Problem 23
A = 40
B = 3x+1
C = 3x+1
B and C are congruent, so they have the same angle measure
The three angles of any triangle add to 180 degrees
A+B+C = 180
40+(3x+1)+(3x+1) = 180
6x+42 = 180
6x = 180-42
6x = 138
x = 138/6
x = 23
Answer: B) 23
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Problem 24
AB is the midsegment parallel to XY
So AB is half that of XY
AB = (1/2)*XY
AB = (1/2)*28
AB = 14
Answer: B) 14
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Problem 25
Note the ratio of the given rectangle's sides: 7/12 = 0.583 roughly
Divide the answer choices in a similar fashion
A) 5/7 = 0.714
B) 14/36 = 0.389
C) 21/36 = 0.583
D) 21/48 = 0.4375
We get the same result in choice C as we did in the original rectangle
Answer: C) 21 ft x 36 ft
The total cost was 116% of the original bill;
Original bill was;

= <span>$22.5</span>
Answer:
There is evidence for the claim that less than 10% of the test results are wrong
Step-by-step explanation:
Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.
Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)
Sample proportion = 
H0: p = 0.10
Ha: p <0.10
(left tailed test)
p difference = 0.09-0.10 = -0.01
Std error = 
z statistic = -1.9245
p value = 0.027
Since p <0.05 we reject H0
There is evidence for the claim that less than 10% of the test results are wrong

- Simplify :- 1 + - w² + 9w.


Quadratic polynomial can be factored using the transformation
, where
are the solutions of the quadratic equation
.

All equations of the form
can be solved using the quadratic formula:
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

Square 9.

Multiply -4 times -1.

Add 81 to 4.

Multiply 2 times -1.

Now solve the equation
when ± is plus. Add -9 to
.

Divide -9+
by -2.

Now solve the equation
when ± is minus. Subtract
from -9.

Divide
by -2.

Factor the original expression using
. Substitute
for
and
for
.

<h3>NOTE :-</h3>
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨

This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)
Answer:
12 teams
Step-by-step explanation:
We know that 38 players can fit into 4 groups, 8 times ...
32 divide 8 = 4
We have the number with 96, and we need to find the groups
we do the same as done with the first one...
because 32 divided by 8 is 4
we do
96 divide 8 = 12
aswell
<h2><u>
<em>hope this helped : )</em></u></h2>