Games: $471; System: $157
s = cost of the system, and g = cost of the games
It is given that s+g = 628
and g=3*s
s+3*s = 628
4s = 628
s = 157
s+g = 628
157+g= 628
g= 628-157
g= 471
Answer:
m<1 = 45°
m<2 = 76°
m<3 = 80°
Step-by-step explanation:
<u>Points to remember</u>
1). Vertically opposite angles are equal
2). Sum of angles of a triangles is 180°
<u>To find the measures of given angles</u>
From the figure we get,
m<1 = 45° [Vertically opposite angles]
By using angle sum property <2 + 59 + 45 = 180
m<2 = 180 - 104
m<2 = 76°
Also m<1 + m<3 + 55 = 180
m<3 = 180 - (m<1 + 55)
= 180 - (45 + 55)
= 180 - 100
m<3 = 80°
<h3>
Answer: 82</h3>
====================================================
Explanation:
Let A be the tens digit and B be the units digit
We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.
"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.
Now multiply each of those items by 4
4*2 = 8
4*3 = 12
4*5 = 20
4*7 = 28
Of those results, only 4*2 = 8 leads to a single digit answer.
This must mean that A = 8 and B = 2
Therefore the number is AB = 82.
For #6;
We know that there are 46% male students and 30% of them are seniors. This means that we have to assume that 30% of the male students are seniors and that 30% of the female students are seniors. Taking 30% of 46% gives us 13.8%.
For #7;
We are looking for the possibility that we choose a junior student (22%) or a sophomore student (28%). This adds up to 50% (22%+28% = 50%). That is out answer.
The total angle sum of a triangle is 180°
As such, 180= 78 + 2s +4s
102= 6s
s=17
