Answer:
99inches
Step-by-step explanation:
The ratio of the sides of a triangle =2:4:9.
perimeter = 165 inches,
Total ratio= 2+4+9=15
perimeter = 165
Divide the perimeter by total ratio
165/15=11
Each of the sides
= (2×11) =22
(4×11) =44
(9×11)=99
the length of the longest side= 99inches
Answer:
40 students
Step-by-step explanation:
If the tickets are 1/5 that means they cost 4/5
25 * 4/5 = 20
The tickets cost 20 and the train costs 15 so the total per person is 35
Teachers: 2 at 35 = 70
1500 -70 = 1430
Take 1430 / 35 =40.85714286
We can send 40 students
Answer:
∠YXZ = 62°
Step-by-step explanation:
A straight line measures 180 degrees
The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:
Z + 8x - 14 = 180
Z = 180 +14 - 8x
Z = 194 - 8x
Sum of 3 angles of a triangle is 180 degrees, thus we can write:
X + Y + Z = 180
3x + 5 + 4x + 194 - 8x = 180
Now, we solve for x:

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:
3x + 5
3(19) + 5
62
Thus,
∠YXZ = 62°
Answer:
y intercept is one and slope is one
Step-by-step explanation:
Answer:
2 1/14
Step-by-step explanation:
First, we will equalize the denominators of the fractions.
(1/7) × 2 = 2/14
Then we can solve this equation.
2 2/14 - 1/14 = 2 1/14