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3 years ago

Lines and triangles practices

Mathematics

1 answer:

Marianna [84]3 years ago

4 0

<1 = 123
60 + 63 = 123
180 - 123 = 57
180 n- 57 = 123

Triangle angle-sum theorem
Alternate exterior angles theorem (?)
Same side interior angles theorem

idk what the last one is about sorry

hope this helps

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Which institution informs individuals and businesses about their rights and responsibilities?

Mama L [17]

Answer:

A. The Federal Trade Commission

Step-by-step explanation:

The FTC inaugurated its doors in March 1915. The FTC's purpose is to protect consumers and encourage contestants. The FTC cannot solve individual grievances, but it can present knowledge about what steps to exercise. The FTC states that accusations can improve it and its law implementation partners identify patterns of fraud and exploitation, which may direct to examinations and preventing unfair marketing practices.

4 0

3 years ago

Read 2 more answers

Please help

ASHA 777 [7]

Answer:

(-6,4)

Step-by-step explanation:

The equations are:

$x^2+4y^2=100\\4y-x^2=-20$

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

$4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100$

Now we can solve for y:

$4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5$

So plugging in y = 4 into an equation and solving for x, we have:

$x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6$

So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.

5 0

3 years ago

A quadrilateral has exactly one right angle and two nonadjacent angles that each measure 105 degrees

LiRa [457]

Answer:

C) Kite

Step-by-step explanation:

The problem states that the polygon is a quadrilateral, meaning it has 4 sides. This rules out D, as pentagons have 5 sides. Our next clue is that this shape has only one right angle, ruling out A and B, because, by definition, rectangles and squares must have four 90 degree angles. We can already see that we are left with only one choice, but to confirm: a kite has 2 opposite angles of 105 degrees, like the problem states.

Therefore, the answer is C) Kite

Hope this helps!

8 0

4 years ago

If y varies inversely as x, and y = 23 when x 8, find y when x 4.

Virty [35]

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation