Answer:
m = 1
Step-by-step explanation:
11m + 13 = m + 23
<u>Get m by itself by subtracting m from both sides. </u>
10m + 13 = 23
<u>Subtract 13 from both sides.</u>
10m = 10
<u>DIvide by 10.</u>
m = 1
Answer:
<h3><u>1.</u>)</h3>
3n + 1 = 7n - 5
1 + 5 = 7n - 3n
6 = 4n
3/2 = n
<h3><u>2</u><u>.</u>)</h3>
2[x + 3(x - 1)] = 18
2[x + 3x - 3] = 18
2(4x - 3) = 18
8x - 6 = 18
8x = 12
x = 12/8
x = 3/2
<h3>
<u>3</u><u>.</u>)</h3>
6(y + 2) - 4 = -10
6y + 12 - 4 = -10
6y = -10 - 8
6y = -18
y = -3
<h3>
<u>4</u><u>.</u>)</h3>
2x² = 50
x² = 50/2
x = √25
x = 5
<h3>
<u>5</u><u>.</u>)</h3>
5 + 2(k + 4) = 5(k - 3) + 10
5 + 2k + 8 = 5k - 15 + 10
2k - 5k = -5 - 13
-3k = -18
k = 6
<h3>
<u>6</u><u>.</u>)</h3>
6 + 2x(x - 3) = 2x²
6 + 2x² - 6x = 2x²
-6x = 2x² - 2x² - 6
x = 1
<h3>
<u>7</u><u>.</u>)</h3>
2/3x - 18 = x/6
12(2/3x - 18 = x/6)
8x - 216 = 2x
8x - 2x = 216
6x = 216
x = 36
<h3><u>
8.</u>
)</h3>
x - 2/3 = 2x + 1/4
12(x - 2/3 = 2x + 1/4)
4x - 8 = 6x + 3
4x - 6x = 8 + 3
2x = 11
x = 11/2
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
n = 8, w = 3 and perimeter = 122.83 units.
Step-by-step explanation:
Let the angle M is the angle between the equal sides of isosceles JAM.
So, JM = MA
⇒ 35 = 4n + 3
⇒ 4n = 32
⇒ n = 8 (Answer)
Now, if ∠ J = 14w - 1 and ∠ M = 98°, then
2(14w - 1) + 98 = 180
⇒ 2(14w - 1) = 82
⇒ 14w - 1 = 41
⇒ w = 3 (Answer)
Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.
So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}
Hence,
⇒ JP = 35 cos 41 = 26.415
So, JA = 2 × JP = 52.83
So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)