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3 years ago

X = a.) 82 b.) 98 c.) 262

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

There is a cyclic quadrilateral .

As we know that Sum of opposite angles of a cyclic quadrilateral is supplementary.

So, it becomes,

$98^\circ+x=180^\circ\\\\x=180^\circ-98^\circ\\\\x=82^\circ$

Hence, the value of x is 82°.

Therefore, Option 'a' is correct.

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A brick layer is hired to build three walls

hjlf

Answer is B because brick starts with a B

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3 years ago

Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at

Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically P=A÷D

where D is the discount factor calculated using the formula;

$\frac{(1+i)^n-1}{i(1+i)^n}$

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

$D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05$

To get the amount to pay monthly divide the loan to pay with the discount factor

$=\frac{18000}{43.05} =418.14$

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0

3 years ago

In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.

Vilka [71]

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$