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1 year ago

The figure shows secants LH and and tangent J intersecting at point L. AHIL is a right triangle. Find m/HLJ, which is

Mathematics

1 answer:

exis [7]1 year ago

3 0

The values of x and y from the given diagram are 47 ad 86 degrees respectively

<h3>Circle theorem</h3>

From the given circle, the triangle HJL is a right triangle.

Determine the value of y

43 = 1/2 <y

<y = 43 * 2

<y = 86 degrees

Since the sum of angle on a straight line is 180 degrees, such that;

x+90+43 = 180

x + 133 = 180

x = 47 degrees

Hence the values of x and y from the given diagram are 47 ad 86 degrees respectively

Learn more on circle theorem here: brainly.com/question/26594685

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Generalize the pattern by finding the nth term.

Veseljchak [2.6K]

Answer:

4n+2

Step-by-step explanation:

The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_{n}=a_{0}+(n-1)d$

where a_n is the nth term, a_0 is the first term and d is the common difference between them.

We know that

$a_{0}=6\\d=4$

Putting the value in general formula:

$a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2\\$

So the generalized pattern is 4n+2 ..

6 0

2 years ago

Round each number to the nearest ten. What is the best estimate for the answer to 343.42 – 39.87?

Nikolay [14]

So I would round it to 340 and 40 because if the number is lower than 5 than take it DOWN to the nearest ten if it's five or above take UP to the nearest ten

Hope it helped you

7 0

3 years ago

What is 3 1/2 multiplied by 2 1/4 as a mixed number or fraction

Nataly [62]

Hey there!

$3\frac{1}{2}$ × $2\frac{1}{4}$

$3\frac{1}{2}$ = $\frac{7}{2}$

$2\frac{1}{4}$ = $\frac{9}{4}$

$\frac{7}{2}$ × $\frac{9}{4}$

$7\times9 = 63$

$2\times4 = 8$

$\boxed{Answer: \frac{63}{8} ; 7\frac{7}{8} }$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

7 0

2 years ago

Read 2 more answers

Andrea has 18 yards of fabric. How many 4 inch pieces can she cut from her original place?

Galina-37 [17]

4inches = 1/3 of a foot (4inches x 3 = 12 inches) - so she can cut 3 out of each foot

1 yard = 3 feet - so she can cut 3 x 3 = 9 out of each yard

18 x 9 = 162 pieces

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2 years ago

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Keith will run at most 39 miles this week. So far, he has run 21 miles. What are the possible numbers of additional miles he wil

Luda [366]

Uhhh 18?? 9+9, 10+8, 7+11, 6+12, 5+13, 4+14, 3+15, 2+16, 1+17

3 0

2 years ago