web   math      .com

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Step-by-step explanation:

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Step-by-step explanation:

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