Answer:JKL and ∠RST are complementary.
m∠JKL = 36° and m∠RST = ( x + 15)°.
Find the value of x and the measure of ∠RST .
complementary angles are two angles whose sum is 90°
36%2Bx+%2B+15=90°
51%2Bx+=90°
x+=90-51°
x+=39°
->the measure of ∠RST== ( 39 + 15)=54°
both answer and explanation
Answer:
The equation, y=3 x,
Step-by-step explanation:
y=Distance traveled
x =Total time
Also, in terms of straight line
Slope =3= uniform Velocity
Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit, and 15 unit=Distance traveled in 5 (Unit of time).
→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.
Answer:
value of x = 26
value of y = 26 \|2
( 26 root 2 )
Step-by-step explanation:
here's the solution : -
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Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let
be the average life expectancy of its batteries.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Critical one-tailed test value for 0.10 significance level :

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
Answer:
The correct option is;
45°
Step-by-step explanation:
By angle sum theorem, we have that the sum of angles in a triangle = 180°
Therefore, we have;
When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;
The third angle + 60° + 75° = 180°
Which gives;
The third angle = 180°- 60° - 75° = 180°- 135° = 45°
The measurement of the third angle by the angle sum theorem will be 45°
The correct option is ∠third angle = 45°.