Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm
Answer: Option B, a linear relation.
Step-by-step explanation:
Let's analyze the points in the data:
the first 3 pairs are: (0,14.70) (10,19.03) and (20, 23.36)
We can see the differences between consecutive points and see if the relation is linear:
(10,19.03) - (0,14.70) = ( 10 - 0, 19.03 - 14.70) = (10, 4.33) now we need to see the quotient: 4.33/10 = 0.433
(20, 23.36) - (10,19.03) = (20 - 10, 23.36 - 19.03) = (10, 4.33), and the quotient is the same as before.
This means that the relation is a linear relation, where the slope os 0.433 and the x-intercept is 14.70, so the equation can be written as:
y(x) = 0.433*x + 14.70
Answer:
Is it possible for you to explain it a little more?
Step-by-step explanation:
Answer:
8 inches
Step-by-step explanation:
Use a Ratio:
12 inches : 1 1/2 hours
? inches : 1 hours
12/1.5 = x/1
8 = x/1
x = 8 * 1
x = 8 inches