<h3>
Answer: Angle Q = 133 degrees</h3>
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Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.
Answer:
.00227 or 5/2197
Step-by-step explanation:
following the basic rules of PEMDAS, we know that we have to solve for the exponent first.
so.... 5/2197
as a decimal, this is .00227...
Answer:
Option c) y=
is correct
The value of y is 3
Step-by-step explanation:
Given equation is
To solve the given equation for y
(converting mixed fraction to normal fraction )
(taking LCM 25 )
(adding the terms )
(now convert fraction into mixed fraction )
Therefore y=
Option c) y= is correct
The value of y is 3
Answer:
the hypothesis is "two angles are complements"
Step-by-step explanation:
In the given statement, the hypothesis is "two angles are complements".. While the conclusion is that "they are both acute".
The hypothesis of the two angles being complements is what led to the conclusion that they are both acute since sum of 2 complementary angles is 90° and acute angle is any angle that measures less than 90°.
