Answer:
b = 19
Step-by-step explanation:
- 2(b-1)=3(7-b) (distributive property)
-2b+2 = 21 - 3b
-2b+3b = 21-2
b = 19
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Get the app Photomath to do basic math like this, otherwise:
First flip the reciprocal - (-5/8) changes to (8/5).
Next reduce, the 5's change to 1, and the 12 and 8 leave it as...
(1/3) x 2 =
(2/3) As your answer
9514 1404 393
Explanation:
Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.
__
2. m∠6 = (1/8)m∠4 . . . . Given
3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary
4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)
Here is the "algebra" that gets you to line 5:
4a. 9m∠6 = 180° . . . collect terms
4b. m∠6 = 20° . . . . . divide by 9
4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4
5. m∠6 = 20°, m∠4 = 160° . . . . Algebra
Factor a difference of squares:
This reduces to
due to the Pythagorean identity. By the same identity, you have
and you're done.
