9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
Answer:
C. x = 8 , y = 40
Step-by-step explanation:
since this is an Isosceles triangle 5x = 40° and x = 8
The sum of interior angles in a triangle is equal to 180°
40° + 5x + 2y + 20 = 180° add like terms
5x + 2y = 120
40 + 2y = 120 ➡ 2y = 80 and y = 40
Answer:
An equation is c = 15m
Step-by-step explanation:
Answer:
47/10 = 4 7/10
Step-by-step explanation:
3 2/5 + 1 3/10
1. Write mixed numbers as improper fractions:
17/5 + 13/10
2. Write equivalent fractions with a common denominator:
34/10 + 13/10
3. Add the numerators over the common denominator.
47/10
4. Simplify.
4 7/10
First use Pythagoras theorem to find the remaining length of the base.
Then multiply the base with the altitude and divide that by 2 and you'll get the area
