Answer:
∠LNM = 38°
∠M = 52°
Step-by-step explanation:
Here, ∠M = x
Let the measure of ∠LNM = ∠1
Now, ∠PNM + ∠1 = 180° (LINEAR PAIRS)
So, ∠1 = 180° - ∠PNM = 180° - 142°
= 38°
⇒∠1 = 38° , or ∠LNM = 38°
Now, in triangle LMN, by ANGLE SUM PROPERTY of a triangle
∠NLM + ∠X + ∠1 = 180°
or, 90° + x + 38° = 180°
⇒ x = 180° - 128° = 52°
Hence, the measure of x = 52° , or ∠M = 52°
Answer: (2x + 3) • (x-1)
Step-by-step explanation:
1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
(5x - 5) = 5 • (x - 1)
<span>36 divided by .40 = 90 so its 90
</span>
Answer:
8 tickets
Step-by-step explanation:
x = 10 in the given equation.
We have then:
C (x) = 17.5x - 10
C (10) = 17.5 * (10) - 10
C (10) = 165
Answer:
to buy 10 tickets cost:
$ 165
b. How many tickets can you buy with $ 130?
For this case we must make the substitution: C (x) = 130
We have then:
C (x) = 17.5x - 10
130 = 17.5x - 10
Clearing x we have:
17.5x = 130 + 10
17.5x = 140
x = (140) / (17.5)
x = 8
Answer:
You can buy 8 tickets with $ 130
Answer:
the residual is 0.2032
Step-by-step explanation:
The regression line has been given as:
Y^ = 0.00753X-0.06759
The paired observation for X is (31, 0.369)
The value of X is the empathy score under subject 15 = 31
The value of the brain activity under subject 15 is 0.369
So we have y^ = 0.00753(31) - 0.06759
= 0.1658
Then the residual = y - y^
= 0.369 - 0.1658
= 0.2032
Therefore the residual is 0.2032
Please check the attachment for the table, it will aid you in understanding the solution
