Answer: 1375
Step-by-step explanation:
70-2= 70
70/2=35 (x=35)
4x=140
x^35=1225
1225+140=1375
Answer:
This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.
Equation: d = 20s, where d=distance and s=number of seconds.
Step-by-step explanation:
In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same). If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s. For example:
Since the constant is 20, we know that the horse can run 20 meters every second. To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:
d = 20s
Answer/Step-by-step explanation:
Given:
m<A = 115,
m<B = 78,
m<C = 35,
✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)
m<1 = 180 - 115 (substitution)
m<1 = 65°
✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)
m<2 + 65 + 78 = 180
m<2 + 143 = 180
m<2 = 180 - 143 (substitution property of equality)
m<2 = 37°
✔️m<3 = 180° - m<B (supplementary angles)
m<3 = 180 - 78
m<3 = 102°
Answer:
A=0,-2 1/2
Step-by-step explanation:
Answer:
x = 30°
y = 5
Step-by-step explanation:
The ∆ where you find x is an isosceles ∆ because two of its sides has a length of 40 each, since the other triangle has equal angles of 60° each, it also has equal length sides of 40.
Therefore, x is a base triangle of the isosceles, thus:
x = ½(180 - (180 - 60))
x = ½(180 - 120)
x = ½(60)
x = 30°
Let's find y.
8y = 40 (sides of an equilateral ∆ are equal)
Divide both sides by 8
y = 5