Answer:
Step-by-step explanation:
Given that
Group Group One Group Two
Mean 26.00 23.00
SD 2.00 4.00
SEM 0.40 1.21
N 25 11
where group I represents female servers and group II male servers.
We have to calculate confidence interval for 90% for difference in means
The mean of Group One minus Group Two equals 3.00
df = 34
standard error of difference = 0.993
t critical = 2.034 for 90% df 34
Hence confid. interval at 90%
=Mean diff ±2.034 * std error of diff
= (0.98, 5.02)
Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?
3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.
Steps:
We set the equation to:
3x+13+7x+2+75=180
We can combine some terms
10x+90=180
Then, we isolate x
10x=90
And we divide by 10
x=9
Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a
3(9)+13
Multiply
27+13
Add
40
By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent
<h3>What is Angle Sum Property?</h3>
The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.
Using Angle Sum Property, in ΔMRQ
<M + <R + <Q= 180
<M + 42 + 85 = 180
<M = 180 -42
<M= 53°
Now, In ΔMRQ and ΔABC
<A= <R ,
<B = <M
AB = MR
Hence, By ASA criteria ΔMRQ ≅ ΔABC
Learn more about this concept here:
brainly.com/question/3486366
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Y = -5x +18
x can be any number, y can be change due to x value
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

Therefore the coordinates of point X is at (-13, -7)