9514 1404 393
Answer:
∠1 = 67°; ∠2 = 113°
Step-by-step explanation:
<u>Given</u>:
∠1 = 2x-3
∠2 = 3x +8
∠1 +∠2 = 180
<u>Find</u>:
∠1, ∠2
<u>Solution</u>:
Substituting the first two relations into the third, we have ...
(2x -3) +(3x +8) = 180
5x +5 = 180 . . . eliminate parentheses
x + 1 = 36 . . . . . divide by 5
x = 35
Then the angles are ...
∠1 = 2x-3 = 2(35) -3
∠1 = 67°
∠2 = 3x +8 = 3(35) +8
∠2 = 113°
1:2=5:10, hope this helps
X = adult tickets
y= child tickets
x + y = 11
44.95x + 34.95y = 434.45
-44.95x - 44.95y = -494.45
-10y = -60
y = 6 child tickets
x + 6 = 11
x = 5 adult tickets
Answer: A and E
Step-by-step explanation:
A. Correct
You know this is an isisceles triangle because of the markers on the sides. The markers mean the sides are equal. Also, the lengths are both 8.
B. Incorrect
A scalene triangle is a triangle where all 3 sides have different lengths. The picture shows an isosceles triangle.
C. Incorrect
Even is this may seem like an acute triangle because of the 45°, but this is actually not an acute triangle. An acute triangle requires for all its sides to be less than 90°. The right angle at the bottom right is 90°, not less than.
D. Incorrect
An equilateral triangle has 3 equal sides. The 3 sides in thsi triangle are not equal.
E. Correct
This is a right triangle. You can tell by the right angle label on the bottom right.
F. Incorrect
An obtuse triangle has an angle that is greater than 90°. No angle on this triangle is larger than 90°.
