Answer:
24+48+10+14+4=100
10+4=14
14/100, or 7/50 chance
Step-by-step explanation:
Experimental probability is the result of an individual experiment, not theoretical probability
4x + 5y = 9
5y = -4x + 9
y = -4/5x + 9/5......slope intercept form (y = mx + b)
In y = mx + b form, which is what this equation is in now, the slope is in the m position and the y int is in the b position
y = mx + b
y = -4/5x + 9/5
so ur slope(m) = -4/5 and ur y int (b) = 9/5
Answer:
x = -2
Step-by-step explanation:
7x -6y = -20
y=1
7x - 6 = -20
7x = -14
x = -2
• Angles DXC and AXB form a vertical pair, so they are congruent and have the same measure.
• ∆ABD is isosceles, since it's given that AD and BD are congruent. This means the "base angles" BAD and ABD have the same measure; call this measure <em>x</em>.
• The measure of angle ADB can be computed by using the inscribed angle theorem, which says
m∠ADB = 1/2 (100°) = 50°
(that is, it's half the measure of the subtended arc AB whose measure is 100°)
• The interior angle to any triangle sum to 180° in measure. So we have in ∆ABD,
m∠ADB + 2<em>x</em> = 180°
Solve for <em>x</em> :
50° + 2<em>x</em> = 180°
2<em>x</em> = 130°
<em>x</em> = 65°
• Use the inscribed angle theorem again to find the measure of angle BAC. This will be half the measure of the subtended arc BC, so
m∠BAC = 1/2 (50°) = 25°
• Now in ∆ABX, we have
m∠AXB + 25° + 65° = 180°
m∠AXB = 90°
Hence m∠DXC = 90°.