Answer:
1480 feet
Step-by-step explanation:
180yd x 2 = 360yd
change to feet: 360 x 3 = 1080 feet
200ft x 2 = 400ft
1080 + 400 = 1480ft
Answer:
<em>∠B is the largest interior angle of the triangle, and AC is the</em><em> largest</em><em> side.</em>
Step-by-step explanation:
Relationship of sides to interior angles in a triangle-
- The shortest side of a triangle is always opposite to the smallest interior angle.
- The longest side of a triangle is always opposite to the largest interior angle.
So converse of the second property is the side opposite to the largest interior angle is always the largest side.
As ∠B is the largest interior angle of the triangle, so its opposite side which is AC will be the largest side.
9514 1404 393
Answer:
D. (-3, -2)
Step-by-step explanation:
The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.
Using (x, y) = (-2, -3):
x = y -1 ⇒ -2 = -3 -1 . . . . False
Using (x, y) = (-3, -2):
x = y -1 ⇒ -3 = -2 -1 . . . .True
2x = 3y ⇒ 2(-3) = 3(-2) . . . . True
The solution is (-3, -2).
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If you'd like to solve the set of equations, substitution for x works nicely.
2(y -1) = 3y
2y -2 = 3y . . eliminate parentheses
-2 = y . . . . . . subtract 2y
x = -2 -1 = -3
The solution is (x, y) = (-3, -2).
Answer:
142° is the measure of angle 2.
Step-by-step explanation:
When two lines intersect, they make four angles. The angles facing each other are equal.
Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.
The measure of angle 3 = 38 degrees.
We know that the angle 1 is against angle 3 and is equal to 38.
Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.
Now, the sum of all four angles = 360 degrees
∠1 + ∠2+ ∠3 + ∠4 = 360°
38° + x + 38° + x = 360°
2x = 360° - 76°
2x = 284°
x = 142°
Hence, ∠2 = 142°
Answer:
10:9
Step-by-step explanation:
First ratio is 5:4. 4 is equal to Henry class
If you múltiply the ratio by 2 you get
10:8, This ratio can be compared because now Henry class has 8
2(5:4)
10:8
8:9
Meaning that the answer is 10:9
