Answer:
Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
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Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
Hope this helps!! :)
Please let me know if you have any questions
10 - p.
Nicholas would have spent $p, so he has $p less than $10!
Answer:
=1
Step-by-step explanation:
(-2-√3)(-2+√3)
=-2(-2+√3)-√3(-2+√3)
=4-2√3+2√3-√9
=4-3
=1
Answer:x = - 5
y = 2
Step-by-step explanation:
The given system of simultaneous equations is expressed as
x + 3y = 1 - - - - - - - - - - - - - -1
4x + 4y = -12 - - - - - - - - - - - 2
We want to eliminate x. Multiplying equation 1 by 4 and equation 2 by 1, it becomes
4x + 12y = 4
4x + 4y = - 12
Subtracting the second equation from the first equation, it becomes
8y = 16
y = 16/8 = 2
Substituting y = 2 into equation 1, it becomes
x + 3 × 2 = 1
x + 6 = 1
x = 1 - 6 = - 5
Simplified value of subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is 
.
Given Expressions 7x+27x+2 and -5x^2-2x−5x 2 −2x.
Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.
We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.
7x+27x+2=34x+2------------------1
=
--------------------2
Now subtract 1 from 2
=-34x+2
=.
Hence the simplified value of subtraction is .
Learn more about expressions at brainly.com/question/723406
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