Two angles are complementary when their sum is equal to 90°.
So, ( 2x + 39 ) + ( 7x - 21 ) = 90°
9x + 18° = 90°
x = 8°
Putting value of x in the angles given :
( 2x + 39 )° = 2(8°) + 39° = 55°.
( 7x - 21 )° = 7(8°) - 21° = 35°.
Therefore, the angles are 55° and 35°.
Hence, this is the required solution.
The formula you use to find the circumference of a circle is πR² or pi x radius x radius, so since your radius is 14, the answer would be A.
Answer: Maureen's body eliminated the bacteria faster then Ken's as if you multiply 150 times 0.976 you get a number larger then 90 so Ken would have eliminated 150 mg of antibiotics slower then Maureen.
Answer:
∠ XAZ = 50°
Step-by-step explanation:
The measure of the circle = 360°
Given arc XYZ = 230°, then
arc XZ = 360° - 230° = 130°
The tangent- tangent angle XAZ is one half the difference of the intercepted arcs, that is
∠ XAZ =
(230 - 130)° = 0.5 × 100° = 50°
Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=
where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =
≈ 1.19
Gerald's standardized score is:
z(g)=
≈ 0.72
Since z(e) > z(g), Elanor has higher score