Answer:
67 degrees
Step-by-step explanation:
alternate exterior angles are always congruent
Answer:
The larger number is 60
The smaller number is 14
Explanation:
Assume that the larger number is x and that the smaller number id y.
We are given that:
1- The sum of the two numbers is 74. This means that:
x + y = 74
This equation can be rewritten as:
x = 74 - y .............> I
2- Four times the smaller number (4y) subtracted from the larger number (x), the result would be 4. This means that:
x - 4y = 4 ..............> II
Substitute with I in II and solve for y as follows:
x - 4y = 4
74 - y - 4y = 4
74 - 5y = 4
5y = 70
y = 70/5
y = 14
Substitute with the value of y in equation I to get x as follows:
x = 74 - y
x = 74 - 14
x = 60
Hope this helps :)
Answer:
Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis
Step-by-step explanation:
Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example, the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.
Answer:
5
Step-by-step explanation:
Answer:
A ≈ 24.6 units²
Step-by-step explanation:
Given 2 sides and the included angle ( angle between the 2 sides ) then the area (A) is calculated as
A =
ab sinC
Here a = 12, b = 5 and C = 55° , then
A =
× 12 × 5 × sin55° = 30 × sin55° ≈ 24.6 units²