Answer:
1
4
9
16
25
36
49
64
81
100
Step-by-step explanation:
1 = 1²
4 = 2 x 2 = 2²
9 = 3 x 3 = 3²
16 = 4 x 4 = 4²
25 = 5 x 5 = 5²
36 = 6 x 6 = 6²
49 = 7 x 7 = 7²
64 = 8 x 8 = 8²
81 = 9 x 9 = 9²
100 = 10 x 10 = 10²
Step-by-step explanation:
m = y2 - y1/ x2 - x1
= 16 - 12 / 16 - 4
= 4/12 = 1/3
formula = y - y1 = m2 ( x - x1)
y - 12 = 1/3 ( x - 4)
y -12 = 1x/3 -4/3
y = 1x / 3 -4/3+12
= 1x/3 + 32/ 3
y = 1x/3 + 32/3
Answer:
x = 25, y = 5
The interior angles:
<ABC = 75°
<BCD = 50°
<CDA = 105°
<DAC = 130
Step-by-step explanation:
The question has no attachment. See attachment for complete question.
Polygon ABCD is a cyclic quadrilateral.
For cyclic quadrilaterals, their opposite angles add up to 180°.
Meaning that;
2x + 26y = 180 ---- equation 1
and
3x + 21y = 180 ------ equation 2
These will be solved simultaneously..
Multiply ½ to both sides of equation 1
½(2x + 26y) = ½ * 180
½ * 2x + ½ * 26y = ½ * 180
x + 13y = 90
Make x the subject of formula
x = 90 - 13y
Multiply both sides of equation 2 by ⅓
⅓(3x + 21y) = ⅓ * 180
⅓ * 3x + ⅓ * 21y = ⅓ * 180
x + 7y = 60
Recall that x = 90 - 13y.
So, x + 7y = 60 becomes
90 - 13y + 7y = 60
90 - 6y = 60
Collect like terms
-6y = 60 - 90
-6y = -30
Divide both sides by -6
-6y/-6 = -30/-6
y = 5
Recall that x = 90 - 13y.
So, x = 90 - 13(5)
x = 90 - 65
x = 25
Having calculated x and y, the interior angles can then be calculated.
The interior angles of the polygon are
1. <ABC
2. <BCD
3. <CDA
4. <DAC
Recall that x = 25 and y = 5
<ABC = 3x
<ABC = 3 * 25
<ABC = 75°
<BCD = 2x
<BCD = 2 * 25
<BCD = 50°
<CDA = 21y
<CDA = 21 * 5
<CDA = 105°
<DAC = 26y
<DAC = 26 * 5
<DAC = 130
Hence,
x = 25, y = 5
The interior angles:
<ABC = 75°
<BCD = 50°
<CDA = 105°
<DAC = 130
Neither all can be substrates
Answer:
-x - 94/3
Step-by-step explanation:
5(x - 3) - 3(2x + 49/9)
5x - 15 - 6x - 49/3
(5x - 6x) + (-15 - 49/3)
-x - 94/3