Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
The values of x are -22 and -2 and there are not extraneous solutions
<h3>How to solve the equation?</h3>
The equation is given as:
2|x + 7|= x - 8
Expand the absolute bracket
|2x + 14|= x - 8
Remove the absolute bracket
2x + 14 = x - 8 and 2x + 14 = -x + 8
Evaluate the like terms
x = -22 and 3x = -6
This gives
x = -22 and x = -2
Hence, the values of x are -22 and -2 and there are not extraneous solutions
Read more about absolute value expressions at:
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Answer:
63 Hope this helps you and everyone else :)
Step-by-step explanation:
First, multiply 9x2 to get 18. Then, multiply 9x5 to get 45. Finally add both numbers to get 63.
In the given question, there are several data of immense importance. based on these data's the answer to the question can be easily deduced. it is already given that the total utility bill for the month of April in Millers house is $132 and 42% of the bill was paid for gas. remaining amount is paid as electricity charges.
Now
Amount of money paid for gas = 132 * (42/100) dollars
= 5544/100 dollars
= 55.44 dollars
Then
The amount of money paid for electricity = (132 - 55.44) dollars
= 76.56 dollars
So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.
Answer:
<e & <g are vertical
<e & <a are corresponding
<e & <a are alternate interior angles
<g & <a are alternate exterior angles
<g & <f are none of the above
ur welcome. have a great day
