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2 years ago

PLZ HELP ASAP INSCRIBED QUADRILATERALS

Mathematics

1 answer:

svp [43]2 years ago

8 0

For an inscribed quadrilateral, opposite angles add up to 180 degrees. In this case, if we are looking for the measure of angle D, we can use the fact that angles I & D add up to 180 degrees. Since angle I = 117:
117 + D = 180
D = 63 degrees

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Please help me solve question 2

sergiy2304 [10]

Answer:

solution: ( 3 , 6 )

$\sf y =6$

$\sf x =3$

Step-by-step explanation:

$\sf y = \frac{2}{3} x+4$

$\sf 2x+3y = 24$

make y the subject in equation 2:

$\sf 2x+3y = 24$

$\sf 3y = 24-2x$

$\sf y = \frac{24-2x}{3}$

insert this in equation 1:

$\sf \frac{24-2x}{3} =\frac{2}{3} x+4$

$\sf \sf \frac{24-2x}{3} =\frac{2x+12}{3}$

$\sf (24-2x) = (2x+12)$

$\sf -2x-2x=12-24$

$\sf -4x=-12$

$\sf x =3$

solve for y:

$\sf y = \frac{24-2x}{3}$

$\sf y = \frac{24-2(3)}{3}$

$\sf y =6$

8 0

2 years ago

Read 2 more answers

Write the first five digits of 1/7 in base 9 expression

kaheart [24]

Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:

1/9 = 7/63

2/9 = 14/63

while

1/7 = 9/63

Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,

1/7 = 1/9¹ + 2/63.

We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and

1/9² = 7/567

2/9² = 14/567

3/9² = 21/567

while

2/63 = 18/567

Then

2/63 = 2/9² + 4/567

1/7 = 1/9¹ + 2/9² + 4/567

Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and

1/9³ = 7/5103

2/9³ = 14/5103

3/9³ = 21/5103

4/9³ = 28/5103

5/9³ = 35/5103

6/9³ = 42/5103

while

4/567 = 36/5103

so that

4/567 = 5/9³ + 1/5103

and so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103

Next, LCM(5103, 9⁴) = 45927, and

1/9⁴ = 7/45927

2/9⁴ = 14/45927

while

1/5103 = 9/45927

Then

1/5103 = 1/9⁴ + 2/45927

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927

One last time: LCM(45927, 9⁵) = 413343, and

1/9⁵ = 7/413343

2/9⁵ = 14/413343

3/9⁵ = 21/413343

while

2/45927 = 18/413343

Then

2/45927 = 2/9⁵ + remainder

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder

Then the base 9 expansion of 1/7 is

0.12512..._9

8 0

1 year ago

Whats the answer to the problem Pls

choli [55]

Answer:

j=42

Step-by-step explanation:

since it's 7x larger you just have to multiple 6 by 7 to find j

6 0

2 years ago

Read 2 more answers

Harley is on a trip with her dad. Her dad tells her that they've traveled 182.6 miles and they are 83% of the way to their desti

Natali5045456 [20]

0.83x=182.6

x=182.6/0.83

x=220 miles total trip length.

8 0

2 years ago

Please I need help asap

jasenka [17]

Answer:

Option D - x = 3 3/5

Step-by-step explanation:

Lets make the left side into an improper fraction :

2 2/5 = 12/5

Now let's make both fraction into equivalent ones but with the same denominator :

2/3 = 10/15

12/5 = 36/15

Now we substitute the equivalent values back into the equation :

10/15 × x = 36/15

Now we multiply both sides by 15 to remove the denominators:

10 × x = 36

Now we divide both sides by 10 and simplify :

x = 36/10

x = 18/5

x = 3 3/5

So our answer will be Option D

Hope this helped and brainliest please

7 0

1 year ago