You may solve this ratio by cross multiplying. To do this, you multiply the numbers diagonally across from each other.
x/10 = 1/5
10(1) = x(5)
10 = 5x
2 = x
Answer:
x = 2
Answer:
- a = 36°
- b = 36°
- c = 72°
- d = 72°
- e = 108°
- f = 16°
- g = 74°
- h = 70°
Step-by-step explanation:
You are expected to know and make use of the following relations:
- vertical angles are congruent
- angles of a linear pair are supplementary
- angles of a triangle sum to 180°
- alternate interior angles are congruent (at parallel lines)
- corresponding angles are congruent (at parallel lines)
- acute angles of a right triangle are complementary
- base angles of an isosceles triangle are congruent
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For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.
b and 144° are a linear pair, so b = 180° -144° = 36°
a and b are alternate interior angles, so a = b = 36°
2d and 144° are corresponding angles, so d = 144°/2 = 72°
e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e
f and 164° are a linear pair, so f = 180° -164° = 16°
g and f are complementary, so g = 90° -16° = 74°
g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°
c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°
Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.
Hope this helps :)
Step-by-step explanation:
To turn a mixed number into an improper fraction, multiply the bottom number of the fraction, or the denominator by the whole number, and then add the top number of the fraction to that number. Put the number you get over the denominator For example:
2 1/4⇒ 4 x 2=8 8+1= 9
9/4 would be your improper fraction
Answer:
84 square units.
Step-by-step explanation:
<h2>Area of scalene triangle:</h2>
Here, a, b and c are the sides of the triangle. s is the semi perimeter.
a = 13
b = 14
c = 15
s -a = 21 - 13 = 8
s -b = 21 - 14 = 7
s - c = 21 - 15 = 6
