Answer:
x = 110°
Step-by-step explanation:
Given that AB = AD then Δ ABD is isosceles and the base angles are congruent, that is
∠ ABD = ∠ ADB = 35°
The sum of the 3 angles in the triangle = 180°, that is
x + 35° + 35° = 180°
x + 70° = 180° ( subtract 70° from both sides )
x = 110°
I'm not positive what your asking. If P is supposed to stand for probability, then the chance of the non-rap songs being played is calculated by using ratios. There are a total of 22 songs, 13 off which aren't rap. So the ratio is 13/22. Since 13 is a prime number, the ratio can't be simplified. The percent chance that a classical or rap song would play is 59%, which is calculated by dividing 13 by 22 and bringing the decimal 2 spaces to the right.
I hope this helps.
Answer:
<em>a</em><em>)</em><em>x</em><em>=</em><em> </em><em>68</em><em>°</em>
<em>b</em><em>)</em><em>x</em><em>=</em><em> </em><em>40</em><em>°</em>
<em>c</em><em>)</em><em>y</em><em>=</em><em> </em><em>115</em><em>°</em><em> </em><em>x</em><em>=</em><em> </em><em>65</em><em>°</em>
<em>d</em><em>)</em><em>y</em><em>=</em><em> </em><em>57</em><em>°</em><em> </em><em>x</em><em>=</em><em> </em><em>59</em><em>°</em>
<em>e</em><em>)</em><em>x</em><em>=</em><em> </em><em>47</em><em>°</em><em> </em><em>y</em><em>=</em><em> </em><em>43</em><em>°</em><em> </em><em>z</em><em>=</em><em> </em><em>133</em><em>°</em>
<em>f</em><em>)</em><em>x</em><em>=</em><em> </em><em>71</em><em>°</em>
Let x be the number of hours that Elizabeth volunteered in the hospital per week. With this representation, Katie volunteered for x + 3 hours per week and Siobhan volunteered for x - 1 hours per week. In three weeks, the equation would be,
3 (x + 3) = 3x + 3 (x - 1)
The value of x from the equation is,
x = 4
Therefore, Elizabeth volunteered for 4 hours per week, Katie for 7 hours a week and Siobhan for 3 hours a week. Multiplying all these values by 3 would give the amount of time they spent in hospital for 3 weeks.
