9514 1404 393
Answer:
Step-by-step explanation:
You know the linear pair z° and 105° are supplementary angles, so ...
z = 180 -105 = 75
The other base angle of the isosceles triangle has the same measure, 75°. __
Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...
75° +75° +x° = 180° ⇒ x = 180 -150 = 30
The second relation gives ...
75° +x° = 105° ⇒ x = 105 -75 = 30
__
y° is supplementary to the left-side base angle, so is ...
y = 180 -75 = 105
Of course, you could also figure y from the symmetry of the figure.
The values of x, y, z are 30, 105, 75, respectively.
105 different outfits can wear on an individual day
<em><u>Solution:</u></em>
I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work
To find: Number of different outfits can I wear on an individual day
First he has to decide on a pair of pants and he has 5 different choices
For each of those choices he has a choice of 7 different button down shirts, so that gives him 5 x 7 = 35 different pant/shirt combinations
For each of those 35 different pant/shirt combinations, he has 3 pairs of shoes he could select, so altogether he has 35 x 3 = 105 different outfits
In short we can say,
different outfits = 7 x 5 x 3 = 105
So there 105 different outfits can wear on an individual day
You need to isolate the variable <em>h</em>.
1) Subtract both sides by 2.
-4h + 2 = 18
-4h + 2 - 2 = 18 - 2
-4h = 16
2) Divide both sides by -4 (the coefficient).
(-4h) / -4 = 16 / -4
h = -4
Answer:
$16
Step-by-step explanation:
Let his weekly allowance = x
Amount spent playing golf = x / 2
Amount earned for cleaning car = $4
Final amount at hand = $12
Mathematically ;
x/2 + 4 = 12
x/2 = 12 - 4
x/2 = 8
x = 2 * 8
x = $16
Weekly allowance = $16
I think the answer is c 90 percent chance
