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BARSIC [14]
3 years ago
15

If five times the measure of an angle is decreased by 30, the result is the same as when two times the measure of the angle is i

ncreased by 18. What is the measure of the angel
Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

  16

Step-by-step explanation:

Let "a" represent the measure of the angle. Then ...

  5a -30 = 2a +18

  3a = 48 . . . . . . . add 30-2a

  a = 16 . . . . . . . . . divide by 3

An angel is beyond measure, but this angle has measure 16.

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Arturiano [62]
She used 10 more gallons of green paint

Hope this helps if it does yourwelcome
6 0
3 years ago
Eargbkzvukuahdfbvvukhzdfbkufhbaw4jhbale&bLUsfhbvULHsfbf
pogonyaev

Answer:

a - 13/30

Step-by-step explanation:

2/5 +x = 5/6

2/5 + x -2/5 = 5/6 - 2/5

x = 13/30

6 0
3 years ago
Marley runs 5 yards down the track from point A to point B, and then stops and runs
julia-pushkina [17]

Answer:

\sqrt{61}=AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

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3 0
3 years ago
Show a reciprocal numerical expression for each equation using multiplication, please!
iris [78.8K]
\frac{2}{3}÷ 4 = \frac{2}{3} \times  \frac{1}{4} = \frac{1}{6}

\frac{1}{8}÷ 3 = \frac{1}{8} \times \frac{1}{3} = \frac{1}{24}

\frac{3}{4}÷ 6 = \frac{3}{4} \times \frac{1}{6} = \frac{1}{8}

\frac{1}{36}÷ 2 = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}

4 0
3 years ago
Find the value of each variable.
Harrizon [31]

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

8 0
2 years ago
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