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Nesterboy [21]
2 years ago
8

Select the reason why these triangles are

Mathematics
1 answer:
Kay [80]2 years ago
7 0

Answer is B. SAS

side angle side


Reason

the shared angle is congruent for both triangles.
the two sides are congruent because the ratio of 1:3 for both sides.

2/6 and 3/9 = 1/3 and 1/3


Also correct is AA angle angle

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
A is the same for both triangles

The corresponding angles are congruent - see attached picture - so angle angle is also correct

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Match each function with the corresponding restrictions to its domain when p(x)=2x and q(x) = 2^x.
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Recall that the domain of a function is the set of all x values of the function for which the function is defined.

Given that
p(x)=2x and q(x)=2^x


Given that
r(x)= \frac{q(x)}{p(x)} = \frac{2^x}{2x}
For the function to be undefined, the denominator should be zero
i.e. 2x = 0 which means that x = 0
Thus, the domain of the function is all real values of x except 0.

Therefore, the restriction is x ≠ 0.


Given that
r(x)= \frac{1}{p(x)-q(x)} = \frac{1}{2x-2^x}
For the function to be undefined, the denominator should be zero
i.e.
2x-2^x=0 \\ 2^x=2x
For x = 2,
2^2 = 2(2)=4
Also, for x = 1
2^1 = 2(1)=2
Thus, the domain of the function is all real values of x except 1 and 2.

Therefore, the restriction is x ≠ 1, 2.

Given that
r(x)= \frac{1}{p(x)+16q(x)}=\frac{1}{2x+16(2^x)}
For the function to be undefined, the denominator should be zero
i.e.
2x+16(2^x)=0 \\ 2x+2^4(2^x)=0 \\ 2x+2^{4+x}=0
For x = -2,
2(-2)+2^{4-2}=-4+2^2=-4+4=0.
Thus, the domain of the function is all real values of x except -2.

Therefore, the restriction is x ≠ -2.


Given that
r(x)=p(x)\circ q(x)=p(q(x))=2(2^x)
There is no value of x, for which the function is undefined.
Thus, the domain of the function is all real values of x.

Therefore, there is no restrictions to the domain of the function.


Given that
r(x)= \frac{q(x)}{p(x)+2}=\frac{2^x}{2x+2}
For the function to be undefined, the denominator should be zero
i.e.
2x+2=0 \\ 2x=-2 \\ x = -1
Thus, the domain of the function is all real values of x except -1.

Therefore, the restriction is x ≠ -1.
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Erin bought 8 pounds of apples, and Katie bought 5.
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HELP ME AND ANSWER THIS IK ITS -1 BUT ITS AN MULTIPLE CHOICE!! please don't guess thank you :) and I'll mark you as Brainlest :D
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1 and 0 would also work for this inequality!
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