The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that
58º + <em>xº</em> + <em>xº</em> = 180º
58 + 2<em>x</em> = 180
2<em>x</em> = 122
<em>x</em> = 61
Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that
<em>xº</em> + <em>yº</em> = 180º
and
<em>xº</em> + <em>zº</em> = 180º
and consequently, <em>y</em> = <em>z</em>. In particular, we get
<em>y</em> = 180 - 61
<em>y</em> = 119
and so
<em>z</em> = 119
Answer:
are you looking for the substiution
Step-by-step explanation:
Mr edwards = Mr r x 2
Mr r = Mr p - 3 = Mr e ÷ 2. Mr p = 30
Mr e + Mr r = 81. Mr e = 54
Mr p = Mr r + 3. Mr r = 27
Mr Edwards = 2(Mr p - 3)
Mr e = 2(mr p) - 6
Mr r = [2(Mr p) -6] ÷ 2
Mr r = [2( Mr r + 3) - 6] ÷ 2
2(Mr r) + (Mr p - 3) = 81
2(Mr p -3) + (Mr p - 3) = 81
3(Mr p - 3) = 81
3(Mr p) - 9 = 81. Hope this helps!!!
3(Mr p) + 9 = 81 + 9
3(Mr p) = 90
Mr p = 90 ÷ 3
Mr p = 30
Answer:
Yes
Step-by-step explanation:
A complete probability model should sum up the probability to 1
by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12
So, they can be a complete probability model with 3 outcomes "2", "3" & "4"
The answer would be about 89%
to solve this problem first you would have to subtract 4 from 36 to get 32 because you want to know how many she got right first .
so you put 32 over 36 ( the number she got right over the total number of questions ) and n ( the number you don't know yet ) over 100 . that will be the percent .
next all you have to do is cross multiply 32 times 100 and 36n , to get 3200 and 36n .
now you have to divide 3200=36n by 36 so you get n by its self but you have to divide on both sides of the equal sign .
when you divide you will then get 88 with a lot of remainder 8's so you would just round up to 89 .
finally you know n = 89% so she got 89% of her questions right .
